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 9.4 Answer Key Partial Products.

## Texas Go Math Grade 3 Lesson 9.4 Answer Key Partial Products

**Essential Question**

How can you model and record the products of 2-digit and 1-digit numbers?

Answer:

We can model and record the products of 2-digit and 1-digit numbers by different ways like arranging them vertically and doing multiplication or expanded form.

Explanation:

Way:1:**
**Step I: Arrange the numbers vertically.

Step II: First multiply the digit at the ones place by 2.

2 × 4 = 8 ones.

Step III: Now multiply the digit at the tens place by 2.

2 × 3 = 6 tens.

Way:2. Multiply 20 by 3 by using expanded form

Solution:

20 → 2 tens + 0 ones

×__ 3__ → __ × 3__

6 tens + 0 ones

= 60 + 0

= 60

Therefore, 20 × 3 = 60

**Unlock the Problem**

For a field trip to the science center, there are 4 buses from Maddie’s school with 16 students on each bus. How many students are going on the field trip?

4 × 16 = ___

When you multiply the tens and the ones separately and then add the products, you are finding partial products.

**One Way**

Make an array with base-ten blocks to model the problem.

Step 1

Use 1 ten 6 ones to show 16. Make 4 rows of l6 to show 4 × 16.

Step 2

Combine the tens and the ones to find the product.

**Another Way**

Draw an array on grid paper.

So, ___ students are going on the field trip.

Answer:

Number of buses from Maddie’s school = 4.

Number of students on each bus = 16.

Number of students are going on the field trip = Number of buses from Maddie’s school × Number of students on each bus

= 4 × 16

= (4 × 10) + (4 × 6)

= 40 + 24

= 64.

One Way:

Another way:

**Connect Record Multiplication.**

You can use what you have learned about the Distributive Property to find products of 2-digit and 1-digit numbers.

Shade the model to show each step.

Answer:

Product: 23 × 6 = 138.

Explanation:

23 × 6 = ???

Multiply the tens :

23 × 6 = 120.

Multiply the ones :

23 × 6 = 18.

Product:

23 × 6 = 120 + 18 = 138.

**Math Talk**

**Mathematical Processes**

Why you record the tens first in step 1.

Answer:

We record tens place in step 1 because the place value of it highest.

Explanation:

Tens place first we multiply because its the highest place and covers both ones place also.

**Share and Show
**Question 1.

Model 5 × 18 with base-ten blocks or grid paper. Use paper and pencil to record your multiplication.

Answer:

Explanation:

Number of rows = 5.

Number of columns = 18.

Product = Number of rows × Number of columns

= 5 × 18

= (5 × 10) + (5 × 8)

= 50 + 40

= 90.

**Find the product.**

Question 2.

Answer:

Explanation:

Multiply the number of rows:

3 × 10 = 30.

3 × 4 = 12

Add the rows and multiply:

3 × (10 + 4) = 30 + 12

3 × 14 = 42.

Question 3.

Answer:

Explanation:

Multiply the number of rows:

2 × 10 = 20.

2 × 8 = 16

Add the rows and multiply:

2 × (20 + 8) = 20 + 16

2 × 18 = 36.

**Find the product. Use base-ten blocks or draw an array to help.**

Question 4.

14 × 4

Answer:

Product: 14 × 4 = 56.

Explanation:

Number of rows = 4.

Number of columns = 14.

Product = Number of rows × Number of columns

= 4 × 14

= (4 × 10) + (4 × 4)

= 40 + 16

= 56.

Question 5.

17 × 3

Answer:

Product: 17 × 3 = 51.

Explanation:

Number of rows = 3.

Number of columns = 17.

Product = Number of rows × Number of columns

= 3 × 17

= (3× 10) + (3 × 7)

= 30 + 21

= 51.

Question 6.

52 × 6

Answer:

Product: 52 × 6 = 312.

Explanation:

Number of rows = 6.

Number of columns = 52.

Product = Number of rows × Number of columns

= 6 × 52

= (6 × 10) + (6 × 10) + (6 × 10) + (6 × 10) + (6 × 10) + (6 × 2)

= 60 + 60 + 60 + 60 + 60 + 12

= 120 + 60 + 60 + 60 + 12

= 180 + 60 + 60 + 12

= 240 + 60 + 12

= 300 + 12

= 312.

= 90.

Question 7.

41 × 7

Answer:

Product: 41 × 7 = 287.

Explanation:

Number of rows = 7.

Number of columns = 41.

Product = Number of rows × Number of columns

= 7 × 41

= (7 × 10) + (7 × 10) + (7 × 10) + (7 × 10) + (7 × 1)

= 70 + 70 + 70 + 70 + 7

= 140 + 70 + 70 + 7

= 210 + 70 + 7

= 280 + 7

= 287.

