Understanding Remainders

Understanding Remainders

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Remainders in division have different meanings, depending upon the type of problem you solve

When the remainder is not part of the question.

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Thomas has one 9-foot pine board. He needs to make 4-foot shelves for his books. How many shelves can he cut?

The 1-Foot board cannot by used to make another 4-foot shelf. He can make 2 shelves and the remainder is ignored.

A remainder causes the answer to be rounded up.

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Nine students are going on a field trip. Parents have offered to drive. If each parent can drive 4 students, how many parents need to drive?

The remainder causes your answer to round up. Two cars are not enough to transport 9 students. They will need 3 cars.

The remainder is a fractional part of the answer.

Open Ended

One Monday Kim brought 9 apples to school. She shared them equally among herself and 3 friends. How many apples did each person get?

Kim and her friends can each have 2 whole apples. They can divide the ninth apple into 4 equal parts so that each person can have 2 and 1/4 apple.

The remainder is a decimal part of the answer.

Open Ended

Raul bought 4 toy cars for $9.00. Each car cost the same amount. How much did each car cost?

Dollars, like apples, can be divided. We know that there are 4 quarters in $1, and we write 1/4 dollar as $0.25, so each car cost $2.25.

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The remainder is the only part needed to answer the question.

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Nine students have signed up to run a relay race. If each relay team can have 4 runners, how many students cannot run the race?

All of the teams have to be the same size. Any extra people cannot participate in the race. In this case, there can only be two teams of 4 each. The remainder represents the extra person who cannot participate.

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Maddie tried to divide 160 stickers equally among herself and 5 friends. There were some stickers left over, so she kept them. How many stickers did Maddie get.

26 with a remainder of 4. Since she kept the rest of the stickers, you add 26+4 to get the amount.

Kendra bought a bag of 200 cheese crackers for her class. If each student gets 7 crackers, how many students are there? How many crackers are left over?

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Jerry bought shelves to hold the 132 DVDs in his collection. Each shelf can fit 8 DVDs How many full shelves will Jerry have?

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Racheed had 87 pennies. He divided them equally among his 4 sisters. How many pennies did Racheed have left after he gave his sisters their shares?

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Mara wants to buy some new pencil boxes for her pencil collection. She has 47 pencils. If each pencil box holds 9 pencils, how many pencil boxes does Mara need to buy?

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Henry's coin bank hold only nickels. Henry takes $4.42 to the bank to exchange for nickels only. How many nickels will he get from the bank?

Multiple Select

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