Refer to our Texas Go Math Grade 3 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 3 Lesson 10.4 Answer Key Relate Subtraction and Division.

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

**Essential Question**

How is division related to subtraction?

Answer:

Repeated Subtraction is a method that subtracts the equal number of items from 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?

• How many newspapers were brought in altogether?

Answer:

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 ÷ 1 = 12

• How many newspapers did the two girls bring in altogether each day?

Answer:

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.

- Start with 12.
- 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.

Answer:

Since you subtract 2 six times, there are 6 groups of 2 in 12.

So, Serena and Mandy brought in newspapers for 6 days.

**Error Alert**

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 ÷ 2 = ____

Answer:

There are 6 jumps of 2 in 12.

12 ÷ 2 = 6

Explanation:

Count back by 2s as many times as you can.

• What do your jumps of 2 represent?

Answer:

Represents the number of times jumped back 2.

**Math Talk**

**Mathematical Processes**

Explain in your own words how you found the answer.

Question 1.

Draw the rest of the jumps on the number line to complete the division equation.

12 ÷ 4 = ___

Answer:

3 jumps

12 ÷ 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.

Answer:

Repeated Subtraction is a method that subtracts the equal number of items from a group, also known as division

**Write a division equation.**

Question 2.

Answer:

10 ÷ 5 = 2

Explanation:

Start at 10

Count back by 5s

Count the number of times you jumped back 2.

Question 3.

Answer:

8 ÷ 2 = 4

Explanation:

Start with 8.

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?

Answer:

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 ÷ 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.

Answer:

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 ÷ 5 = 5

Alma also brought an equal number of box tops each day for 5 days.

Total box tops Alma have 20

20 ÷ 5 = 4

Number of box tops the two students brought altogether each day

5 + 4 = 9

Question 6.

**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?

Answer:

3 equal number of box tops in each bin.

Explanation:

Dwayne has 15 box tops.

the answer is given as 5

So, 15 ÷ 5 = 3

He puts 3 equal number 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 ÷ 7 = 4. Then solve the problem.

Answer:

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 ÷ 7 = 4.

Each box has 4 box tops.

**Daily Assessment Task**

**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

Answer:

Option(B)

Explanation:

There are 16 dolphins in a pod.

Each pod has the same number of males and females 16 ÷ 8 = 2

So, 8 males and 8 females.

The female dolphins are swimming in pairs.

Total pairs of female dolphins

8 ÷ 2 = 4

Question 9.

**Representations** What division equation is shown?

(A) 18 ÷ 2 = 9

(B) 18 ÷ 9 = 2

(C) 2 × 9 = 18

(D) 18 ÷ 6 = 3

Answer:

Option(D)

Explanation:

Given number line is divided into 3 equal parts.

Each part contains 6 counters.

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

Answer:

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 ÷ 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

Answer:

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 ÷ 6 = 3

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

**Write a division equation.**

Question 1.

Answer:

14 ÷ 7 = 2

Explanation:

Start at 14

Count back by 7s

Count the number of times you jumped back 2.

Question 2.

Answer:

9 ÷ 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?

Answer:

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 ÷ 3 = 4

Question 4.

Malik and Kimi combine their bottles, then sort an equal number of each into 3 bins. How many bottles are in each bin?

Answer:

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 ÷ 3 = 9

Question 5.

Kimi collects another 7 bottles and sorts an equal number into 4 bins. How many bottles are in each bin?

Answer:

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 ÷ 4 = 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.

Answer:

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 ÷ 6, we get remainder as 3.

**Texas test Prep**

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 7.

Wendy draws this number line.

Which division equation does she show?

(A) 12 ÷ 6 = 2

(B) 2 × 6 = 12

(C) 12 ÷ 3 = 4

(D) 12 ÷ 4 = 3

Answer:

Option(A)

Explanation:

Division using 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 division sentences.

Question 8.

Tomas draws this number line.

Which division equation does he show?

(A) 16 ÷ 8 = 2

(B) 16 ÷ 2 = 8

(C) 4 × 4 = 16

(D) 16 ÷ 4 = 4

Answer:

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

Answer:

Option(D)

Explanation:

Key bakes 18 mini-pies.

There are 6 pies on each tray.

Number of trays Key used

18 ÷ 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

Answer:

Option(A)

Explanation:

Keesha has 14 shoes in all.

Total pairs of shoes Keesha have

14 ÷ 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

Answer:

Option (A)

Explanation:

Tara has 32 beads.

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 ÷ 4 = 7

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 were left?

(A) 4

(B) 24

(C) 5

(D) 6

Answer:

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 ÷ 6 = 5

Number of pages left 5 – 1 = 4