# Texas Go Math Grade 3 Lesson 10.4 Answer Key Relate Subtraction and Division

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## Texas Go Math Grade 3 Lesson 10.4 Answer Key Relate Subtraction and Division

Essential Question
How is division related to subtraction?
Repeated Subtraction is a method that subtracts the equal number of items fromÂ a group, also known as division.

Unlock the Problem
Serena and Mandy brought a total of 12 newspapers to school for the recycling program. Each girl brought in one newspaper each day. For how many days did the girls bring in newspapers?

â€¢ How many newspapers were brought in altogether?
12 newspapers
Explanation:
Serena and Mandy brought a total of 12 newspapers to school for the recycling program.
Each girl brought in one newspaper each day.
Total number of days girls bring the newspaper
12 Ã· 1 = 12

â€¢ How many newspapers did the two girls bring in altogether each day?
2 newspapers
Explanation:
Serena and Mandy brought a total of 12 newspapers to school for the recycling program.
Total newspapers the two girls bring in altogether each day is 2

One Way
Use repeated subtraction.

• Subtract 2 until you reach 0.
• Count the number times you subtract 2.

Since you subtract 2 six times, there are ___ groups of 2 in 12.
So, Serena and Mandy brought in newspapers for ___ days.
Since you subtract 2 six times, there are 6 groups of 2 in 12.
So, Serena and Mandy brought in newspapers for 6 days.

Be sure to keep subtracting 2 until you are unable to subtract 2 anymore.

Read: Twelve divided by two equal six.

Another Way
Count back on a number line.

• Start at 12.
• Count back by 2s as many times as you can. Draw the rest of the jumps on the number line.
• Count the number of times you jumped back 2.

You jumped back by 2 six times.
There are ___ jumps of 2 in 12.
12 Ã· 2 = ____
There are 6 jumps of 2 in 12.
12 Ã· 2 = 6
Explanation:
Count back by 2s as many times as you can.
â€¢ What do your jumps of 2 represent?
Represents the number of times jumped back 2.

Math Talk
Mathematical Processes

Question 1.
Draw the rest of the jumps on the number line to complete the division equation.
12 Ã· 4 = ___

3 jumps
12 Ã· 4 = 3

Explanation:
Start at 12
Count back by 3s
Count the number of times you jumped back 3.

Math Talk
Mathematical Processes
Explain how counting back on a number line is like using repeated subtraction.
Repeated Subtraction is a method that subtracts the equal number of items fromÂ a group, also known as division

Write a division equation.

Question 2.

10 Ã· 5 = 2

Explanation:
Start at 10
Count back by 5s
Count the number of times you jumped back 2.

8 Ã· 2 = 4
Explanation:

Subtract 2 until you reach 0.
Count the number times you subtract 2.

Problem Solving

Question 4.
Matt puts his box tops in 2 equal piles. How many box tops are in each pile?

5 box tops in each pile.
Explanation:
Matt puts his box tops in 2 equal piles.
Matt has 10 tops,
Number of box tops in each pile
10 Ã· 2 =5

Question 5.
H.O.T. Multi-Step Paige brought an equal number of box tops to school each day for 5 days. Alma also brought an equal number of box tops each day for 5 days. How many box tops did the two students bring in altogether each day? Explain.

9 box tops each day.
Explanation:
Paige brought an equal number of box tops to school each day for 5 days.
Total box tops Paige have 25
So, 25 Ã· 5 = 5
Alma also brought an equal number of box tops each day for 5 days.
Total box tops Alma have 20
20 Ã· 5 = 4
Number of box tops the two students brought altogether each day
5 + 4 = 9

Write Math What’s the Question? Dwayne puts all his box tops into bins. He puts an equal number in each bin. The answer is 5. What’s the question?
3 equal number of box tops in each bin.
Explanation:
Dwayne has 15 box tops.
the answer is given as 5
So, 15 Ã· 5 = 3
He puts 3 equal numbers of box tops in each bin.

Question 7.
H.O.T. Pose a Problem Write a word problem about collecting box tops that can be solved by using the division equation 28 Ã· 7 = 4. Then solve the problem.
Paige adds 3 more box tops and puts in 7 equal piles. How many box tops are in each box?
Each box has 4 box tops.
Explanation:
Paige have 25 box tops
Paige adds 3 more box tops and puts in 7 equal piles.
Total box tops in each box
28 Ã· 7 = 4.
Each box has 4 box tops.

Fill in the bubble for the correct answer choice.
You may use models or strategies to solve.

Question 8.
Multi-Step There are 16 dolphins in a pod. Each pod has the same number of males and females. The female dolphins are swimming in pairs. How many pairs of female dolphins are there?
(A) 8
(B) 4
(C) 6
(D) 2
Option(B)
Explanation:
There are 16 dolphins in a pod.
Each pod has the same number of males and females 16 Ã· 8 = 2
So, 8 males and 8 females.
The female dolphins are swimming in pairs.
Total pairs of female dolphins
8 Ã· 2 = 4

Question 9.
Representations What division equation is shown?

(A) 18 Ã· 2 = 9
(B) 18 Ã· 9 = 2
(C) 2 Ã— 9 = 18
(D) 18 Ã· 6 = 3
Option(D)
Explanation:
Given number line is divided into 3 equal parts.
Each part contains 6 counters.

