Algebra, geometry, calculus, statistics and step-by-step solutions
0.006 in scientific notation is 6 × 10⁻³. Move the decimal 3 places right to get 6.0, so the exponent is −3. Step-by-step with more examples.
0.245 as a fraction is 49/200. Steps: write as 245/1000, find GCD(245,1000)=5, divide both by 5 to get 49/200. Verified: 49÷200=0.245.
Learn how to convert 100 Crores to Billions. Understand the mathematical relationship between the Indian numbering system and the International numbering system.
100 gaj = 900 square feet. 1 gaj = 1 square yard = 9 sq ft. Learn the conversion with formula, plot size chart, and FAQs.
10 million = 1 crore. 10,000,000 in the international system equals 1,00,00,000 in the Indian system. Learn to convert millions to crores easily.
Discover how many grams make up 10 tolas. Learn the difference between traditional tola measurements and modern retail jeweler measurements.
110 lb in kg is 49.9 kg. Learn the simple formula to convert pounds to kilograms with step-by-step calculation, conversion table & practical examples.
120 divided by 7 = 17 remainder 1. As a decimal: 17.142857... (repeating). As a mixed fraction: 17 1/7. Step-by-step long division with solution.
Learn how to write 12 Lakhs in numbers accurately. See the placement of commas in both the Indian and International number systems.
135 months = 11 years and 3 months. Since 1 year = 12 months, divide 135 by 12 to get the answer. Full conversion with steps and table.
157.5 cm = 5 feet 1.98 inches (approximately 5 feet 2 inches). Step-by-step cm to feet and inches conversion with formula.
1/5 kg in grams is 200 grams. Learn the simple formula to convert fractions of kilograms to grams with a step-by-step method, conversion table & examples.
1600 meter in km is 1.6 km. Learn the simple formula to convert meters to kilometers with step-by-step method, conversion table & real-world examples.
Learn how to convert 1.74 meters into feet and inches. Step-by-step mathematical conversion process for finding human height in the imperial system.
Learn how to easily convert 180 minutes into hours. Discover the simple mathematical formula to convert minutes to hours.
Convert 1.86 m to feet and inches accurately. Find out exactly how tall 1.86 meters is in the imperial measurement system.
Learn the multiplication tables of 18 and 19. Memorizing these tables helps speed up math calculations for students.
1 Angstrom (Å) = 10⁻¹⁰ metres = 0.1 nanometres = 100 picometres. Used to measure atomic radii, bond lengths, and wavelengths of light.
1 bigha = 400 gaj (in UP kachha bigha = 3600 sq ft). 1 gaj = 9 sq ft (1 sq yard). Bigha varies by state. Learn conversion with state-wise table and FAQs.
Learn exactly what 1 billion is equal to in millions. Understand the international number system and how to easily convert billions to millions.
1 kachha biswa = 180 sq ft; 1 pucca biswa = 1361.25 sq ft. 20 biswa = 1 bigha. Learn biswa to square feet conversion for UP and other states with FAQs.
1 cent = 435.6 square feet. A land measurement unit used in South India (Tamil Nadu, Kerala, Andhra Pradesh). Learn how to convert cents to sq ft.
1 cent = 435.6 square feet. Used in South India (Tamil Nadu, Kerala, Andhra Pradesh). 100 cents = 1 acre = 43560 sq ft. Convert cents to sq ft with formula.
Find out exactly how many lakhs make 1 crore in the Indian numeral system. Quick and easy number conversions with examples.
1 dismil (decimal) = 435.6 square feet. It is 1/100 of an acre. Used in Bihar, Jharkhand, West Bengal. 100 dismil = 1 acre = 43560 sq ft. Learn with FAQs.
1 foot mein 12 inch hote hain. 1 inch = 2.54 cm. Feet to inches conversion table and formula explained with examples in Hindi.
Janiye 1 foot me kitne cm hote hai. Learn the exact value of 1 foot in centimeters and how to convert feet to cm easily.
Janiye 1 inch me kitne cm hote hai. Accurate mathematical conversion of inches to centimeters (cm) with examples.
1 lakh = 1,00,000 and has 5 zeros. It equals 100,000 in the international system. Learn the Indian number system with lakhs, crores and zeros.
Learn 1 metre in feet and centimetres. 1 m = 3.281 feet and 1 m = 100 cm. Complete length conversion table for Class 6 Maths and everyday use.
1 metre = 3.281 feet. 1 foot = 0.3048 metres. Learn the formula to convert metres to feet and feet to metres with examples and a conversion table.
1 million = 0.1 crore = 10 lakhs. 10 million = 1 crore. Learn to convert between international (million, billion) and Indian (lakh, crore) number systems with FAQs.
Learn what 1 pavan and 1 tola equals in grams. 1 pavan = 8 grams (Kerala gold), 1 tola = 11.664 grams. Traditional Indian gold weight units explained.
Learn the exact mathematical conversion of 1 second to millisecond. Understand the metric prefixes, scientific notation, and how to convert larger units of time.
Memorise cube numbers from 1 to 25. Complete table of n³ values from 1³=1 to 25³=15625 for Class 8 Maths, competitive exams, and quick calculations.
1 tola = 11.6638 grams. A traditional Indian unit for measuring gold. 10 tola = 1 chhatank. Learn tola to gram conversion with examples.
Find out exactly how many grams are in 1 tola. Learn the traditional Indian weight measurement for gold and silver.
1 tola = 11.6638 grams. It is a traditional weight unit used for gold in India, Pakistan, Nepal, and Bangladesh. Learn the conversion with examples and FAQs.
1 metric ton = 10 quintals. 1 quintal = 100 kg, 1 metric ton = 1000 kg. Full conversion table between tons, quintals and kilograms with examples.
1 trillion in INR is 1 lakh crore (₹1,00,000 crore). Full conversion table — trillion to crores, lakhs, billion to crores, Indian numbering system explained.
Convert 200 minutes into hours and minutes. Learn the simple calculation to determine exactly how long 200 minutes is.
