Question

Geraldine solved a problem: 68.5 ÷ 0.01 = 6,850.
Ralph said, "This is wrong because a quotient can’t be greater than the whole you start with. For example, 8 ÷ 2 = 4 and 250 ÷ 5 = 50." Who is correct? Explain your thinking.

Answer 1

Answer:

Geraldine is Correct

Step-by-step explanation:

Topic: Dividing numers and fractions

the statement Ralph tells has a flaw, he is right for numbers greater than one, but what happens with number in between (0 , 1)?

lets check Geraldine example

$\frac{68.5}{0.01}  = 6850$

remember how to transform decimals to fractions? look the image attached

you can express 0.01 as $\frac{0.01}{1}$ and by multiplying it by 100 the upper and down part of the fraction you have that

$0.01 * \frac{100}{100}  = \frac{1}{100}$

remember how to divide fractions?

$\frac{\frac{68.5}{1} }{\frac{1}{100} }$

by doing this you have that $\frac{68.5*100}{1*1} = 6850$

so we found out that geraldine is right!