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Go Math Grade 3 Answer Key Chapter 5 Use Multiplication Facts
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Lesson 1: Algebra • Describe Patterns
Lesson 2: Algebra • Find Unknown Numbers
Mid-Chapter Checkpoint
Lesson 3: Problem Solving • Use the Distributive Property
Lesson 4: Multiplication Strategies with Multiples of 10
- Multiplication Strategies with Multiples of 10 Page No 285
- Multiplication Strategies with Multiples of 10 Lesson Check Page No 286
Lesson 5: Multiply 1-Digit Numbers by Multiplies of 10
- Multiply 1-Digit Numbers by Multiplies of 10 Page No 291
- Multiply 1-Digit Numbers by Multiplies of 10 Lesson Check Page No 292
Chapter 5 Review/Test
- Review/Test Page No 293
- Review/Test Page No 294
- Review/Test Page No 295
- Review/Test Page No 296
- Review/Test Page No 297
- Review/Test Page No 298
Describe Patterns Page No 265
Describe a pattern for the table. Then complete the table.
Question 1.
Answer: Add 6 muffins for each pan; Multiply the number of pans by 6.
Explanation:
Now we have to multiple no. of pans by 6
4 × 6 = 24; 5 × 6 = 30
Question 2.
| Wagons | 2 | 3 | 4 | 5 | 6 |
| Wheels | 8 | 12 | 16 | _______ | _______ |
Answer:
| Wagons | 2 | 3 | 4 | 5 | 6 |
| Wheels | 8 | 12 | 16 | 20 | 24 |
Explanation:
Add 4 wheels for each Wagons; Multiply the number of Wagons by 4
5 × 4 = 20; 6 × 4 = 24
Question 3.
| Vases | Flowers |
| 2 | 14 |
| 3 | _______ |
| 4 | 28 |
| 5 | _______ |
| 6 | 42 |
Answer:
| Vases | Flowers |
| 2 | 14 |
| 3 | 21 |
| 4 | 28 |
| 5 | 35 |
| 6 | 42 |
Explanation:
Add 7 flowers for each vase; Multiply the number of flowers by 7
3 × 7 = 21; 5 × 7 = 35
Question 4.
| Spiders | Legs |
| 1 | 8 |
| 2 | _______ |
| 3 | 24 |
| 4 | _______ |
| 5 | 40 |
Answer:
| Spiders | Legs |
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
| 5 | 40 |
Explanation:
Add 8 legs for each spider and then multiply the number of spiders by 8
i.e., 8 × 2 = 16; 8 × 4 = 32
Problem Solving
Question 5.
Caleb buys 5 cartons of yogurt. Each carton has 8 yogurt cups. How many yogurt cups does Caleb buy?
_________ yogurt cups
Answer: 40 cups
Explanation:
Given,
Caleb buys 5 cartons of yogurt
Each carton has 8 yogurt cups
To find how many yogurt cups does Caleb buy ‘x’
x = 8 × 5 = 40
Thus the number of yogurt cups does Caleb buy is 40 cups
Question 6.
Libby bought 4 packages of pencils. Each package has 6 pencils. How many pencils did Libby buy?
_________ pencils
Answer: 24 pencils
Explanation:
Libby bought 4 packages of pencils
Each package has 6 pencils
Number of pencils did Libby buy is x
x × 1= 6 × 4
x = 24
Therefore no. of pencils Libby bought = 24 pencils
Describe Patterns Lesson Check Page No 266
Question 1.
Which of the following describes a pattern in the table?
Options:
a. Multiply by 3.
b. Multiply by 5.
c. Add 1.
d. Add 4.
Answer: Multiply by 5
Explanation:
From the above table, we can see that each chair is added by 5 for each table.
So, multiply the number of tables by 5
The correct answer is option B
Question 2.
Which number completes this table?
Options:
a. 30
b. 20
c. 24
d. 22
Answer: 24
Explanation:
Each butterfly is added by 4
Multiply the number of butterflies by 4
4 × 6 = 24 wings
So, the correct answer is option C
Spiral Review
Question 3.
Jennilee buys 7 packs of crayons. There are 6 crayons in each pack. How many crayons does Jennilee buy in all?
Options:
a. 13
b. 36
c. 42
d. 48
Answer: 42
Explanation:
Given that, Jennilee buys 7 packs of crayons
There are 6 crayons in each pack
1 pack = 6 crayons
7 packs = x
x × 1 = 6 × 7
x = 42
Question 4.
Maverick has 5 books of circus tickets. Each book has 5 tickets. How many tickets does Maverick have in all?
Options:
a. 10
b. 15
c. 20
d. 25
Answer: 25
Explanation:
Maverick has 5 books on circus tickets
Each book has 5 tickets
1 book =5 tickets
5 books = x tickets
x × 1 = 5 × 5
x = 25
Thus the correct answer is option D
Question 5.
Bailey walked his dog 2 times each day for 9 days. How many times did Bailey walk his dog in all?
Options:
a. 9
b. 11
c. 18
d. 27
Answer: 18
Explanation:
Given, Bailey walked his dog 2 times each day for 9 days
Number of times did Bailey walk his dog in all = x
x = 9 × 2
x = 18
Thus the correct answer is option C
Question 6.
Drew’s Tree Company delivers pear trees in groups of 4. Yesterday, the company delivered 8 groups of pear trees. How many pear trees were delivered in all?