20 US cents = 20 × (USD/INR rate) ÷ 100 rupees. At ₹83/USD, 20 cents ≈ ₹16.60. Learn how to convert cents to rupees with the currency conversion formula.
Learn how to accurately write 20 Lakhs in numbers. See how many zeros are in twenty lakhs and how it translates to the international number system.
Learn how to write the number 22500 in words accurately for bank cheques, applications, and official documents.
225 divided by 3 = 75. Verified: 3 × 75 = 225. Step-by-step long division, divisibility rule, and related facts.
Learn the multiplication table of 28 from 1 to 20. Complete 28 times table with tips to memorise and verify answers quickly.
2 lakh = 2,00,000 in the Indian number system and equals two hundred thousand (200,000) internationally. Learn to write two lakh in numerals.
Find out exactly how many lakhs make up 2 million. Simple conversion between the international million and the Indian lakh numbering systems.
36.4°C = 97.52°F. Using the formula F = (C × 9/5) + 32. Step-by-step Celsius to Fahrenheit conversion. 36.4°C is slightly below normal body temperature.
Learn how to convert 400 cm to meters easily. Master the metric system formula for converting centimeters to meters with step-by-step examples.
Learn how to write the number 400 as a Roman numeral. Discover the subtraction rule used in ancient Roman mathematics.
Convert 400 million to crores. Learn the straightforward mathematical formula to switch between millions and crores.
Learn the prime factorisation of 529. 529 = 23 × 23 = 23². So √529 = 23. Step-by-step factor tree for Class 8 Maths.
57.36 in standard form (scientific notation) is 5.736 × 10¹. Move the decimal one place left. Full explanation with steps and examples.
Learn how to accurately write 5 Lakh in numbers with proper comma placement. Understand the number of zeros in five lakh in the Indian Number System.
Convert 5 million into lakhs accurately. Understand the difference between the million system and the Indian numbering system.
72 hours = 3 days. Since 1 day = 24 hours, 72 ÷ 24 = 3. Learn how to convert hours to days with formula and examples.
90 in Roman numerals is XC. X (10) placed before C (100) means 100 − 10 = 90. Full explanation with Roman numeral rules and a table of 80 to 100.
Calculate 9C4 (combinations). ⁹C₄ = 9!/(4!×5!) = 126. Step-by-step solution using the combinations formula for Class 11 Maths permutations and combinations.
Easily convert a 9 CGPA into a percentage. Learn the official CBSE formula (CGPA x 9.5) to calculate your final percentage accurately.
Learn the complete a² - b² formula and a³ + b³ + c³ - 3abc algebraic identity with derivations and solved examples for CBSE Class 8, 9.
a² − b² = (a+b)(a−b). This difference of squares identity is used to factorise expressions. Proof, examples, and applications included.
Learn the a³+b³+c³-3abc formula. Understand its factorization, proof, and the special condition when a+b+c=0 for Class 9 Maths.
Learn the important algebraic identity formula for a3 + b3 + c3. Discover the special case when a + b + c = 0 and how to solve problems.
a³+b³+c³−3abc = (a+b+c)(a²+b²+c²−ab−bc−ca). Special case: if a+b+c=0, then a³+b³+c³=3abc. Full derivation and solved problems.
A∩B (A intersection B) = elements common to both sets A and B. Learn definition, Venn diagram, properties, and solved examples. Also covers A∪B (union).
Learn the standard algebraic expansion formula for (a+b+c)^2. Understand how to derive it and solve mathematical polynomial equations.
The additive inverse of 256 is -256. Additive inverse of any number n is -n, because n + (-n) = 0. Examples and explanation for Class 6–8 Maths.
(a+b)²=a²+2ab+b², (a−b)²=a²−2ab+b², (a+b)(a−b)=a²−b². All standard algebraic identities for Class 8, 9, 10 with proofs and solved examples.
Learn the fundamental geometric properties of a cube. Find out why all six faces of a cube are identical squares and learn about its edges and vertices.
Learn the alpha beta formulas for quadratic equations. Find the sum of roots (α+β) and product of roots (αβ) formulas for Class 10 Maths.
Learn the formula for the angle between two lines using slopes. tan θ = |(m1 - m2) / (1 + m1m2)|. Parallel and perpendicular conditions explained.
What is the angle name for one fourth revolution? Learn about right angles, degrees in a circle, and basic geometry concepts for class 6.
An integer chosen at random between 1 and 100 — find probability it is divisible by 5, 8, prime, perfect square. 'Between' = 2 to 99 (98 integers). Full solutions.
Learn the formula for the area of a quadrant of a circle. Step-by-step geometric explanations and examples for class 10 mathematics.
Learn how to calculate the area of a major segment of a circle. Formula: Area of Circle - Area of Minor Segment. Class 10 Maths Circles explained.
Learn if the diagonals of a parallelogram are equal. Find out the properties of diagonals in squares, rectangles, rhombuses, and regular parallelograms.
Find out if the diagonals of a rhombus are equal in length. Learn the geometric properties of a rhombus and its diagonals.
Find out if the diagonals of a rhombus are equal. Learn the exact geometric properties of a rhombus, right angle intersection, and the difference from a square.
ATI TEAS math questions with answers — practice problems for numbers, algebra, measurement & data. Covers formulas, conversions, fractions & exam tips.
Solve: The average age of doctors and lawyers together is 40. Average of doctors alone is 35, lawyers alone is 50. Find the ratio. Solution using alligation method.
A besieged town has provisions for X men for Y days. If more/fewer men arrive, how long will provisions last? Solved using inverse proportion with steps.
Learn what the biggest 4-digit number is. Understand how to find the largest and smallest n-digit numbers easily for primary school math.
BODMAS = Brackets, Orders, Division, Multiplication, Addition, Subtraction. Learn the BODMAS rule with solved examples and practice questions with FAQs.
Learn the exact mathematical formula to calculate your final percentage of marks for 6 subjects. Simple step-by-step guide for school and college students.