**Problem Solving
**

**Use the table for 8-13.**

Question 8.

**Representations**What is the cost of 3 Purple Lilac trees?

Answer:

Cost of 3 Purple Lilac trees = $87.

Explanation:

Number of Purple Lilac trees = 3.

Cost of each Purple Lilac trees = $29.

Cost of 3 Purple Lilac trees = Number of Purple Lilac trees × Cost of each Purple Lilac trees

= 3 × $29

= (3 × $10) + (3 × $10) + (3 × $9)

= $30 + $30 + $27

= $60 + $27

= $87.

Question 9.

**Multi-Step** What is the cost of 2 Magnolia trees and 1 American Redbud?

Answer:

Cost of 2 Magnolia trees and 1 American Redbud = $137.

Explanation:

Cost of each Magnolia trees = $59.

Number of Magnolia trees = 2.

Cost of 2 Magnolia trees = Cost of each Magnolia trees × Number of Magnolia trees

= $59 × 2

= ($10 × 2) + ($10 × 2) + ($10 × 2) + ($10 × 2) + ($10 × 2) + ($9 × 2)

= $20 + $20 + $20 + $20 + $20 + $18

= $40 + $20 + $20 + $20 + $18

= $60 + $20 + $20 + $18

= $80 + $20 + $18

= $100 + $18

= $118.

Cost of each American Redbud = $19.

Number of American Redbud = 1.

Cost of 1 American Redbud = Cost of each American Redbud × Number of American Redbud

= $19 × 1

= $19.

Cost of 2 Magnolia trees and 1 American Redbud = Cost of 2 Magnolia trees + Cost of 1 American Redbud

= $118 + $19

= $137.

Question 10.

**H.O.T. Multi-Step** What is the difference in cost of 3 Crepe Myrtle trees and 4 Purple Lilacs?

Answer:

$101 is the difference in cost of 3 Crepe Myrtle trees and 4 Purple Lilacs.

Explanation:

Cost of each Purple Lilac trees = $29.

Actual cost of 4 Purple Lilacs = Cost of each Purple Lilac trees × 4

= $29 × 4

= ($10 × 4) + ($10 × 4) + ($9 × 4)

= $40 + $40 + $36

= $80 + $36

= $116.

Discounted for each Purple Lilacs = $25.

Discounted for each Purple Lilacs = $25 × 4

= ($10 × 4) + ($10 × 4) + ($5 × 4)

= $40 + $40 + $20

= $80 + $20

= $100.

Cost of 4 Purple Lilacs = Cost of 4 Purple Lilacs – Discounted for each Purple Lilacs

= $116 – $100

= $16.

Cost of each Crepe Myrtle trees = $39.

Actual cost of 3 Crepe Myrtle trees = Cost of each Crepe Myrtle trees × 3

= $39 × 3

= ($10 × 3) + ($10 × 3) + ($10 × 3) + ($9 × 3)

= $30 + $30 + $30 + $27

= $60 + $30 + $27

= $90 + $27

= $117.

Difference in cost of 3 Crepe Myrtle trees and 4 Purple Lilacs = Actual cost of 3 Crepe Myrtle trees – Cost of 4 Purple Lilacs

= $117 – $16

= $101.

Question 11.

**Pose a Problem** Look back at Problem 10. Write a similar problem by changing the number and type of trees. Then solve the problem.

Answer:

Question: What is the difference in cost of 3 Magnolia trees and 2 American Redbud?

Solution: $139 is the difference in cost of 3 Magnolia trees and 2 American Redbud.

Explanation:

Cost of Magnolia trees = $59.

Cost of 3 Magnolia trees = 3 × $59

= (3 × 10) + (3 × 10) + (3 × 10) + (3 × 10) + (3 × 10) + (3 × 9)

= 30 + 30 + 30 + 30 + 30 + 27

= 60 + 30 + 30 + 30 + 27

= 90 + 30 + 30 + 27

= 120 + 30 + 27

= 150 + 27

= $177.

Cost of American Redbud = $19.

Cost of 2 American Redbud = 2 × $19

= (2 × 10) + (2 × 9)

= 20 + 18

= $38.

Difference:

Cost of 3 Magnolia trees – Cost of 2 American Redbud

= $177 – $38

= $139.

Question 12.

**H.O.T. Multi-Step** How much will you save by buying 6 American Redbuds at the discounted price instead of at the regular price?

Answer:

$24 will be saved by buying 6 American Redbuds at the discounted price instead of at the regular price.

