Section D: Practice Problems Dividing Larger Numbers

Section Summary

Details

In this section, we divided larger numbers and solved problems that involve division.

We used base-ten blocks, diagrams, and equations to represent the numbers we divided. To help us divide, we used what we know about place value, equal groups, and the relationship between multiplication and division.

For example, here are some ways we could find the value of $52 \div 4$ :

Put 5 tens and 2 ones into 4 equal groups.

Base ten blocks. 4 groups of 1 ten and 3 ones.

Think about how many groups of 4 are in 52.

10 groups of 4 make 40.
3 groups of 4 make 12.
13 groups of 4 make 52.

Use multiplication facts and write equations.

$4 \times 10 = 40$
$4 \times 3 = 12$

$10 + 3 = 13$
$4 \times 13 = 52$

At the end of the section, we used all four operations to solve problems.

Problem 1 (Lesson 18)

There are 85 chairs in the gym. They are arranged in 5 rows with the same number of chairs in each row. How many chairs are in each row? Show your thinking using diagrams, symbols, or other representations.

Problem 2 (Lesson 19)

Find the value of $96 \div 6$ . Use base-ten blocks if they are helpful.
Find the value of $52 \div 4$ . Use base-ten blocks if they are helpful.

Problem 3 (Lesson 20)

Find the value of $78 \div 6$ . Draw a diagram if it is helpful.
Find the value of $42 \div 3$ . Draw a diagram if it is helpful.

Problem 4 (Lesson 20)

Find the value of each quotient.

$96 \div 6$
$87 \div 3$

Problem 5 (Lesson 21)

There are 240 people at the park for the soccer games. There are 150 fans. The rest of the people are on 6 soccer teams with an equal number of players. How many players are on each soccer team?

Write an equation to represent this situation. Use a letter for the unknown quantity.
Solve the problem. Explain or show your reasoning.

Problem 6 (Exploration)

To find the value of $96 \div 3$ , Diego divides $9$ by 3 and $6$ by 3 and says the answer is 32.

Explain why Diego’s method is correct. Use equations or drawings to support your reasoning.
Does Diego’s method work to find the value of $78 \div 3$ ? Explain your reasoning.

Problem 7 (Exploration)

What are the different ways you can divide 48 objects into equal groups?

Make a list.
Write a multiplication or division equation for each different way.