Which one of these statements about decimals is FALSE?

Class 7Fractions and DecimalsFractions and Decimals

A0.7 and 0.70 represent the same number
BDividing a decimal by 10 moves its decimal point one place to the left
CIn 5.083 the digit 8 is in the hundredths place
D0.25 is greater than 0.5, because 25 is greater than 5

Step-by-Step Solution

Writing 0.5 as 0.50 shows the truth: 0.25 < 0.50, so that statement is false — you may only compare decimals place by place, never by the size of the digits after the point. The other three are correct: extra zeros on the right change nothing, ÷10 shifts the point one place left, and in 5.083 the 8 does sit in the hundredths place.

Answer: D) 0.25 is greater than 0.5, because 25 is greater than 5

Key idea: Dividing fractions: multiply by the reciprocal

Dividing by a fraction is the **same as multiplying by its reciprocal**. To divide, flip the second fraction (the divisor) and multiply.

(a/b) ÷ (c/d) = (a/b) × (d/c) = (a × d) / (b × c).

Example: (2/3) ÷ (4/5) = (2/3) × (5/4) = 10/12 = 5/6.

Why? Dividing by 1/4 is the same as asking 'how many quarters fit in this?' — which is the same as multiplying by 4. The reciprocal trick generalises that idea.

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