Options:
a. 12
b. 16
c. 24
d. 32
Answer: 32
Explanation:
Given,
Drew’s Tree Company delivers pear trees in groups of 4
Yesterday, the company delivered 8 groups of pear trees
How many pear trees were delivered in all = x
x = 4 × 8
x = 32
Thus the correct answer is option D
Find Unknown Numbers Page No 271
Find the unknown factor.
Question 1.
n × 3 = 12
Think: How many groups of 3 equal 12?
n = 4
Answer: 4
Explanation:
n × 3 = 12
n = 12/4
n = 3
Question 2.
s × 8 = 64
s = ________
Answer: 8
Explanation:
How many groups of 8 equals 64?
s × 8 = 64
s = 64/8
s = 8
Question 3.
21 = 7 × n
n = ________
Answer: 3
Explanation:
Number of groups 7 equals 21
21 = 7 × n
n = 21/7
n = 3
Question 4.
y × 2 = 18
y = ________
Answer: 9
Explanation:
y × 2 = 18
y = 18/2
y = 9
Question 5.
5 × p = 10
p = ________
Answer: 2
Explanation:
p is the unknown factor
5p = 10
p = 10/5
p = 2
Question 6.
56 = 8 × t
t = ________
Answer: 7
Explanation:
8 × t = 56
8t = 56
t = 56/8
t = 7
Therefore, the answer is 7
Question 7.
m × 4 = 28
m = ________
Answer: 7
Explanation:
Here m is the unknown product
4 × m = 28
4m = 28
m = 28/4
m = 7
Question 8.
★ × 1 = 9
★ = ________
Answer: 9
Explanation:
Here the symbol ★ is the unknown product
★ = 9/1
★ = 9
Question 9.
18 = 6 × r
r = ________
Answer: 3
Explanation:
r is the unknown product
6 × r = 18
r = 18/6
r = 3
Question 10.
u × 5 = 30
u = ________
Answer: 6
Explanation:
u is the unknown product
u × 5 = 30
5u = 30
u = 30/5
u = 6
Question 11.
4 × ■ = 24
■ = ________
Answer: 6
Explanation:
■ is the unknown product
4 × ■ = 24
■ = 24/4
■ = 6
Therefore the answer is 6
Question 12.
w × 7 = 35
w = ________
Answer: 5
Explanation:
The letter w is the unknown product
w × 7 = 35
w = 35/7
w = 5
Question 13.
b × 6 = 54
b = ________
Answer: 9
Explanation:
b × 6 = 54
b = 54/6
b = 9
Thus the unknown product is 9
Question 14.
5 × ▲ = 40
▲ = ________
Answer: 8
Explanation:
Here the symbol ▲ is the unknown product
▲ × 5 = 40
▲ = 40/5
▲ = 8
Question 15.
30 = d × 3
d = ________
Answer: 10
Explanation:
d is the unknown product
30 = d × 3
30/3 = d
d = 30/3
d = 10
Therefore the answer is 10
Question 16.
7 × k = 42
k = ________
Answer: 6
Explanation:
k is the unknown product
7 × k = 42
k = 42/7
k = 6
Problem Solving
Question 17.
Carmen spent $42 for 6 hats. How much did each hat cost?
$ ________
Answer: 7
Explanation:
Given that
Carmen spent $42 for 6 hats
The cost spent on each hat = x
x × 6 = 42
x = 42/6
x = 7
Thus Carmen spent $7 for each hat
Question 18.
Mark has a baking tray with 24 cupcakes. The cupcakes are arranged in 4 equal rows. How many cupcakes are in each row?
________ cupcakes
Answer: 6 cupcakes
Explanation:
Mark has a baking tray with 24 cupcakes
The cupcakes are arranged in 4 equal rows
No. of cupcakes in each row = x
x × 4 = 24
x = 24/4
x = 6
Therefore the number of cupcakes in each row = 6
Find Unknown Numbers Lesson Check Page No 272
Question 1.
What is the unknown factor?
b × 7 = 56
Options:
a. 6
b. 7
c. 8
d. 9
Answer: 8
Explanation:
b × 7 = 56
b = 56/7
Now we have to check how many groups of 7 equals 56
7 × 8 = 56
b = 8
Thus the answer is option C
Question 2.
What is the unknown factor shown by this array?
3 × ■ = 24
Options:
a. 3
b. 6
c. 8
d. 9
Answer: 8
Explanation:
The unknown product is ■
Here we have to find the product of 3 × ■ which equals 24
3 × ■ = 24
■ = 24/3
■ = 8
Therefore the unknown factor shown by this array is 8
Spiral Review
Question 3.
Which is an example of the Commutative Property of Multiplication?
Options:
a. 6 + 4 = 4 + 6
b. 4 × 6 = 6 × 4
c. 4 × 3 = 4 + 8
d. 3 × 6 = 9 × 2
Answer: 4 × 6 = 6 × 4
Explanation:
According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product.
a × b = b × a
So, the answer is 4 × 6 = 6 × 4
Question 4.
Find the product.
5 × (4 × 2)
Options:
a. 13
b. 22
c. 40
d. 80
Answer: 40
Explanation:
This is in the form of a × (b × c)
First, multiply 4 and 2
5 × (4 × 2) = 5 × 8
5 × 8 = 40
Therefore the correct answer is option D
Question 5.
