57.36 in standard form (scientific notation) is 5.736 × 10¹. Standard form expresses a number as A × 10ⁿ, where 1 ≤ A < 10 and n is an integer. To convert 57.36, move the decimal point one place to the left to get 5.736, which means n = 1 (positive, because the original number is greater than 10).
57.36 in standard form = 5.736 × 10¹.
Standard form: A × 10ⁿ where 1 ≤ A < 10.
The decimal is moved 1 place to the left, so n = +1.
Verification: 5.736 × 10 = 57.36 ✓
Moving decimal left → positive exponent; moving right → negative exponent.
Standard form: A × 10ⁿ, where 1 ≤ A < 10
Step 1: Identify where to place the decimal The number is 57.36 We need A to be between 1 and 10, so move the decimal point to after the first non-zero digit. 57.36 → 5.736 (moved 1 place to the left)
Step 2: Determine the power of 10 We moved the decimal 1 place to the LEFT → n = +1
Step 3: Write in standard form 57.36 = 5.736 × 10¹
Verification: 5.736 × 10¹ = 5.736 × 10 = 57.36 ✓
Note: 10¹ can also be written simply as 10, so: 57.36 = 5.736 × 10
Rules for standard form (scientific notation): • Write as A × 10ⁿ where 1 ≤ A < 10 • If moving decimal LEFT → n is positive • If moving decimal RIGHT → n is negative • n = number of places decimal was moved
Examples: Number | Standard Form | n 5.7 | 5.7 × 10⁰ | 0 (already between 1 and 10) 57.36 | 5.736 × 10¹ | +1 (moved 1 left) 573.6 | 5.736 × 10² | +2 (moved 2 left) 5736 | 5.736 × 10³ | +3 (moved 3 left) 0.5736 | 5.736 × 10⁻¹ | -1 (moved 1 right) 0.05736 | 5.736 × 10⁻² | -2 (moved 2 right)
Related examples (57.xx numbers): • 57 = 5.7 × 10¹ • 57.3 = 5.73 × 10¹ • 57.36 = 5.736 × 10¹ • 570 = 5.7 × 10² • 5700 = 5.7 × 10³
57.36 in standard form is 5.736 × 10¹. To convert: move the decimal point 1 place to the left (57.36 → 5.736), making n = +1. Verification: 5.736 × 10 = 57.36 ✓
57.36 = 5.736 × 10¹. Scientific notation requires the coefficient (A) to be between 1 and 10. Moving the decimal one place left converts 57.36 to 5.736, and since we moved left, the power of 10 is positive: 10¹.
Standard form (scientific notation) expresses a number as A × 10ⁿ where 1 ≤ A < 10 and n is an integer (positive or negative). Example: 57.36 = 5.736 × 10¹; 0.0057 = 5.7 × 10⁻³.
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