Explanation:

Cost of American Redbuds = $19.

Regular cost of 6 American Redbuds = 6 × $19

= (6 × 10) + (6 × 9)

= 60 + 54

= $114.

Cost of discounted price per tree American Redbuds = $15.

Cost of discounted price per tree 6 American Redbuds = 6 × $15

= (6 × 10) + (6 × 5)

= 60 + 30

= $90.

Cost of 6 American Redbuds after the discounted price = Regular cost of 6 American Redbuds – Cost of discounted price per tree 6 American Redbuds

= $114 – $90

= $24.

Question 13.

**write Math** **What’s the Question?** Mario multiplied by 4 and used the information in the table. The answer is $204.

Answer:

No, answer is not correct because Mario multiplied by 4 and used the information in the table, the answer is $84 not $204.

Explanation:

Cost of Magnolia Grandiflora = $59.

Cost of America Redbud = $19.

Cost of Zuni Crepe Myrtle = $39.

Cost of Purple Lilac = $29.

Actual price of all trees = Cost of Magnolia Grandiflora + Cost of America Redbud + Cost of Zuni Crepe Myrtle + Cost of Purple Lilac

= $59 + $19 + $39 + $29

= $78 + $39 + $29

= $117 +$29

= $146.

Discounted price per each Magnolia Grandiflora tree (4 or more) = $51.

Discounted price per each America Redbud (4 or more) = $15.

Discounted price per each Zuni Crepe Myrtle (4 or more) = $34.

Discounted price per each Purple Lilac (4 or more) = $25.

Total discounted price of all trees (4 or more) = Discounted price per each Magnolia Grandiflora tree (4 or more) + Discounted price per each America Redbud (4 or more) + Discounted price per each Zuni Crepe Myrtle (4 or more) + Discounted price per each Purple Lilac (4 or more)

= $51 + $15 + $34 + $25

= $66 + $34 + $25

= $100 + $25

= $125.

Mario multiplied by 4.

=> Total price of all trees = Actual price of all trees – Total discounted price of all trees (4 or more)

= ($146 – $125) × 4

= $21 × 4

= ($10 × 4) + ($10 × 4) + ($1 × 4)

= $40 + $40 + $4

= $80 + $4

= $84.

**Daily Assessment Task
**

**Fill in the bubble for the correct answer choice.**

Question 14.

There are 26 teams in the spring baseball league. Each team needs 5 parent volunteers. How many volunteers do the teams need?

(A) 31

(B) 30

(C) 100

(D) 130

Answer:

Number of volunteers do the teams needs = 130.

(D) 130.

Explanation:

Number of teams in the spring baseball league = 26.

Number of parent volunteer each team needs = 5.

Number of volunteers do the teams needs = Number of teams in the spring baseball league × Number of parent volunteer each team needs

= 26 × 5

= (10 × 5) + (10 × 5) + (6 × 5)

= 50 + 50 + 30

= 100 + 30

= 130.

Question 15.

**Use Tools** Richmond Elementary School has 5 reading classes. Each class sends 19 students to the school spelling bee. How many students are in the school spelling bee?

(A) 24

(B) 45

(C) 95

(D) 545

Answer:

Number of students are in the school spelling bee = 95.

(C) 95.

Explanation:

Number of reading classes Richmond Elementary School has = 5.

Number of students each class sends to the school spelling bee = 19.

Number of students are in the school spelling bee = Number of reading classes Richmond Elementary School has × Number of students each class sends to the school spelling bee

= 5 × 19

= (5 × 10) + (5 × 9)

= 50 + 45

= 95.

Question 16.

**Multi-Step** Kyle lives 17 miles away from Main City Park, He goes to the park and then back home 3 times each week. How many miles does Kyle travel to and from Main City Park each week?

(A) 102 miles

(B) 17 miles

(C) 34 miles

(D) 912 miles

Answer:

Number of miles Kyle travel to and from Main City Park each week = 102.

(A) 102 miles.

Explanation:

Number of miles away from Main City Park Kyle lives = 17.

Number of times he goes to the park and then back home each week = 3.

Number of miles Kyle travel to and from Main City Park each week = (2 × Number of miles away from Main City Park Kyle lives) × Number of times he goes to the park and then back home each week

= (2 × 17) × 3

=[(10 × 2) + (7 × 2)] × 3

= (20 + 14) × 3

= 34 × 3

= (3 × 10) + (3 × 10) + (3 × 10) + (3 × 4)

= 30 + 30 + 30 + 12

= 60 + 30 + 12

= 90 + 12

= 102.

**Texas Test Prep
**Question 17.

Mr. Perry bought 6 gallons of juice for a class party. Each gallon has 16 cups. ¡f3 cups of juice were left over, how many cups did students drink?

