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The number 5.6 is first divided by 10, and the result is then multiplied by 100. What is the final answer?

Class 7Fractions and DecimalsFractions and Decimals
  • A5.6
  • B0.56
  • C560
  • D56

Step-by-Step Solution

Dividing by 10 shifts the point one place left: 5.6 → 0.56. Multiplying by 100 shifts it two places right: 0.56 → 56. Stopping after the first step gives 0.56, and shifting three places right in one go gives 560.
Answer: D) 56

Key idea: Dividing decimals

Two cases:

**By a whole number**: divide as if the decimal weren't there, then place the decimal in the answer above its position in the dividend. 4.8 ÷ 6 = 0.8 (because 48 ÷ 6 = 8, and the decimal sits above).

**By a decimal**: shift the decimal point in BOTH numbers the same number of places to make the divisor a whole number. Then divide as in case 1. 4.8 ÷ 0.6 → shift one place → 48 ÷ 6 = 8.

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