Which number sentence is an example of the Distributive Property?
Options:
a. 4 × 7 = (4 × 3) + (4 × 4)
b. 4 × 7 = 7 × 4
c. 4 × 7 = 28
d. 7 × 4 = 15 + 13
Answer: 4 × 7 = (4 × 3) + (4 × 4)
Example:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The example of Distributive Property is 4 × 7 = (4 × 3) + (4 × 4)
Question 6.
In a group of 10 boys, each boy had 2 hats. How many hats did they have in all?
Options:
a. 5
b. 12
c. 20
d. 40
Answer: 20
Explanation:
Given that,
Each boy has 2 hats
Group of 10 boys has x hats
x × 1 = 2 × 10
x = 20
Mid-Chapter Checkpoint Page No 273
Vocabulary
Choose the best term from the box.
Question 1.
An __________ is a number sentence that uses the equal sign to show that two amounts are equal.
__________
Answer: Equation
Explanation:
The definition of the Equation is the number sentence that uses an equal sign to show that two amounts are equal.
Concepts and Skills
Describe a pattern in the table. Then complete the table.
Question 2.
Type below:
__________
Answer:
| Weeks | 1 | 2 | 3 | 4 | 5 |
| Days | 7 | 14 | 21 | 28 | 35 |
Explanation:
First of all look for the pattern to complete the table.
As you look across the rows you can find the days are increased by 7 for each week.
Now use the pattern to find the number of days in 4 and 5 weeks.
7 × 4 = 28; 7 × 5 = 35
Question 3.
Type below:
__________
Answer:
| Tickets | 2 | 3 | 4 | 5 | 6 |
| Cost | $8 | $12 | $16 | $20 | $24 |
Explanation:
Look for the pattern to complete the table.
As you look across the rows you can find the cost increased by $4 for each ticket.
Now use the pattern to find the cost for 5 and 6 tickets
4 × 5 = 20; 4 × 6 = 24
Question 4.
Type below:
__________
Answer:
| Project Teams | Members |
| 3 | 9 |
| 4 | 12 |
| 5 | 15 |
| 6 | 18 |
| 7 | 21 |
Explanation:
Look for the pattern by comparing the columns in the table. You can multiply number of project teams by 3 to find the members.
3 × 5 = 15; 3 × 7 = 21
Question 5.
Type below:
__________
Answer:
| Tables | Chairs |
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
| 5 | 40 |
Explanation:
Look for the pattern by comparing the rows in the table.
Now multiply the number of tables by 8 so that you can find the number of chairs for 3 and 5 tables.
3 × 8 = 24; 5 × 8 = 40
Find the unknown number.
Question 6.
m × 5 = 30
m = _______
Answer: 6
Explanation:
m is the unknown product
m × 5 = 30
m = 30/5
m = 6
Therefore the value of m is 6
Question 7.
■ × 6 = 48
■ = _______
Answer: 8
Explanation:
■ is the symbol of the unknown product
■ × 6 = 48
■ = 48/6
■ = 8
Question 8.
n = 2 × 10
n = _______
Answer: 5
Explanation:
n is the unknown product
We have to product of where 2 and 10 meet
n = 2 × 10
n = 20
Question 9.
4 × 8 = p
p = _______
Answer: 32
Explanation:
p is the unknown product
p = 8 × 4
p = 32
So, the answer is 32
Question 10.
25 = y × 5
y = _______
Answer: 5
Explanation:
y is the unknown product
y × 5 = 25
y = 25/5
y = 5
Question 11.
★ × 10 = 10
★ = _______
Answer: 1
Explanation:
★ is the symbol of the unknown product
★ × 10 = 10
★ = 10/10
★ = 1
Mid-Chapter Checkpoint Lesson Check Page No 274
Question 12.
Describe a pattern in the table.
Type below:
__________
Answer: Multiply by 6
Explanation:
As you look across the rows, you can see that the number of stickers increases by 6 for each package.
Question 13.
What number makes the equation true?
a × 8 = 72
a = _______
Answer: 9
Explanation:
a is the unknown product
Here we have to find the number that makes the equation true
a × 8 = 72
a = 72/8
a = 9
Question 14.
Mia bought 2 copies of the same book. She spent $18. What was the cost of one book?
$ _______
Answer: $9
Explanation:
Given that, Mia bought 2 copies of the same book.
Mia spent $18 for 2 books
Cost of one book = x
x × 2 = $18
x = 18/2
x = 9
Therefore the cost of one book = $9
Question 15.
Kyle saves $10 every week for 6 weeks. How much money will Kyle have in Week 6?
a. 60
Answer:
| Weeks | 1 | 2 | 3 | 4 | 5 | 6 |
| Amount | $10 | $20 | $30 | $40 | $50 | $60 |
Explanation:
Look for the pattern to complete the table.
As you look across the rows you can find the amount increased for each week.
You can multiply 10 by week 4, 5 and 6
i.e., 10 × 4 = 40; 10 × 5 = 50; 10 × 6 = 60
Question 16.
Tennis balls cost $7 for a can of 3. Steve gives the cashier $40 to buy balls and receives $12 in change. How many tennis balls did Steve buy?
_______ tennis balls
Answer: 12 tennis balls
Explanation:
Steve spent $40 – $12 = $28
Let y represent the number of cans.
