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1 vote
Cheryl solved a problem: 84 ÷ 0.01 = 8,400.

Jane said, "Your answer is wrong because when you divide, the quotient is always smaller than the whole amount you start with, for example, 6 ÷ 2 = 3 and 100 ÷ 4 = 25." Who is correct? Explain your thinking.

User Jake Lin
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1 Answer

3 votes

Answer:

Cheryl is correct.

Explanation:

Cheryl solved a problem : 84 ÷ 0.01 = 8,400.

This is absolutely right.

When we divide any whole number with the divisor having decimal, we change the divisor to a whole number before performing the division.

To do this, we multiply both the numbers (divisor and dividend) by the same power of 10, until the divisor is a whole number.


(84* 10)/(0.01* 10) =
(840)/(0.1)

to make divisor a whole number we will again multiply both the numbers by 10.


(840* 10)/(0.1* 10) =
(8400)/(1) = 8,400

Now answer would be 8400.

Therefore, Cheryl is correct.

User Gaurawerma
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6.4k points