जानें चार अंकों की सबसे बड़ी संख्या (Largest 4 digit number) और सबसे छोटी संख्या क्या है। हिंदी माध्यम गणित (Maths) के छात्रों के लिए महत्वपूर्ण जानकारी।
Chegg linear algebra help — free alternatives to Chegg for linear algebra, key topics covered, common problems, study tips & best free resources for students.
Learn the correct formula for the circumference (perimeter) of a semicircle. Understand why it is πr + 2r and see solved examples.
Learn the difference between clockwise and anticlockwise (counterclockwise) directions. Understand the concepts for math, physics, and daily life.
Learn what coincident lines are in geometry and algebra. Understand the condition for coincident lines in a pair of linear equations in two variables.
Learn how to find the common multiples of 12 and 18 step-by-step. Discover the LCM (36) and list out the first five common multiples for math practice.
A compass box (geometry box) contains: compass, divider, ruler, set squares (30-60-90 and 45-45-90), protractor, and pencil. Uses of each instrument explained.
Learn the definition of a complete angle (360 degrees). Understand how it relates to acute, obtuse, straight, and reflex angles.
Composite radicals (compound surds) are expressions involving two or more surds. Examples: √2 + √3, √5 − √3. Learn definition, types and rationalisation with FAQs.
Learn how to express consecutive even and consecutive odd numbers in algebra to solve word problems.
How to construct the circumcircle of a triangle: draw perpendicular bisectors of two sides, find circumcentre, draw circle. Step-by-step with diagram description. Class 9 10 Maths.
Learn how to convert volume from cubic centimeters (cm3) to liters (L). Discover the conversion formula (divide by 1000) and step-by-step examples.
Learn how to convert land area from Dismil (Decimal) to Hectare. Understand the exact math formula and use clear examples for land measurement in India.
Co-prime numbers are pairs of numbers whose HCF is 1. Examples: (8, 15), (4, 9), (1, n). They need not be prime individually. Learn properties and FAQs.
Learn how to calculate the exact values of cos 225 and sin 165 using trigonometric identities and quadrant rules.
Learn the step-by-step solution to the famous trigonometry problem: cos(24) + cos(55) + cos(125) + cos(204). Understand ASTC quadrant rules to get the answer 0.
Master the cos2A formula. Learn all three variations of the double angle identity for cosine in terms of sin, cos, and tan.
cos 37° = 4/5 = 0.8 (standard approximation). Exact value: cos 37° ≈ 0.7986. Derived from the 3-4-5 right triangle. Used in physics problems.
cos3x = 4cos³x − 3cosx is the triple angle formula. Also: sin3x = 3sinx − 4sin³x, tan3x formula. Full derivation and solved examples.
Step-by-step solution for the standard trigonometry problem: cos 45 / (sec 30 + cosec 30). Learn how to rationalize the denominator.
Learn the exact mathematical value of Cos 53° (3/5). Understand the famous 3-4-5 magic right-angled triangle used constantly in physics and JEE exams.
Learn the exact fractional and decimal value of Cos 53°. Understand how to derive it easily using the famous 3-4-5 right-angled Pythagorean magic triangle.
Learn the step-by-step mathematical solution to the complex trigonometry problem: cos^2(66) - sin^2(84). Master the cos(A+B)cos(A-B) identity formula.
Learn the important 'Sum to Product' trigonometric identities: cos C + cos D and cos C - cos D formulas. Quick math revision for Class 11 Trigonometry.
Learn all the formulas to calculate Cost Price (CP) in mathematics. Solve profit and loss problems easily with clear step-by-step examples.
Learn what a Cost Sheet is in management accounting. Understand the brilliant mathematical format used by massive factories to calculate the exact price of a product.
CPCT full form is Corresponding Parts of Congruent Triangles. If two triangles are congruent (≅), then by CPCT, all corresponding angles and sides are equal.
1 crore = 0.01 billion = 10 million. 1 billion = 100 crore. Complete conversion table for crore to billion and billion to crore with examples.
Learn the formula for the CSA (or Lateral Surface Area) of a cube. Understand why it is 4a² and see a clear, step-by-step solved example.
CSA of cone = πrl where r is radius and l is slant height. l = √(r²+h²). Full derivation, solved examples and key facts.
CSA of hemisphere = 2πr². TSA of hemisphere = 3πr² (curved + base). Full derivation, solved examples and comparison with sphere.
Cube root values from ∛1 to ∛50. Perfect cubes: ∛1=1, ∛8=2, ∛27=3. All values to 3 decimal places. Quick reference table for Maths.
Find out the cube root of 512. Learn the step-by-step prime factorization method to solve this common math problem easily. (Answer: 8)
Cube roots 1 to 20 with exact and decimal values. Complete ∛1 to ∛20 table, cube root formula, perfect cubes, how to find cube roots & solved examples.
Learn and memorize the cubes of numbers from 1 to 10. A useful chart for fast calculations in Class 8 mathematics and competitive exams.
Cubes of 1 to 30 — complete table from 1³ = 1 to 30³ = 27000. Learn cube values, perfect cubes, shortcut tricks, patterns & solved examples for exams.
Cubes of 1 to 50: complete table from 1³=1 to 50³=125,000. Key values, last digit patterns, cube root tips and solved examples for exams.
Can you convert cubic meter to square feet? Learn why you cannot directly convert a volume unit (3D) into an area unit (2D).
Learn the formula for the curved surface area of a cone. Understand how to find slant height and solve geometry problems easily.
A cube has NO curved surface — its curved surface area (CSA) = 0. Lateral surface area of cube = 4a². Total surface area = 6a². Class 9 Maths explained.
Learn the formula for the curved surface area (CSA) of a cylinder (2πrh). Understand the difference between CSA and Total Surface Area (TSA) with examples.
A cuboid has NO curved surface. The correct term is Lateral Surface Area (LSA) = 2h(l+b). Total Surface Area = 2(lb+bh+hl). Formulas with examples.