(A) 48 cups

(B) 9 cups

(C) 93 cups

(D) 13 cups

Answer:

Number of cups students drink = 93.

(C) 93 cups.

Explanation:

Number of gallons of juice for a class party Mr. Perry bought = 6.

Number of cups each gallon has = 16.

Number of cups of juice were left over = 3.

Number of cups students drink = (Number of gallons of juice for a class party Mr. Perry bought × Number of cups each gallon has) – Number of cups of juice were left over

=(6 × 16) – 3

= [(6 × 10) + (6 × 6)] – 3

= (60 + 36)- 3

= 96 – 3

= 93.

### Texas Go Math Grade 3 Lesson 9.4 Homework and Practice Answer Key

**Find the product.
**Question 1.

Answer:

Explanation:

Number of rows = 4.

Number of columns = 14.

Product = Number of columns × Number of rows

= 14 × 4

= (10 × 4) + (4 × 4)

= 40 + 16

= 56.

Question 2.

Answer:

Explanation:

Number of columns = 12.

Number of rows = 3.

Product = Number of columns × Number of rows

= 12 × 3

= (10 × 3) + (2 × 3)

= 30 + 6

= 36.

**Find the product. Draw an array to help.**

Question 3.

Answer:

Product = 23 × 6 = 138.

Explanation:

Number of columns = 23.

Number of rows = 6.

Product = Number of columns × Number of rows

= 23 × 6

= (10 × 6) + (10 × 6) + (3 × 6)

= 60 + 60 + 18

= 120 + 18

= 138.

Question 4.

Answer:

Product = 18 × 9 = 162.

Explanation:

Number of columns = 18.

Number of rows = 9.

Product = Number of columns × Number of rows

= 18 × 9

= (10 × 9) + (8 × 9)

= 90 + 72

= 162.

Question 5.

Answer:

Product = 32 × 4 = 128.

Explanation:

Number of columns = 32.

Number of rows = 4.

Product = Number of columns × Number of rows

= 32 × 4

= (10 × 4) + (10 × 4) + (10 × 4) + (2 × 4)

= 40 + 40 + 40 + 8

= 80 + 40 + 8

= 120 + 8

= 128.

Question 6.

Answer:

Product: 75 × 3 = 225.

Explanation:

Number of columns = 75.

Number of rows = 3.

Product = Number of columns × Number of rows

= 75 × 3

= (10 × 3) + (10 × 3) + (10 × 3) + (10 × 3) +(10 × 3) + (10 × 3) +(10 × 3) + (5 × 3)

= 30 + 30 + 30 + 30 + 30 + 30 + 30 + 15

= 60 + 30 + 30 + 30 + 30 + 30 + 15

= 90 + 30 + 30 + 30 + 30 + 15

= 120 + 30 + 30 + 30 + 15

= 150 + 30 + 30 + 15

= 180 + 30 + 15

= 210 + 15

= 225.

**Problem Solving
**

**Use the table for 7-9.**

Question 7.

If a cow eats 43 pounds of feed in one week, how many pounds do 7 cows eat?

Answer:

Number of pounds of feed in one week 7 cows eats = 301.

Explanation:

Number of pounds of feed in one week a cow eats = 43.

Number of cows = 7.

Number of pounds of feed in one week 7 cows eats = Number of pounds of feed in one week a cow eats × Number of cows

= 43 × 7

= (10 × 7) + (10 × 7) + (10 × 7) + (10 × 7) + (3 × 7)

= 70 + 70 + 70 + 70 + 21

= 140 + 70 + 70 + 21

= 210 + 70 + 21

= 280 + 21

= 301.

Question 8.

There are 3 female hogs and 5 male hogs. How many pounds of feed do they eat altogether?

Answer:

Number of pounds of feed they eat altogether = 296.

Explanation:

Number of female hogs = 3.

Number of male hogs = 5.

Number of pounds hogs eat = 37.

Number of pounds of feed they eat altogether = (Number of female hogs + Number of male hogs) Number of pounds hogs eat

= (3 + 5) 37

= 8 × 37

= (8 × 10) + (8 × 10) + (8 × 10) + (8 × 7)

= 80 + 80 + 80 + 56

= 160 + 80 + 56

= 240 + 56

= 296.

Question 9.

How many more pounds of feed do 5 steer eat than 5 cows?

Answer:

40 more pounds of feed 5 steer eat than 5 cows.

Explanation:

Number of steer = 5.

Number of cows = 5.

Number of pounds steer eat = 51.

Number of pounds cows eat = 43.