Tennis balls cost $7 for a can of 3
7 × y = 28
y = 28/7
y = 4 cans
So, Steve buys 4 cans of 3 tennis balls
Then, we need to multiply the no. of cans, 4, by the number of tennis balls in each can, 3
4 × 3 = 12 tennis balls
Use the Distributive Property Page No 279
Read each problem and solve.
Question 1.
Each time a student turns in a perfect spelling test, Ms. Ricks puts an achievement square on the bulletin board. There are 6 rows of squares on the bulletin board. Each row has 30 squares. How many perfect spelling tests have been turned in?
Think: 6 × 30 = 6 × (10 + 10 + 10)
= 60 + 60 + 60 = 180
180 spelling tests
Answer: 180 spelling test
Explanation:
There are 6 rows of squares on the bulletin board
Each row has 30 squares
We can use the distributive property to find the number of perfect spelling tests have been turned in
6 × 30 = 6 × (10+10+10)
6 × 10 + 6 × 10 + 6 × 10
60 + 60 + 60 = 180 spelling test
Question 2.
Norma practices violin for 50 minutes every day. How many minutes does Norma practice violin in 7 days?
_______ minutes
Answer: 350 minutes
Explanation:
Given,
Norma practices violin for 50 minutes every day
To find:
How many minutes does Norma practice violin in 7 days?
We can solve this problem by using the distributive property
7 × 50 = 7 × (20 + 30) = (7 × 20) + (7 × 30)
= 350 minutes
Question 3.
A kitchen designer is creating a new backsplash for the wall behind a kitchen sink. The backsplash will have 5 rows of tiles. Each row will have 20 tiles. How many tiles are needed for the entire backsplash?
_______ tiles
Answer: 100 tiles
Explanation:
Given: The backsplash will have 5 rows of tiles
Each row will have 20 tiles
By using a distributive property we can know the no. of tiles are needed for the entire backsplash
5 × 20 = 5 × (10 + 10)
(5× 10) + (5× 10) = 50 +50
= 100 tiles
Therefore 100 tiles are needed for the entire backsplash
Question 4.
A bowling alley keeps shoes in rows of cubbyholes. There are 9 rows of cubbyholes, with 20 cubbyholes in each row. If there is a pair of shoes in every cubbyhole, how many pairs of shoes are there?
_______ pairs of shoes
Answer: 180 pairs of shoes
Explanation:
There are 9 rows of cubbyholes, with 20 cubbyholes in each row
To find the number of pairs of shoes in every cubbyhole
9 × 20 = 9 × (10 + 10)
9 × 10 + 9 × 10
90 + 90 = 180 pairs of shoes
Question 5.
The third-grade students are traveling to the science museum in 8 buses. There are 40 students on each bus. How many students are going to the museum?
_______ students
Answer: 320 students
Explanation:
Given that, The third-grade students are traveling to the science museum in 8 buses
There are 40 students on each bus
We can know the number of students going to the museum by using the distributive property
8 × 40 = 8 × (20 + 20) = 8 × 20 + 8 × 20
160 + 160 = 320 students
Therefore the number of students going to the museum is 320
Use the Distributive Property Lesson Check Page No 280
Question 1.
Each snack pack holds 20 crackers. How many crackers in all are there in 4 snack packs?
Options:
a. 60
b. 80
c. 100
d. 800
Answer: 80
Explanation:
Given:
Each snack pack holds 20 crackers
To find:
How many crackers in all are there in 4 snack packs
By using the Distributive property we can find the crackers in 4 snack packs
4 × 20 = 4 × (10 + 10)
4 × 10 + 4 × 10 = 40 + 40 = 80
Thus the correct answer is option B
Question 2.
A machine makes 70 springs each hour. How many springs will the machine make in 8 hours?
Options:
a. 500
b. 520
c. 540
d. 560
Answer: 560
Explanation:
Given,
A machine makes 70 springs each hour
To find:
How many springs will the machine make in 8 hours
8 × 70 = 8 × (35 + 35)
= (8 × 35) + (8 × 35)
= 280 + 280
= 560
Thus option D is the correct answer
Spiral Review
Question 3.
Lila read 142 pages on Friday and 168 pages on Saturday. Which is the best estimate of how many pages Lila read on Friday and Saturday combined?
Options:
a. 100
b. 200
c. 300
d. 400
Answer: 300
Explanation:
Lila read 142 pages on Friday and 168 pages on Saturday
We can estimate the number of pages Lila read on Friday and Saturday combined by using the Distributive property
142 + 168 = (2 × 71) + (2 × 84) = 300
So, the correct answer is option C
Question 4.
Jessica wrote 6 + 6 + 6 + 6 on the board. Which is another way to show 6 + 6 + 6 + 6?
Options:
a. 4 × 4
b. 4 × 6
c. 4 × 4 × 6
d. 6 × 6
Answer: 4 × 6
Explanation:
Jessica wrote 6 + 6 + 6 + 6 on the board
The another way to write 6 + 6 + 6 + 6 is 4 × 6
Because here 6 is added 4 times. So the multiplication form of 6 + 6 + 6 + 6 is 4 × 6
So, the correct answer is option B
Use the line plot for 5–6.
Question 5.
Eliot made a line plot to record the number of birds he saw at his bird feeder. How many more sparrows than blue jays did he see?