CSA of cylinder = 2πrh. Total surface area = 2πr(r+h). Volume = πr²h. Learn the formula with derivation and solved examples with FAQs.
Learn the definition and key mathematical properties of a Cyclic Quadrilateral. Understand the theorem regarding opposite angles adding up to 180 degrees.
Quick revision notes for Class 8 Math Chapter 'Data Handling'. Understand raw data, frequency distribution, histograms, and pie charts with clear definitions.
Learn how to accurately convert the traditional Indian land measurement 'Decimal' into standard Square Feet. Find out exactly how many sq ft are in 1 Decimal.
Learn why the degree of a zero polynomial is 'Not Defined'. Understand the mathematical logic behind constant and zero polynomials.
Learn how to easily find the derivative of 1/x and 1/x^2 using the power rule in calculus. Step by step solutions for Class 11 and 12 Math.
Learn the exact formula for the derivative of cos inverse x (arccos x). See the step-by-step mathematical proof using the chain rule and implicit differentiation.
Learn how to find the derivative of the exponential function e^(2x) using the chain rule in calculus. Step-by-step mathematical derivation.
Learn the formula for the derivative of sin inverse x (arcsin x). Understand the step-by-step mathematical proof using implicit differentiation.
d/dx(sin x) = cos x. Proof using first principles: lim(h→0)[sin(x+h)−sin(x)]/h = cos x. All trig derivatives covered.
Find the derivative of the inverse tangent function arctan(x). See the step-by-step proof using implicit differentiation for Class 12 math.
Diagonal of a cuboid = √(l²+b²+h²). Space diagonal is the longest diagonal inside a cuboid. Formula derivation, face diagonals, and solved examples.
Learn the three most important geometric properties of the diagonals of a rhombus: they bisect each other, they meet at 90 degrees, and they bisect the angles.
Learn the formula for the differentiation of sin inverse x. See the step-by-step derivation using the chain rule for Class 12 Calculus.
Learn the meaning of the directly proportional symbol (∝). Understand how to type it, its mathematical meaning, and the constant of proportionality (k).
Learn the universal mathematical formula for Distance. Understand how to calculate distance using Speed and Time, with simple real-world train examples.
Divide 96 in the ratio 5:7. The two parts are 40 and 56. Learn the step-by-step method to divide any number in a given ratio with examples and FAQs.
Learn the easy math trick for the divisibility rule of 11. Find out how to check if a massive number is divisible by 11 without using long division.
Divisibility rule of 8: a number is divisible by 8 if its last 3 digits form a number divisible by 8. Examples, shortcut method, and exercises with answers.
Learn to draw a line segment of length 6.3 cm using a ruler and compass. Steps include marking with ruler, and the compass-and-ruler construction method.
To draw a sector with arc of 60°: draw a circle, mark centre O, draw two radii OA and OB with 60° between them using a protractor. Learn the steps with FAQs.
Learn how many edges a cone and a cuboid have. A cone has 1 edge. A cuboid has 12 edges. Understand faces, vertices, and edges of 3D shapes.
80,000 in words is Eighty Thousand. In the Indian system it equals 0.8 lakh. See place value table, expanded form, and examples.
11,000 in words is Eleven Thousand. Expanded form: 1×10000 + 1×1000. In Indian system = 0.11 lakh. Place value table and examples included.
Learn Euclid's Division Lemma for Class 10 Maths. Statement: a = bq + r. Understand how it is used to find the HCF of two numbers with solved examples.
101 × 99 = 9999. Using identity (a+b)(a-b) = a²−b²: (100+1)(100−1) = 100²−1² = 10000−1 = 9999. Step-by-step solution.
501 × 501 = 251001. Solve using (a+b)² = a² + 2ab + b² identity where a=500, b=1. Learn the method with more examples and FAQs.
i^888 = 1. Since i^4 = 1, divide 888 by 4 to get remainder 0. i^888 = (i^4)^222 = 1. Learn the cyclic pattern of powers of i with examples and FAQs.
Learn why 2 is the only even prime number in mathematics. Understand the definition of prime numbers and why all other even numbers are composite.
Find out if every irrational number is a real number. Understand the classification of the Real Number system for Class 9 Mathematics.
Find out if every rational number is a real number. Understand the logical relationship between natural, whole, integers, rational, and real numbers.
Expand 1025.63 in place value form: 1000 + 0 + 20 + 5 + 0.6 + 0.03. Standard and exponential notation shown. Place value of each digit explained.
Expand 102.563 using exponents: 1×10² + 0×10¹ + 2×10⁰ + 5×10⁻¹ + 6×10⁻² + 3×10⁻³. Learn how to write any decimal in exponential expanded form.
log₁₀(385) = log₁₀5 + log₁₀7 + log₁₀11. Since 385 = 5 × 7 × 11, apply log(ab) = log a + log b. Learn with full working and log laws.
Learn how to convert grams to kilograms. Follow this simple step-by-step math guide to express 190g as 0.190 kg by shifting the decimal point.
Learn how to calculate and express 8 hours as a percentage of 2 days. Step-by-step math solution involving unit conversion from days to hours.
Learn the Exterior Angle Property of a Triangle. An exterior angle equals the sum of the two non-adjacent interior (opposite) angles. Solved examples included.
x² + 8x + 16 = (x + 4)². It is a perfect square trinomial. Also: x² − 8x + 16 = (x − 4)². Learn the method with examples and FAQs.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100. Prime factorisation = 2² × 5². Total 9 factors. All factor pairs listed. Class 5–7 Maths.
Learn how to find the factors of 15. Discover its prime factors, factor pairs, and understand why 15 is a composite number.
Learn how to easily calculate the factors of 20. Find out the positive and negative factor pairs and the prime factorization using a factor tree.
Learn how to find all the factors of 27. See the step-by-step division method, the factor pairs, and the prime factorization of 27.
Learn how to find all the factors of 35. Discover its prime factorization and understand why it only has four factors.
