Study Guides/Maths/Smallest 4 Digit Number
Study Guide · Maths

Smallest 4 Digit Number — Value, Digits and Explanation

The smallest 4-digit number is 1000. A 4-digit number has digits in the thousands, hundreds, tens, and ones place. The smallest possible value for a 4-digit number uses the digit 1 in the thousands place and 0 in all other places, giving us 1000.

Question (Click to Flip)

What is the smallest 4-digit number?

Answer

The smallest 4-digit number is 1000 (One Thousand). It is formed by placing 1 in the thousands place and 0 in the hundreds, tens, and ones places. It comes just after 999, which is the largest 3-digit number.

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Key Facts

Smallest 4-digit number = 1000.

Predecessor of 1000 = 999 (largest 3-digit number).

Successor of 1000 = 1001.

1000 = 10³ = 10 × 100.

Largest 4-digit number = 9999.

Total number of 4-digit numbers = 9000 (from 1000 to 9999).

Smallest 4-digit odd number = 1001; smallest 4-digit even number = 1000.

What is the Smallest 4-Digit Number?

Smallest 4-digit number = 1000 (One Thousand)

Explanation: • A 4-digit number must have a non-zero digit in the thousands place • The smallest non-zero digit = 1 • For the remaining 3 places (hundreds, tens, ones), use the smallest possible digit = 0 • Therefore: 1, 0, 0, 0 → 1000

Place value breakdown: • Thousands: 1 (value = 1000) • Hundreds: 0 (value = 0) • Tens: 0 (value = 0) • Ones: 0 (value = 0) • Total = 1000

Key Number Facts

• Smallest 4-digit number = 1000 • Largest 3-digit number = 999 • Predecessor of 1000 = 999 (the number just before) • Successor of 1000 = 1001 (the number just after) • 1000 = 10 × 100 = 100 × 10 = 10³ • In words: One Thousand

Largest 4-digit number: • Largest 4-digit number = 9999 (Nine Thousand Nine Hundred Ninety-Nine) • Total 4-digit numbers = 9999 − 1000 + 1 = 9000

Smallest 4-Digit Numbers with Conditions

Smallest 4-digit number using all different digits: • Digits: 0, 1, 2, 3 → smallest = 1023 • (0 cannot be in thousands place)

Smallest 4-digit number using only odd digits: • Odd digits: 1, 3, 5, 7, 9 • Smallest = 1111

Smallest 4-digit number using digits 2, 5, 0, 8: • Arrange: 0, 2, 5, 8 → 2058 (0 cannot be first)

Smallest 4-digit even number: • 1000 (ends in 0, so it is even)

Smallest 4-digit odd number: • 1001 (ends in 1)

Questions and Answers

What is the smallest 4-digit number?+

The smallest 4-digit number is 1000 (One Thousand). It is formed by placing 1 in the thousands place and 0 in the hundreds, tens, and ones places. It comes just after 999, which is the largest 3-digit number.

What is the predecessor and successor of the smallest 4-digit number?+

The smallest 4-digit number is 1000. Its predecessor (number just before) is 999, and its successor (number just after) is 1001.

How many 4-digit numbers are there in total?+

The 4-digit numbers range from 1000 to 9999. Total 4-digit numbers = 9999 − 1000 + 1 = 9000.

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