Total number of pounds 5 steer eat = Number of steer × Number of pounds steer eat

= 5 × 51

= (5 × 10) + (5 × 10) + (5 × 10) + (5 × 10) + (5 × 10) + (5 × 1)

= 50 + 50 + 50 + 50 + 50 + 5

= 100 + 50 + 50 + 50 + 5

= 150 + 50 + 50 + 5

= 200 + 50 + 5

= 250 + 5

= 255.

Total number of pounds 5 cows eat = Number of cows × Number of pounds cows eat

= 5 × 43

= (5 × 10) + (5 × 10) + (5 × 10) + (5 × 10) + (5 × 3)

= 50 + 50 + 50 + 50 + 15

= 100 + 50 + 50 + 15

= 150 + 50 + 15

= 200 + 15

= 215.

Difference:

Total number of pounds 5 steers eat – Total number of pounds 5 cows eat

= 255 – 215

= 40.

**Texas test Prep
**

**Lesson Check**

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

Question 10.

The soccer league has 28 teams. Each team has 9 players. How many players are there in all?

(A) 72

(B) 152

(C) 289

(D) 252

Answer:

Number of players are there in all = 252.

(D) 252.

Explanation:

Number of teams soccer league has = 28.

Number of players each team has = 9.

Number of players are there in all = Number of teams soccer league has × Number of players each team has

= 28 × 9

= (10 × 9) + (10 × 9) + (8 × 9)

= 90 + 90 + 72

= 180 + 72

= 252.

Question 11.

An apple orchard has 8 rows of trees. Each row has 34 trees. How many trees are in the orchard?

(A) 272

(B) 332

(C) 172

(D) 348

Answer:

Number of trees are in the orchard = 272.

(A) 272.

Explanation:

Number of rows of trees an apple orchard has = 8.

Number of trees each row has = 34.

Number of trees are in the orchard = Number of rows of trees an apple orchard has × Number of trees each row has

= 8 × 34

= (8 × 10) + (8 × 10) + (8 × 10) + (8 × 4)

= 80 + 80 + 80 + 32

= 160 + 80 + 32

= 240 + 32

= 272.

Question 12.

On a school trip, there are 4 buses of students. Each bus holds 58 students. How many students go on the school trip?

(A) 458

(B) 132

(C) 532

(D) 232

Answer:

Number of students go on the school trip = 232.

(D) 232.

Explanation:

Number of buses of students on a school trip = 4.

Number of students each bus holds = 58.

Number of students go on the school trip = Number of buses of students on a school trip × Number of students each bus holds

= 4 × 58

= (4 × 10) + (4 × 10) + (4 × 10) + (4 × 10) + (4 × 10) + (4 × 8)

= 40 + 40 + 40 + 40 + 40 + 32

= 80 + 40 + 40 + 40 + 32

= 120 + 40 + 40 + 32

= 160 + 40 + 32

= 200 + 32

= 232.

Question 13.

A train travels 47 miles between two cities. If the train makes 4 trips in one day, how many miles does it travel?

(A) 167 miles

(B) 128 miles

(C) 188 miles

(D) 168 miles

Answer:

Number of miles it travel = 188.

(C) 188 miles.

Explanation:

Number of miles between two cities a train travels = 47.

Number of trips in one day a train makes = 4.

Number of miles it travel = Number of miles between two cities a train travels × Number of trips in one day a train makes

= 47 × 4

= 188.

Question 14.

**Multi-Step** Luz makes an array of 6 rows of 27 cubes. If he has 9 cubes left over, how many cubes did he have to start with?

(A) 171

(B) 243

(C) 162

(D) 153

Answer:

Number of cubes he have to start with = 171.

(A) 171.

Explanation:

Number of rows Luz makes an array = 6.

Number of cubes = 27.

Number of cubes left over = 9.

Number of cubes he have to start with = (Number of rows Luz makes an array × Number of cubes ) + Number of cubes left over

= (6 × 27) + 9

= 162 + 9

= 171.

Question 15.

**Multi-Step** There are 8 trays of sandwiches at a picnic. Each tray holds 22 sandwiches. If 12 sandwiches are left over, how many sandwiches were eaten?

(A) 176

(B) 164

(C) 188

(D) 174

Answer:

Number of sandwiches were eaten = 164.

(B) 164.

Explanation:

Number of trays of sandwiches at a picnic = 8.

Number of sandwiches each tray holds = 22.

Number of sandwiches are left over = 12.

Number of sandwiches were eaten = (Number of trays of sandwiches at a picnic × Number of sandwiches each tray holds) + Number of sandwiches are left over

= (8 × 22) – 12

= 176 – 12

= 164.