Learn how to calculate all the factors of 54. Understand the factor pairs, step-by-step division rules, and the prime factorization of 54.
Learn how to find the factors of 56. See the complete list of 8 factors, factor pairs, and learn the prime factor tree method for 56.
Find all 12 factors of the number 60. Learn its prime factorization and why 60 is considered a highly composite number in mathematics and timekeeping.
Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Prime factorization: 72 = 2³ × 3². 12 total factors. HCF/LCM applications.
Find all the factors of 90. Learn the prime factorization of 90, its factor pairs, and how to systematically find all factors using the division method.
Learn how to find all the factors of 96. Discover the 12 positive factors, the complete list of factor pairs, and the prime factorization calculation.
Learn the mathematical formula to find the foot of a perpendicular drawn from a point to a line. Clear explanation of the coordinates equation.
Learn all the essential math formulas for a 3D Cone. Discover how to calculate the Volume, Curved Surface Area (CSA), and Total Surface Area (TSA) with pi.
Learn the mathematical formula for calculating the Average (Mean). Understand how to add all the values and divide by the total number of items with examples.
Learn how to easily solve the famous 'Four bells toll together' math word problem using the LCM (Least Common Multiple) method. Step-by-step solution provided.
Find out what the greatest 7-digit number is. Learn how to write it in both the Indian and International number systems with commas and words.
Find the HCF of 24 and 36 using prime factorization and Euclid's Division Algorithm. The HCF is 12. Detailed step-by-step solution for Class 5 to Class 10.
1 Hectare = 247.105 cents. Hectare to cent conversion: multiply hectares by 247.105. Cent is a unit of land measurement used in South India. Formula and examples.
Convert common heights from metres to feet and inches. Learn 1.62m, 1.65m, 1.72m, 1.74m, and 1.83m in feet and inches instantly.
To find how many 4 cm cubes fit in a larger cube or cuboid, divide total volume by volume of small cube (64 cm³). Example: 12 cm cube gives 27 small cubes.
1000 hundreds make a lakh. 1 lakh = 1,00,000 = 100 × 1000 hundreds. Learn the Indian number system with place values and conversion table.
Learn exactly how many Lakhs are in 1 Crore. Understand the Indian numbering system, the placement of zeros, and how to convert Lakhs into Crores effortlessly.
Learn exactly how many Lakhs make One Crore in the Indian Number System. Understand the zeroes and simple conversion maths for 1 Crore.
Learn how to solve the classic Class 10 Arithmetic Progression (AP) math problem: How many multiples of 4 lie between 10 and 250. Step-by-step solution.
How many seconds in a year? There are 31,536,000 seconds in a regular year and 31,622,400 in a leap year. Full step-by-step calculation, formula & fun facts.
Learn exactly how many thousands make One Lakh in mathematics. Understand the simple zero logic and conversion of the Indian number system.
There are 52 weeks and 1 day in a regular year (365 days). A leap year has 52 weeks and 2 days (366 days). Calculation and explanation for Class 5–8 Maths.
Discover exactly how many zeros are in One Lakh (1,00,000). Learn the Indian place value chart from Ones to Lakhs and Crores.
1 crore has 7 zeros. 1 crore = 1,00,00,000 in the Indian system = 10,000,000 in the international system. Learn place values from ones to crores.
Learn what 1 Bigha is in terms of acres, hectares, and square feet. Understand the traditional land measurement systems used in UP, Bihar, and other Indian states.
Learn the answer to the classic math question: How much is Nine Twos? Understand basic multiplication, repeated addition, and the times tables.
Learn the step-by-step process to find the Median Class in a grouped frequency distribution table. Understand cumulative frequency (CF) for Class 10 math.
If cos9a = sina, then 10a = 90°, so a = 9°. Therefore tan5a = tan45° = 1. Step-by-step solution.
Learn what an improper fraction is in mathematics. See easy daily life examples and understand how to convert it into a mixed fraction.
Learn all traditional Indian land measurement units. Convert 1 cent to sq yards, 1 gunta to sq feet, 1 kanal to marla, and 1 bigha in your region.
Learn the exact mathematical formula and step-by-step derivation for the integration of 1 / (x^2 - a^2) using partial fractions in Class 12 Calculus.
Integration of cosec x = ln|tan(x/2)| + C or –ln|cosec x + cot x| + C. Full derivation, formula, and solved examples for Class 12 Maths.
Learn how to calculate the integration of log(2). Understand the massive trick behind integrating a mathematical constant in calculus.
Learn the exact formula for the integration of Sec x (Secant x). Discover the step-by-step mathematical proof using substitution and the natural logarithm.
Integration by parts: ∫u·v dx = u∫v dx − ∫(u'·∫v dx)dx. ILATE rule for choosing u. Solved examples with full working.
Learn the exact mathematical solution to integrate x^2 dx. Understand the Power Rule of Integration and why we must always add the constant 'C' at the end.
Learn the exact mathematical meaning of Intersecting Lines in geometry. Understand the 'Point of Intersection', vertical angles, and how they differ from parallel lines.
Yes, 0 is a rational number because it can be written as 0/1 (p/q form where q ≠ 0). 0 is also an integer, whole number, and natural number boundary. Explained with proof.
Is Pi a rational number? Discover why the mathematical constant Pi (π) is strictly an Irrational Number, despite the common fraction 22/7 used in school.
Learn the absolute truth about whether Zero (0) is a rational number. See the step-by-step mathematical proof based on the strict p/q fractional definition.
Learn Indian land measurement conversions. 1 dismil, 1 guntha, 1 hectare in bigha, 1 katha in dismil — all land units explained with values.
Learn what the largest four-digit number is. Understand the massive logic behind 9999 and how adding just 1 completely changes it into a 5-digit number.
Learn the latus rectum of a parabola. The latus rectum is the chord passing through the focus perpendicular to the axis. Length = 4a for parabola y² = 4ax.
