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.

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

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

you can express 0.01 as and by multiplying it by 100 the upper and down part of the fraction you have that

remember how to divide fractions?

by doing this you have that

so we found out that geraldine is right!

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.