# Interpreting remainders

CCSS Math: 4.NBT.B.6
Interpret remainders in word problems.

## Introduction

In the last article, we learned that a remainder is what remains after dividing. For example, when dividing $7\div 3$, we get $2$ with a remainder of $1$, which can be written like this:
$7\div3=2\text{ R } 1$
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?

## 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?
penguins

How many penguins remain without a group?
penguins

Fill in the blanks.
$13 \div 6=$
$\text{R}$

## Problem 3: Apple pies

James has $41$ apples to make apple pies. Each pie needs $7$ apples.
How many pies can James make?
pies

How many apples will James have left over? (How many apples remain?)
apples

Fill in the blanks.
$41 \div 7 =$
$\text{R}$

## 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?)
hot dogs

Fill in the blanks.
$29 \div 9 =$
$\text{R}$