जानें गणित में LCM का फुल फॉर्म (Lowest Common Multiple) क्या होता है। लघुत्तम समापवर्त्य का भारी अर्थ और इसे निकालने का आसान तरीका।
Find the LCM of 10 and 15 using prime factorization and listing multiples method. LCM = 30. Detailed step-by-step solution.
Learn how to find the exact LCM of 12 and 18 using the Prime Factorization method. Step-by-step math tutorial with clear examples.
Learn how to calculate the LCM of 306 and 657 using prime factorization. Also, find out what the largest 5-digit number is.
Learn how to calculate the LCM of 510 and 92 step by step using prime factorization. Verify the result using the massive HCF formula.
The LCM of 93, 62, and 120 is 3720. Find it by prime factorisation: 93=3×31, 62=2×31, 120=2³×3×5. LCM = 2³×3×5×31 = 3720.
The least (smallest) composite number is 4. Learn the definitions of composite numbers, prime numbers, and why 1 and 2 are neither composite nor both.
Learn the definition of Like Fractions with examples. Also, find the formula for the Lateral Surface Area (LSA) of a Cuboid in geometry.
What is the value of log infinity? Log(∞) = ∞ (infinity). Learn why the logarithm function has no upper bound and how this limit is understood mathematically.
Solve the classic linear equation word problem: 'After 15 years, Mary's age will be four times her present age. What is her present age?'
Learn the most important standard algebraic mathematical identities (like (a+b)^2) that every student must know to solve algebra problems quickly.
MathXL answers — study guide covering algebra, geometry, statistics, calculus, fractions, equations & step-by-step practice problems with homework tips.
Learn the mean proportional formula in maths. If a and b are two numbers, the mean proportional is √(a×b). Includes solved examples.
Mean proportion x between a and b satisfies a:x = x:b, giving x = √(a×b). Example: mean proportion of 4 and 16 = √64 = 8. Fully explained with steps.
Learn how to find the median of the first 7 composite numbers. Step-by-step math solution identifying composite numbers and applying the median formula.
Learn how to calculate the median of grouped data using the formula. Includes step-by-step method for Class 10 Statistics.
Complete list of mensuration formulas for Class 8 Maths. Covers area, perimeter of quadrilaterals, and volume of 3D shapes.
Learn the exact statement and mathematical proof of the Mid-Point Theorem in Class 9 geometry. Understand how a line connecting two mid-points is parallel to the massive base.
Understand the Mid-Point Theorem in geometry. Learn how the line joining the mid-points of two sides of a triangle is parallel to the third side.
Learn the multiplication tables of 26 and 37 for fast calculation in competitive exams like Bank PO, SSC, and Railways.
Learn where natural numbers start from. Understand the difference between natural numbers (starting from 1) and whole numbers (starting from 0).
Find out if every natural number is a whole number (True/False). Understand the difference between natural numbers (N) and whole numbers (W) in Class 9 Math.
Learn all important number conversions — lakh, crore, million, billion. Also understand unit conversions for length, area, time, and weight.
Learn the formula for the number of diagonals in any polygon. Solve for triangle, quadrilateral, pentagon, hexagon with step-by-step examples.
Learn how to solve number series questions for school maths and competitive exams. Covers arithmetic, geometric, Fibonacci, and mixed series.
Learn key number conversions: 0.1 lakh, 1 crore zeros, 10 crore, 10 million to lakh, 100000 spelling. Complete Indian and international number system guide.
How many square feet are there in one cent of land? Learn the exact conversion rate used in South Indian real estate (1 Cent = 435.6 sq ft).
Learn how one crore is written in numbers. Understand the Indian number system and convert crore to million, billion with examples.
Learn how to write one lakh fifty thousand in numbers using the Indian numbering system. Understand the correct placement of commas.
1,50,000 in words is One Lakh Fifty Thousand. In the International system it is 150,000. Learn Indian vs International number systems with place value.
Learn how to write one lakh twenty thousand in numbers. The correct format is 1,20,000 using the Indian comma system.
गणित (Maths): जानें परिमेय संख्या (Rational Numbers) किसे कहते हैं? इसके उदाहरण, परिभाषा (p/q रूप), और अपरिमेय संख्याओं से इसका अंतर।
Passing marks out of 80 = 27 marks (33% of 80 = 26.4, rounded to 27). CBSE and most Indian boards require 33% to pass. Calculation and passing mark table explained.
Learn how to solve percentage problems. Step-by-step guide: a company reduced price by 5%, profit-loss %, and discount calculations for Class 8 Maths.
Learn how to find the perfect square between 30 and 40. Understand the simple multiplication math behind perfect squares with clear examples.
Place value = digit × its positional value. Face value = the digit itself. Example: in 5,472, place value of 4 = 400; face value of 4 = 4. Learn with a table.
Preeti invested Rs 50000 at 8% per annum. Find Simple Interest and Compound Interest for 1, 2, and 3 years. Step-by-step solution for Class 8 Maths.
2907 = 3² × 17 × 19. Prime factorization of 2907 step by step: 2907 ÷ 3 = 969, 969 ÷ 3 = 323, 323 ÷ 17 = 19. All prime factors explained.
Prime factorization of 35280 = 2⁴ × 3² × 5 × 7². Step-by-step solution using division method with factor tree. Find LCM, HCF using prime factors.
Learn how to find the prime factorization of 36. Step-by-step division method and factor tree method with final exponential answer.
Learn how to find the prime factorization of 5005 step-by-step. Also, understand the basic Number System chart (Natural, Whole, Rational, Real numbers).
7429 = 17 × 19 × 23. Step-by-step: 7429÷17=437, 437÷19=23, 23 is prime. Verified: 17×19×23=7429. Full factor tree and prime check included.
Get the complete list of all 15 prime numbers from 1 to 50. Learn the definition of prime numbers, how to find them, and key properties.
Learn how to solve profit and loss questions. Key formulas for CP, SP, Profit%, and Loss% with solved examples for Class 8 and competitive exams.
Learn what a proper fraction is in mathematics. Understand the difference between proper, improper, and mixed fractions with easy examples.