Options:
a. 2
b. 3
c. 4
d. 5
Answer: 4
Explanation:
Number of sparrows = 5
Number of Blue Jays = 1
To know how many more sparrows than blue jays we have to subtract number of blue jay from number of sparrows
= 5 – 1 = 4
So, the correct answer is option C
Question 6.
How many robins and cardinals combined did Eliot see?
Options:
a. 2
b. 3
c. 4
d. 5
Answer: 5
Explanation:
Number of robins = 3
Number of Cardinals = 2
Total Number of robins and cardinals = 3 + 2 = 5
So, the answer is option D
Multiplication Strategies with Multiples of 10 Page No 285
Use a number line to find the product.
Question 1.
2 × 40 = 80
Answer: 80
Explanation:
The number line given above shows that there are 2 groups of 4 tens
So, 2 × 4 tens
2 × 40 = 80
Question 2.
4 × 30 = _______
Answer: 120
Explanation:
There are 4 groups of 3 tens
So, the number jumps from 0 to 30, 30 to 60, 60 to 90, and from 90 to 120.
4 × 3 tens = 4 × 30 = 120
Use place value to find the product.
Question 3.
5 × 70 = 5 × _______ tens
= _______ tens = _______
Answer:
i. 7 tens
ii. 35 tens
iii. 350
Explanation:
70 = 7 × 10 = 7 tens
5 × 70 = 35 × 10 = 35 tens = 350
Question 4.
60 × 4 = _______ tens × 4
= _______ tens = _______
Answer:
i. 6 tens
ii. 24 tens
iii. 240
Explanation:
Here 60 is multiplied with 4
60 = 6 × 10 = 6 tens
60 × 4 = 6 tens × 4
24 tens = 24 × 10 = 240
Question 5.
7 × 30 = 7 × _______ tens
= _______ tens = _______
Answer:
i. 3 tens
ii. 21 tens
iii. 210
Explanation:
30 = 3 × 10 = 3 × 1 ten = 3 tens
7 × 30 = 7 × 3 tens
= 21 tens
= 21 × 10 = 210
Question 6.
90 × 3 = _______ tens × 3
= tens = _______
Answer:
i. 9 tens
ii. 27 tens
iii. 270
Explanation:
90 = 9 × 1 ten = 9 × 10 = 9 tens
9 tens × 3 = 27 tens
27 tens = 27 × 1 ten
= 27 × 10 = 270
Problem Solving
Question 7.
One exhibit at the aquarium has 5 fish tanks. Each fish tank holds 50 gallons of water. How much water do the 5 tanks hold in all?
_______ gallons of water
Answer: 250 gallons of water
Explanation:
Given: One exhibit at the aquarium has 5 fish tanks
Each fish tank holds 50 gallons of water
5 × 50 = 5 × 5 tens
= 25 tens = 25 × 1 ten
25 × 10 = 250 gallons of water
Question 8.
In another aquarium display, there are 40 fish in each of 7 large tanks. How many fish are in the display in all?
_______ fish
Answer: 280 fish
Explanation:
There are 40 fish in each of 7 large tanks
To know the number of fishe are in the display in all
40 × 7 = 4 × 1 ten = 4 tens
4 tens × 7 = 28 tens
28 × 10 = 280 fishes
Multiplication Strategies with Multiples of 10 Lesson Check Page No 286
Question 1.
Each bag of pattern blocks contains 50 blocks. To make a class pattern, the teacher combines 4 bags of blocks. How many pattern blocks are there in all?
Options:
a. 20
b. 200
c. 240
d. 250
Answer: 200
Explanation:
Given,
Each bag of pattern blocks contains 50 blocks
To make a class pattern, the teacher combines 4 bags of blocks
Here we make use of multiplication strategies to know the number of pattern blocks
50 × 4 = 5 tens × 4
= 20 tens = 20 × 10 = 200
Therefore the correct answer is option B
Question 2.
A deli received 8 blocks of cheese. Each block of cheese weighs 60 ounces. What is the total weight of the cheeses?
Options:
a. 420 ounces
b. 460 ounces
c. 480 ounces
d. 560 ounces
Answer: 480 ounces
Explanation:
A deli received 8 blocks of cheese
Each block of cheese weighs 60 ounces
60 × 8 = 6 tens × 8
48 tens = 48 × 10 = 480 ounces
So, the correct answer is option C
Spiral Review
Question 3.
Alan and Betty collected cans for recycling. Alan collected 154 cans. Betty collected 215 cans. How many cans did they collect in all?
Options:
a. 369
b. 379
c. 469
d. 479
Answer: 369
Explanation:
Given, Alan and Betty collected cans for recycling
Alan collected 154 cans
Betty collected 215 cans
To know total cans they collected in all, we have to add both the cans of Alan and Betty
154 + 215 = 369 cans
Therefore the correct answer is option A
Question 4.
The third graders collected 754 cans. The fourth graders collected 592 cans. Which is the best estimate of how many more cans the third graders collected?
Options:
a. 50
b. 100
c. 200
d. 300
Answer: 200
Explanation:
Given,
The third graders collected 754 cans
The fourth graders collected 592 cans
To find the best estimate of how many more cans the third graders collected
We have to subtract fourth graders cans from third graders can
Here they are asking the estimated number if cans the third graders collected
754 rounded to the nearest hundred is 800 and
592 rounded to the nearest hundred is 600
800 – 600 = 200
Therefore the correct answer is 200
Use the bar graph for 5–6.
