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5th grade foundations (Eureka Math/EngageNY)

Course: 5th grade foundations (Eureka Math/EngageNY)  > Unit 2

Lesson 8: Topic H: Foundations
Math
5th grade foundations (Eureka Math/EngageNY)
Module 2: Foundations
Topic H: Foundations
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Interpreting remainders

Google Classroom
Interpret remainders in word problems.

Introduction

In the last article, we learned that a remainder is what remains after dividing. For example, when dividing 7÷3, we get 2 with a remainder of 1, which can be written like this:
7÷3=2 R 1
But what do remainders mean in the real world? To answer this question, let's think through some examples.

Problem Set 1

Problem 1A
Charlie has $17 to spend on chocolate bars. Chocolate bars cost $3. Charlie buys as many chocolate bars as he can with his money.
Which of the following describes the remainder in this situation?
Choose 1 answer:

Problem 2: Penguins

There are 13 penguins going on a field trip to an iceberg. The penguins get into 6 equal-sized groups.
How many penguins will be in each group?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
penguins

How many penguins remain without a group?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
penguins

Fill in the blanks.
13÷6=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
R
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Problem 3: Apple pies

James has 41 apples to make apple pies. Each pie needs 7 apples.
How many pies can James make?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
pies

How many apples will James have left over? (How many apples remain?)
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
apples

Fill in the blanks.
41÷7=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
R
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Problem 4: Hot dogs

Sue grills 29 hot dogs. 9 people eat 3 hot dogs each.
How many hot dogs are left over? (How many remain?)
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
hot dogs

Fill in the blanks.
29÷9=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
R
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

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