Proof that √2 is irrational by contradiction: assume √2=p/q in lowest terms, then p and q are both even — a contradiction.
Prove that root 3 (√3) is an irrational number using proof by contradiction. Step-by-step proof with complete explanation for Class 10 CBSE Maths Chapter 1.
Pythagorean triplets are sets of three integers (a, b, c) where a²+b²=c². Examples: (3,4,5), (5,12,13), (8,15,17). Formula: (2m, m²−1, m²+1). Learn with FAQs.
Learn the formula for Quartile Deviation and Coefficient of Quartile Deviation. Understand Q1, Q3, and how it measures statistical dispersion.
Find out if every rational number is a whole number (True/False). Understand the difference between fractions, decimals, and whole numbers in Class 9 Math.
Learn the mathematical definition of a Reflexive Relation. Understand the formula (a,a) ∈ R and see simple examples from Class 12 Relations and Functions.
How to represent 1.3 on a number line — Class 9 Maths. Step-by-step method: divide the segment between 1 and 2 into 10 equal parts; 3rd part = 1.3.
गणित (Maths): सरल हिंदी में जानें सम संख्या (Even Numbers) और विषम संख्या (Odd Numbers) किसे कहते हैं, और इनकी पहचान कैसे करें।
जानें शंकु का आयतन (Volume of a Cone) निकालने का सूत्र। बेलन और शंकु के आयतन में क्या संबंध है? कक्षा 9 और 10 गणित के लिए महत्वपूर्ण सूत्र।
sec 60° = 2. Because cos 60°=1/2 and sec=1/cos, so sec 60°=1/(1/2)=2. cosec 60°=2/√3, cot 60°=1/√3. Complete trig table at 60°.
Learn the exact formula for Self Inductance of a coil. Understand how L = μ₀n²V is derived and what affects the self-inductance of a solenoid.
Seventeen thousand = 17,000 in numerals. Learn place value, expanded form, Indian system, and how to write seventeen thousand in numbers for Class 3–5 Maths.
70,000 in words is Seventy Thousand. It equals 7 ten-thousands = 0.7 lakh. See place value table, expanded form, and examples.
256^(5/8) = 32. Since 256 = 2^8, we get (2^8)^(5/8) = 2^5 = 32. Learn to simplify fractional exponents step by step with FAQs.
sin 120° = √3/2 ≈ 0.866. 120° is in 2nd quadrant: sin(120°)=sin(180°−60°)=sin 60°=√3/2. cos 120°=−1/2, tan 120°=−√3.
sin 37° = 3/5 = 0.6 (standard approximation). Exact value: sin 37° ≈ 0.6018. From the 3-4-5 right triangle. Used in physics problems.
Learn the exact values of sin 37°, cos 37°, sin 53°, and cos 53° in fraction form. These are essential trigonometric values for CBSE Class 10 exams.
Learn the sin3x formula in trigonometry. Understand the expansion sin(3x) = 3sinx - 4sin³x and see a quick outline of its derivation.
A skew symmetric matrix satisfies Aᵀ = −A. All diagonal elements = 0. Properties, examples, and how to express any square matrix as sum of symmetric and skew symmetric.
Learn the formula for the slant height of a cone (l = √(r² + h²)). Understand how Pythagoras theorem is used to calculate it in Mensuration.
The smallest 4 digit number is 1000. It comes after 999 (the largest 3-digit number). Explanation with place value, predecessor, and number facts.
The smallest 5 digit number is 10000. It comes after 9999 (the largest 4-digit number). Explanation with place value and number facts.
Find out what the smallest 6-digit number is. Learn how to construct the smallest and greatest numbers in mathematics and write them with commas.
The smallest 8-digit number with exactly five different digits is 10,000,234. Digits used: {0,1,2,3,4}. Step-by-step solution explained clearly.
Learn what the smallest even number is. Is it 0 or 2? Understand the mathematical definition of even numbers and the concept of zero.
Math Basics: Find out the smallest one-digit number. Learn why the answer changes (0 or 1) depending on whether you are talking about Whole or Natural numbers.
The smallest prime number is 2. It is the only even prime number. A prime has exactly 2 factors: 1 and itself. List of prime numbers 1–100 and properties.
Learn what the smallest whole number is. Understand the clear difference between Natural Numbers (starting at 1) and Whole Numbers (starting at 0).
Splitting the middle term is a method to factorise quadratic expressions ax² + bx + c. Find two numbers whose sum = b and product = ac. Step-by-step examples.
Learn why you cannot directly convert Square Feet to Cubic Meters. Understand the difference between 2D area (sq ft) and 3D volume (cubic meter).
For a square plot with a 3m wide path inside: inner side = outer side − 6m. Area of path = Outer area − Inner area. Full solution with examples.
Square root table from 1 to 30. Perfect squares: 1, 4, 9, 16, 25. Non-perfect square roots (approximate): √2=1.41, √3=1.73, √5=2.24. Complete list for Class 8–10.
Square root of 1.04 ≈ 1.0198. Methods: approximation formula √(1+x) ≈ 1+x/2, and exact method. Step-by-step calculation.
The square root of 44100 is 210. Find √44100 by long division method step by step. Also verified by prime factorisation: 44100 = 2²×3²×5²×7².
Learn the exact mathematical value of the square root of 5 (√5 = 2.236). Discover why it is an irrational number and how to calculate it using Long Division.
Get a handy reference list of squares and cubes from 1 to 50. Learn the difference between squaring and cubing a number for math calculations.
Get the complete list of squares from 1 to 40. Memorizing this table helps students solve algebra, geometry, and competitive exam calculations faster.
Squares of numbers from 1 to 50 — complete table from 1² = 1 to 50² = 2500. Learn square values, shortcut tricks, patterns, perfect squares & solved examples.
Learn the exact formula for calculating successive discounts. Understand why two 10% discounts are NOT equal to a single 20% discount with examples.
The successor of 10378695 is 10378696. The predecessor is 10378694. Learn what successor and predecessor mean with examples.