Question 5.
How many more books did Ed read than Bob?
Options:
a. 2
b. 3
c. 4
d. 5
Answer: 3
Explanation:
The bar graph shows that Ed read 8 books in June
Bob read 5 books in June
To know the number of books Ed read than Bob
We have to subtract the no. of books Bob read from Ed
= 8 – 5 = 3 books
So, the correct answer is option B
Question 6.
How many books in all did the four students read in June?
Options:
a. 22
b. 24
c. 26
d. 36
Answer: 26
Explanation:
Bob read 5 books in June
Ed read 8 books in June
Eve read 7 books in June
Ann read 6 books in June
Total = 5 + 8 + 7 + 6 = 26 books
So, the answer is option C
Multiply 1-Digit Numbers by Multiplies of 10 Page No 291
Find the product. Use base-ten blocks or draw a quick picture.
Question 1.
4 × 50 = 200
Answer: 200
Explanation:
First, multiply the ones
4 × o ones = 0
Next, multiply the tens
4 × 5 tens = 200
Question 2.
60 × 3 = _______
Answer: 180
Explanation:
Mutliply the ones
3 × o ones = 0
Now multiply the tens
3 × 6 tens = 18 tens = 180
Question 3.
_______ = 60 × 5
Answer: 300
Explanation:
Multiply the ones
5 × 0 ones = 0
Multiply the tens
5 × 6 tens = 30 tens
= 300
Find the product.
Question 4.
3 0
× 8
—–
_______
Answer: 240
Explanation:
Multiply the ones
8 × 0 ones = 0
Multiply the tens
8 × 3 tens = 24 tens = 240
Question 5.
5 0
× 2
—–
_______
Answer: 100
Explanation:
Multiply the ones
2 × 0 ones = 0
Multiply the tens
2 × 5 tens = 10 tens = 100
Question 6.
6 0
× 7
—–
_______
Answer: 420
Explanation:
Multiply the ones
7 × 0 ones = 0
Multiply the tens
7 × 6 tens = 42 tens = 420
Question 7.
70
× 4
—–
_______
Answer: 280
Explanation:
Multiply the ones
4× 0 ones = 0
Multiply the tens
4 × 7 tens = 28 tens = 280
Question 8.
6 × 90 = _______
Answer: 540
Explanation:
Multiply the ones
6 × 0 ones = 0
Multiply the tens
6 × 9 tens = 54 tens = 540
Question 9.
9 × 70 = _______
Answer: 630
Explanation:
Multiply the ones
9 × 0 ones = 0
Multiply the tens
9 × 7 tens = 63 tens = 630
Question 10.
8 × 90 = _______
Answer: 720
Explanation:
Multiply the ones
8 × 0 ones = 0
Multiply the tens
8 × 9 tens = 72 tens = 720
Question 11.
_______ = 6 × 80
Answer: 480
Explanation:
Multiply the ones
6 × 0 ones = 0
Multiply the tens
6 × 8 tens = 48 tens = 480
Problem Solving
Question 12.
Each model car in a set costs $4. There are 30 different model cars in the set. How much would it cost to buy all the model cars in the set?
$ _______
Answer: $120
Explanation:
There are 30 different model cars in the set
Each model car in a set costs $4
To find the cost to buy all the model cars in the set
30 × $4 = $120
Question 13.
Amanda exercises for 50 minutes each day. How many minutes will she exercise in 7 days?
minutes _______
Answer: 350 minutes
Explanation:
Given,
Amanda exercises for 50 minutes each day
We have to find how many minutes will she exercise in 7 days
50 × 7 = 350 minutes
Multiply 1-Digit Numbers by Multiplies of 10 Lesson Check Page No 292
Question 1.
Each shelf in one section of the library holds 30 books. There are 9 shelves in that section. How many books will these shelves hold?
Options:
a. 220
b. 260
c. 270
d. 280
Answer: 270
Explanation:
Given,
Each shelf in one section of the library holds 30 books
There are 9 shelves in that section
30 × 9 = 3 tens × 9
= 27 tens = 270
Therefore the correct answer is option C
Question 2.
One can of juice mix makes 60 ounces of juice. How many ounces of juice can be made from 6 cans of juice mix?
Options:
a. 300 ounces
b. 360 ounces
c. 390 ounces
d. 600 ounces
Answer: 360 ounces
Explanation:
Given,
One can of juice mix makes 60 ounces of juice
Number of ounces of juice can be made from 6 cans of juice mix
60 ounces × 6 = 6 tens × 6
= 36 tens = 360 ounces
Thus the answer is option B
Spiral Review
Question 3.
Sue bought 7 cans of tennis balls. There are 3 balls in each can. How many balls did Sue buy?
Options:
a. 10
b. 21
c. 28
d. 37
Answer: 21
Explanation:
Sue bought 7 cans of tennis balls
There are 3 balls in each can
To know the number of balls Sue buy
We have multiply number of cans and number of balls
= 7 × 3 = 21 balls
Question 4.
Which is an example of the Commutative Property of Multiplication?
Options:
a. 3 + 4 = 4 + 3
b. 5 × 0 = 0
c. 1 × 7 = 7
d. 3 × 4 = 4 × 3
Answer: 3 × 4 = 4 × 3
Explanation:
According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product.
a × b = b × a
3 × 4 = 4 × 3
Option D is the correct example of the Commutative property
Question 5.