Go Math Grade 3 Lesson 10.4 Subtraction and Division Question 10.
Multi-Step Tim has 30 grapes. He keeps 9 grapes for himself. Then he gives 7 grapes each to some of his friends. To how many friends does Tim give grapes?
(A) 3
(B) 4
(C) 10
(D) 7
Option(A)
Explanation:
Tim has 30 grapes.
He keeps 9 grapes for himself.
So, 30 – 9 = 21
Then he gives 7 grapes each to some of his friends.
Tim gives grapes to his friends
21 Ã· 7 = 3

Texas Test Prep

Question 11.
Renee has 18 photos. She wants to put the same number of photos on each of 6 pages in her photo album. How many photos will be on each page?
(A) 4
(B) 3
(C) 2
(D) 5
Option(B)
Explanation:
Renee has 18 photos.
She wants to put the same number of photos on each of 6 pages in her photo album.
Number of photos on each page
18 Ã· 6 = 3

### Texas Go Math Grade 3 Lesson 10.4 Homework and Practice Answer Key

Write a division equation.

Question 1.

14 Ã·Â  7 = 2

Explanation:
Start at 14
Count back by 7s
Count the number of times you jumped back 2.

Question 2.

9 Ã· 3 = 3
Explanation:
Given number line is divided into 3 equal parts.
Each part contains 3 counters.

Problem Solving

Use the graph for 3-6.

Question 3.
Beth sorts an equal number of her bottles into 3 bins. How many bottles are in each bin?

4 bottles in each bin.
Explanation:
Beth sorts an equal number of her bottles into 3 bins.
Total number of bottles of Beth 12
Number of bottles in each bin
12 Ã· 3 = 4

Malik and Kimi combine their bottles, then sort an equal number of each into 3 bins. How many bottles are in each bin?
9 bottles in each bin.
Explanation:
Malik and Kimi combine their bottles, 18 + 9 = 27
then sort an equal number of each into 3 bins.
Number of bottles in each bin
27 Ã·Â  3 = 9

Question 5.
Kimi collects another 7 bottles and sorts an equal number into 4 bins. How many bottles are in each bin?
4 bottles in each bin.
Explanation:
Kimi has 9 bottles at first and then,
collects another 7 bottles and sorts an equal number into 4 bins.
Number of bottles in each bin
16 Ã· 4Â = 4

Question 6.
All of the students want to combine their bottles and sort an equal number into 6 bins. Can they do this? Explain.
No, they cannot sort an equal number into 6 bins.
Explanation:
All of the students want to combine their bottles and sort an equal number into 6 bins.
Total number of bottles altogether 12 + 18 + 9 = 39
No, they cannot sort an equal number into 6 bins,
because when 39 Ã· 6, we get the remainder as 3.

Texas test Prep

Lesson Check

Question 7.
Wendy draws this number line.

Which division equation does she show?
(A) 12 Ã· 6 = 2
(B) 2 Ã— 6 = 12
(C) 12 Ã· 3 = 4
(D) 12 Ã· 4 = 3
Option(A)
Explanation:
Division usingÂ number line diagrams with one-unit intervals,
indicate hops in the reverse order as you divide up to 12 using 1 to 10 as divisors, and complete the
Â division sentences.Â

Tomas draws this number line.

Which division equation does he show?
(A) 16 Ã· 8 = 2
(B) 16 Ã· 2 = 8
(C) 4 Ã— 4 = 16
(D) 16 Ã· 4 = 4
Option(D)
Explanation:
The number line has 4 equal parts, in 4 groups.
Total numbers on number line are 16.

Question 9.
Key bakes 18 mini-pies. There are 6 pies on each tray. How many trays does Key use?
(A) 12
(B) 6
(C) 4
(D) 3
Option(D)
Explanation:
Key bakes 18 mini-pies.
There are 6 pies on each tray.
Number of trays Key used
18 Ã· 6 = 3

Question 10.
Keesha has 14 shoes in all. How many pairs of shoes does Keesha have?
(A) 7
(B) 2
(C) 28
(D) 14
Option(A)
Explanation:
Keesha has 14 shoes in all.
Total pairs of shoes Keesha have
14 Ã· 2 = 7

Question 11.
Multi-Step Tara has 32 beads. She takes out 4 red heads, then sorts the rest into 4 equal groups. How many beads are in each group?
(A) 7
(B) 4
(C) 8
(D) 9
Option (A)
Explanation:
She takes out 4 red beads,
so, 32 – 4 = 28
then sorts the rest into 4 equal groups.
Number of beads in each group
28 Ã· 4 = 7

Go Math Practice and Homework Lesson 10.4 Answer Key 3rd Grade Question 12.
Multi-Step Jeff has a booklet of 30 stickers. He uses one page of stickers. If there are 6 stickers on each page, how many pages are left?
(A) 4
(B) 24
(C) 5
(D) 6
Option (A)
Explanation:
Jeff has a booklet of 30 stickers.
He uses one page of stickers.
If there are 6 stickers on each page,
Total pages of stickers 30 Ã·Â  6 = 5
Number of pages left 5 – 1 = 4

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