Sum of infinite GP: S∞ = a/(1−r), valid when |r| < 1. a = first term, r = common ratio. Examples like 1+1/2+1/4+...= 2.
All surface area and volume formulas for Class 10: Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere, Frustum. TSA, CSA, and Volume included.
Learn the multiplication table of 48 from 1 to 20. Discover simple math tricks to memorize and quickly calculate the 48 times table for competitive exams.
Learn the multiplication table of 75. A handy math reference guide for students to solve percentage, fraction, and time calculations faster.
tan 15° = 2−√3 ≈ 0.2679. Derived using tan(45°−30°) = (1−1/√3)/(1+1/√3) = 2−√3. Full step-by-step proof included.
Learn the complete tan 2x double angle formula. Understand its derivation from sin and cos double angle formulas with solved examples.
Learn the tan 3x formula in trigonometry. See the clear equation, how to memorize it, and its derivation using the compound angle tan(A+B) formula.
tan 90° is undefined (not defined). sin 90°=1, cos 90°=0, and tan=sin/cos=1/0=undefined. As angle→90°, tan→∞. Full explanation with unit circle.
Learn all important time conversions: 1 hour in seconds, 1 year in weeks, 9 months in weeks, 444 days in months, 1 inch in mm.
1 Tola = 11.664 grams. Traditional Indian unit of mass used for gold. Also equals 12 masha, 96 ratti, 0.375 troy ounce. Full conversion table included.
Class 11 Math: Memorize the sum-to-product formulas for Trigonometry (Sin C + Sin D) and the multiple angle formula for Sin 3θ.
Practice basic trigonometry questions and answers for Class 10 Maths. Solve problems using SOH CAH TOA, trigonometric ratios, and standard angles.
TSA of cone = πr(l+r) where r = base radius, l = slant height. Lateral surface area = πrl. Derivation and solved examples for Class 9 Maths NCERT.
Learn the formula for Total Surface Area (TSA) and Curved Surface Area (CSA) of a Hemisphere. Understand the derivation with solved examples.
Learn the name for two prime numbers that differ by 2 — they are called Twin Primes. Explore examples like (3,5), (11,13), and (17,19).
Learn how to correctly write Two Lakh in numbers (2,00,000). Understand the Indian Numeral System comma placement and how it differs from the International System.
Two Lakh = 2,00,000. Learn how to write two lakh in numbers, on a cheque, in the international system, and in words. Indian number system explained.
Learn quick unit conversions: 120 minutes = 2 hours, 135 pounds = 61.24 kg, 52 inches = 4.33 feet, 50 mm = 5 cm, 8 weeks = 2 months. Complete guide.
Learn the exact mathematical value of cos 15 degrees. See the step-by-step derivation using the cosine subtraction formula cos(A-B) = cos(45-30).
Learn the exact value of cos 15 degrees in fraction and decimal form. See the step-by-step derivation using the cos(A-B) formula.
Learn the exact fractional value of cos 37 degrees (4/5) used in physics and math. Understand how it is derived from the famous 3-4-5 right-angled triangle.
Learn the exact value of cot 30 degrees. Understand how to easily derive it using the inverse of tan(30) or the ratio of cos(30) divided by sin(30).
Learn how to mathematically solve log base 4 of 2 (log₄ 2). Understand the fundamental massive properties of logarithms with step-by-step calculation.
Learn the relationship between sin 50 and cos 40 degrees. Understand how complementary angles in trigonometry make sin(50°) exactly equal to cos(40°).
tan 30° = 1/√3 = √3/3 ≈ 0.5774. Derived from a 30-60-90 triangle: opposite side = 1, adjacent side = √3. Learn with trig table and FAQs.
जानें गणित में वर्ग (Square) किसे कहते हैं। वर्ग की परिभाषा, क्षेत्रफल (Area), परिमाप (Perimeter) के सूत्र और इसके प्रमुख गुण (Properties) हिंदी में समझें।
Solve vectors and displacement problems. If a car moves 17 km north from point A, learn resultant displacement using Pythagoras and vector addition for Class 10.
Learn what the vertices of a triangle are in Geometry. Understand the corners, how they connect edges, and how they are used to name shapes.
Learn how to solve typical math word problems involving discounts, selling price, and profit/loss percentage using basic algebra and formulas.
Learn the formula for the Volume of a Hollow Cylinder. Understand how to calculate the volume of metal pipes and tubes using outer and inner radii.
Learn what comes after a Crore in the Indian Numeral System. Discover Arab, Kharab, Neel, and how to count zeros in massive numbers up to Maha Shankh.
An Armstrong number equals the sum of its digits each raised to the power of the number of digits. Examples: 153, 370, 371, 407 (3-digit); 1634, 8208, 9474 (4-digit).
Learn the definition of ascending order in mathematics. Understand the difference between ascending (smallest to largest) and descending (largest to smallest) order.
Irrational numbers cannot be written as p/q (e.g., √2, π, e). √4=2, √9=3 are rational. Full explanation of rational vs irrational numbers with examples and MCQ tips.
The value of r closer to ±1 indicates a stronger correlation. r = +1 perfect positive, r = −1 perfect negative, r = 0 no correlation. Statistics Class 11/12.
Learn who discovered zero. Discover the fascinating history of '0' in mathematics, the contributions of Indian mathematicians Aryabhata and Brahmagupta.
13233343563715 is a composite number because it ends in 5, making it divisible by 5. A number divisible by 5 (other than 5 itself) is not prime — it's composite.
Learn x³+y³ and x³−y³ formulas. x³+y³=(x+y)(x²−xy+y²) and x³−y³=(x−y)(x²+xy+y²) with proof and solved examples for Class 9 Maths.
XXV in Roman numerals equals 25. X=10, X=10, V=5, so 10+10+5=25. Learn Roman numeral rules, subtractive notation, and a table from 1 to 30.
Learn the value of XXXVII in Roman numerals. XXXVII = 37. Understand how to read and convert Roman numerals using the additive method.