Lyn drew this bar model to solve a problem. Which operation should she use to find the unknown number?
Options:
a. addition
b. division
c. multiplication
d. subtraction
Answer: addition
Explanation:
In order to know the unknown number we have to add both the number of flowers
90 + 54 = 144
Question 6.
Joe drew this bar model to find the unknown number of balls. Which is the correct answer?
Options:
a. 356
b. 256
c. 144
d. 124
Answer: 144
Explanation:
Given that
Joe drew this bar model to find the unknown number of balls
106 balls + ___ = 250 balls
let the unknown number be x
106 + x = 250
x = 250 – 106
x = 144 balls
Review/Test Page No 293
Question 1.
The camping club wants to rent rafts. Each raft can hold 8 people. Which equation could be used to find how many rafts are needed for 32 people?
Options:
a. 8 × 32 = ■
b. 32 × ■ = 8
c. ■ × 8 = 32
d. 32 × 8 = ■
Answer: ■ × 8 = 32
Explanation:
Each raft can hold 8 people
■ represents raft that can hold 32 people
Now we have to multiple number of people with rafts for 32 people
■ × 8 = 32
■ = 32/8
■ = 4
Therefore 4 rafts are needed for 32 people
Question 2.
Select the equations that show the Distributive Property. Mark all that apply.
Options:
a. 8 × 20 = 8 × (10 + 10)
b. 5 × 60 = 5 × (20 + 40)
c. 30 × 6 = 6 × 30
d. 9 × (4 + 3) = 9 × 7
Answer: a, b, d
Explanation:
The sum of two numbers times a third number is equal to the sum of each addend times the third number.
The above 3 options satisfy the law of Distributive Property
Question 3.
Choose the number from the box that makes the sentence true.
A library has 48 shelves of fiction books. There are 6 shelves in each cabinet.
There are 
cabinets of fiction books in the library.
_________
Answer: 8
Explanation:
Let x represents cabinets of fiction in the library
x × 6 = 48
x = 48/6
x = 8
Therefore the answer is 8
Review/Test Page No 294
Question 4.
For numbers 4a–4d, choose True or False for each equation.
a. 5 × (4 + 4) = 8 × 5
i. True
ii. False
Answer: True
Explanation:
The above question satisfies the distributive property
5 × (4 + 4) = 5 × 8 = 40
8 × 5 = 40
Therefore LHS = RHS
So, the equation is true
Question 4.
b. 8 × (3 + 3) = 8 × 5
i. True
ii. False
Answer: False
Explanation:
8 × (3 + 3) = 8 × 6 = 48
8 × 5 = 40
So, the equation is false
Question 4.
c. (3 × 5) + (5 × 5) = 8 × 5
i. True
ii. False
Answer: True
Explanation:
(3 × 5) + (5 × 5) = 8 × 5
The above question satisfies the distributive property
8 × 5 = 40
(3 × 5) + (5 × 5) = 15 + 25 = 40
Both LHS and RHS are equal
So, the answer is true
Question 4.
d. (3 × 2) + (8 × 3) = 8 × 5
i. True
ii. False
Answer: False
Explanation:
(3 × 2) + (8 × 3)
3 × 2 = 6; 8 × 3 = 24
= (3 × 2) + (8 × 3) = 6 + 24
But it is given as 8 × 5
So, the answer is false
Question 5.
Alya planted 30 trays of flowers. Each tray held 8 flowers. Javon planted 230 flowers. Did Alya plant more flowers than Javon, the same number of flowers as Javon, or fewer flowers than Javon?
Options:
a. She planted more flowers than Javon.
b. She planted the exact same number of flowers as Javon.
c. She planted fewer flowers than Javon. 6.
Answer: She planted more flowers than Javon.
Explanation:
Given that, Alya planted 30 trays of flowers and each tray held 8 flowers
30 × 8 = 240 flowers
So, Alya planted 240 flowers
Javon planted 230 flowers
To know whether Alya plant more flowers than Javon, the same number of flowers as Javon, or fewer flowers than Javon
We have to subtract Number of flowers planted by Javon from Alya
240 – 230 = 10
So, Alya planted more flowers than Javon
Question 6.
For numbers, 6a–6d, choose Yes or No to show whether the unknown number is 6.
a. 4 × ■ = 32
i. Yes
ii. No
Answer: No
Explanation:
■ = 6
Now we have to substitute ■ = 6 in the above question
4 × 6 = 24
So, the answer is No
b. ■ × 6 = 36
i. Yes
ii. No
Answer: Yes
Explanation:
■ = 6
6 × 6 = 36
It satisfies the above equation
So, the answer is Yes
c. 8 × ■ = 49
i. Yes
ii. No
Answer: No
Explanation:
■ = 6
8 × 6 = 48 but not 49
So, the answer is No
d. ■ × 30 = 180
i. Yes
ii. No
Answer:
Explanation:
■ = 6
6 × 30 = 180
It satisfies the above equation
So, the answer is yes
Question 7.
Each train can carry 20 cars. Use the number line to find how many cars 6 trains can carry.
Answer: 120 cars
Explanation:
Each train can carry 20 cars
6 trains can carry x cars
x × 1 = 20 × 6
x = 120 cars
Review/Test Page No 295
Question 8.
