Question

Which of the follwing equations has a quotient with a remainder?

Answer 1

Answer: Choice 2) A, B, C

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Explanation:

Use a calculator to find that,

• 946/32 = 29.5625
• 1157/11 = 105.1818 approximately
• 3524/44 = 80.0909 approximately
• 37392/82 = 456

The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.

As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.