Samantha made this multiplication model. Complete the equation that represents the model.
_____ × _____ = _____
Type below:
__________
Answer: 90
Explanation:
Each vertical bar represents a ten. Each group of 3 vertical bars represents 30
We have 3 groups of 30, therefore the equation that represents the model is
3 × 30 = 90 models
Question 9.
A printer prints newsletters for many groups every month. Which group uses the greatest number of pieces of paper?
__________
Answer: Book Lovers Club
Explanation:
From the above table, we can say that Book Lovers Club group uses the greatest number of pieces of paper
Question 10.
A store has 30 boxes of melons. Each box holds 4 bags. Each bag holds 2 melons. What is the total number of melons in the store?
__________ melons
Answer: 240 melons
Explanation:
Given,
A store has 30 boxes of melons
Each box holds 4 bags
Each bag holds 2 melons
1 box holds 4 bags
30 × 4 = 120 bags
1 bag = 2 melons
120 bags = x
x = 120 × 2
x = 240 melons
Therefore total number of melons in the store = 240 melons
Question 11.
Heather’s puppy weighs 23 pounds. He has been gaining 3 pounds every month as he grows. If this pattern continues, how much will the puppy weigh 5 months
from now?
__________ pounds
Answer: 38 pounds
Explanation:
Heather’s puppy weighs 23 pounds
He has been gaining 3 pounds every month as he grows
To find the weigh of the puppy after 5 months
If puppy weights 3 pounds in 1 month
For 5 months it weighs = 3 × 5 = 15 pounds
Actual of Heather’s puppy + puppy weight after 5 months
= 23 + 15 = 38 pounds
Review/Test Page No 296
Question 12.
Tim describes a pattern. He says the pattern shown in the table is “Add 3.” Is Tim correct? Explain how you know.
Type below:
__________
Answer:
No, Tim is not correct
The pattern works for the first pair of numbers 1 + 3 = 4
But it doesn’t work for any of the other pairs. The pattern should be Multiply the number of packages by 4
Question 13.
This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.
Type below:
__________
Answer:
Explanation:
The only numbers that have a product of 35 are 5 and 7. The only numbers that have a product of 40 are 5 and 8.
This tells us that 5 is the number for the row. That means 6 is the next row down, and 7 is the row after that. The factors of 7 and 8 are the columns, so we can multiply to find the missing numbers
Question 14.
Describe a pattern for this table.
Pattern: _____
How would the table change if the pattern was “Multiply the number of tanks by 8”? Explain.
Type below:
__________
Answer: Multiply the number of tanks by 80
The table would change by taking a zero off each number of fish in the second row because you would be multiplying by ones, not tens.
Review/Test Page No 297
Question 15.
Devon has 80 books to pack in boxes. She packs 20 books in each box. How many boxes does she need?
Write an equation using the letter n to stand for the unknown factor. Explain how to find the unknown factor.
Type below:
__________
Answer: n × 20 = 80
We can draw an array of 80 squares with 20 squares in each row.
There are 4 rows, so n = 4. Devon needs 4 boxes.
Question 16.
The bookstore has 6 shelves of books about animals. There are 30 books on each shelf. How many books about animals does the bookstore have?
Shade squares to make a diagram to show how you can use the Distributive Property to find the number of books about animals in the bookstore.
__________ animal books
Answer:
6 × (10 + 10 + 10) = (6 × 10) + (6 × 10) + (6 × 10)
= 60 + 60 + 60
= 180 animal books
Review/Test Page No 298
Question 17.
Cody saves all his nickels. Today he is getting them out of his piggy bank and wrapping them to take to the bank. He finds he has 360 nickels. It takes 40 nickels to fill each paper wrapper and make a roll. How many wrappers does he need?
Part A
Write an equation using n for the unknown number. Find the number of wrappers needed.
______ × ______ = ______
Answer: n × 40 = 360
Explanation:
n represents no. of wrappers need
Each paper wrapper needs 40 nickels
Cody has 360 nickels
n × 40 = 360
Question 17.
Part B
Explain how you solved this problem and how you know your answer is correct.
Type below:
__________
Answer:
Explanation:
Given that Cony has 360 nickels
Each paper wrapper needs 40 nickels
Let n be the number of wrappers needed
That means n × 40 = 360
n = 360/40
n = 9
So, n wrappers are needed to make the rolls
Question 18.
Ruben is collecting cans for the recycling contest at school. He makes two plans to try to collect the most cans.
Plan A: Collect 20 cans each week for 9 weeks.
Plan B: Collect 30 cans each week for 7 weeks.
Part A
Which plan should Ruben choose?
__________
Answer: Plan B
Collect 30 cans each week for 7 weeks.
Question 18.
Part B
Explain how you made your choice.
Type below:
__________
Answer:
Given that Ruben is collecting cans for the recycling contest at school
His plan is to collect more cans
That means he has to collect more number of cans in less number of weeks
So, Plan B is perfect to win the recycling contest at school
We hope the info shared regarding the Go Math Grade 3 Chapter 5 Answer Key has been beneficial to you. Refer to Go Math Grade 3 Answer Key Chapter 5 Use Multiplication Facts Extra Practice. Practice is the only key to success and make the most out of the Answer Key available and achieve success in your assessments or tests.