All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 8 Check My Progress will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Chapter 8 Check My Progress Answer Key
Check My Progress Page No. 447-448
Vocabulary Check
In Exercises 1-3 choose the correct word(s) to complete each sentence.
Commutative Property known fact related facts
Question 1.
A ____ is a fact you know by memory.
Answer:
A known is a fact you know by memory.
Question 2.
The ____ states that the order in which two numbers are multiplied does not change the product.
Answer:
The commutative property states that the order in which two numbers are multiplied does not change the product.
Question 3.
Facts that use the same three numbers are _____.
Answer:
Facts that use the same three numbers are related facts.
Question 4.
Write two multiplication sentences that are examples of the Commutative Property of Multiplication.
Answer:
The commutative property says that the order in which we multiply the numbers does not change the product.
The examples of the Commutative Property of Multiplication are
3 x 4 = 12.
4 x 3 = 12.
Question 5.
Write a related multiplication fact for 48 ÷ 6 = 8. ____
Answer:
Given that is 48 ÷ 6.
The related multiplication fact for 48 ÷ 6 = 8 is 6 x 8 = 48.
Concept Check
Double a known fact to find each product. Draw an array.
Question 6.
4 × 6 = ___
2 × ___ = ___
___ × 6 = ____
____ + ___ = ____
Answer:
Multiplication of 4 with 6 then you get 24.
4 x 6 = 24.
2 x 6 = 12.
2 x 6 = 12.
12 is the product
Double the product is
12 + 12 = 24.
The array of 4 x 6 is
Question 7.
7 × 6 = ___
Answer:
7 x 6 = 42.
7 x 3 = 21.
7 x 3 = 21.
The product is 21.
Double the product is 21 + 21 = 24.
The array of 7 x 6 is
Use a known fact and the Commutative Property to find each product.
Question 8.
7 × 4 = ___
Known fact: ____ × ____ = ____
Answer:
Multiplication of 7 with 4 then you get 28.
7 x 4 = 28
The known fact is 4 x 7 = 28.
It is commutative property of multiplication.
Question 9.
7 × 3 = ___
Known fact: ____ × ____ = ____
Answer:
Multiplication of 7 with 3 then you get 21.
7 x 3 = 21.
Known fact is 3 x 7 = 21.
It is commutative property of multiplication.
Algebra Find each unknown. Decompose the factor 7 into 5 + 2.
Question 10.
9 × 7 = 
Known facts: 9 × ___ = ___
9 × ____ = ____
The unknown is ____.
Answer:
Multiplication of 9 with 7 then you get 63.
Decompose 7 into 5 + 2.
Known fact is
9 x 5 = 45.
9 x 2 = 18.
Add the products 45 + 18 = 63.
The unknown is 63.
Question 11.
7 × 7 =
Known facts: ____
_____________
The unknown is ____.
Answer:
Multiplication of 7 with 7 then you get 49.
Decompose 7 into 5 + 2.
The known facts is
7 x 5 = 35.
7 x 2 = 14.
Add the products 35 + 14 = 49.
The unknown is 49.
Multiply.
Question 12.
5 × 6 = ___
Answer:
Multiplication of 5 with 6 then you get 30.
5 x 6 = 30.
Question 13.
8 × 7 = ____
Answer:
Multiplication of 8 with 7 then you get 56.
8 x 7 = 56.
Question 14.
9 × 6 = ____
Answer:
Multiplication of 9 with 6 then you get 54.
9 x 6 = 54.
Divide. Write a related multiplication fact.
Question 15.
14 ÷ 7 = _____
Answer:
14 divided by 7 equal to 2.
14 ÷ 7 = 2.
Question 16.
Answer:
56 divided by 7 equal to 8.
56 ÷ 7 = 8.
Question 17.
70 ÷ 7 = _____
Answer:
70 divided by 7 equal to 10.
70 ÷ 7 = 10.
Question 18.
48 ÷ 8 = _____
Answer:
48 divided by 8 equal to 6.
48 ÷ 8 = 6.
Problem Solving
Algebra Write a division sentence with a symbol for the unknown. Then solve.
Question 19.
The zoo has 18 monkeys and 6 trees. Each tree has the same number of monkeys. How many monkeys are in each tree?
Answer:
Given that,
The total number of monkeys in the zoo is 18.
The total number of trees in the trees are 6.
So, 18 ÷ 6 = 3.
Therefore each tree has 6 monkeys.
Question 20.
When a tree is cut down, 7 new trees are planted. If 56 new trees have been planted, how many trees have been cut down?
Answer:
Given that,
When a tree is cut down, 7 new trees are planted.
1 tree = 7 new trees.
56 new trees = 56/7 = 8.
Therefore we need to cut 8 trees to plant 56 new trees.
Test Practice
Question 21.
The picture shows the number of carrots Aisha’s guinea pigs eat each day. She has 21 carrots. For how many days will the carrots last if they eat an equal number each day?
A. 2 days
B. 3 days
C. 4 days
D. 5 days
Answer:
The picture shows the 7 carrots.
She has total 21 carrots.
The number days will the carrots last if they eat an equal number each day is 21/7 = 3.
Option B is the correct answer.
Check My Progress Page No. 467-468
Vocabulary Check
Question 1.
Use the pattern created by the 9s facts to complete.
The tens digit of the product is always ___ less than the factor that is not 9.
The sum of the digits in the product is ____.
Answer:
The tens digit of the product is always 1 less than the factor that is not 9.
The sum of the digits in the product is = 9 + 18 + 27 + 36 + 45 + 54 + 63 + 72 + 81 + 90 = 495.
Concept Check
Double a known fad to find each product.
Question 2.
4 × 8 = ____
____ × 8 = ___
____ × 8 = ___
____ + ____ = ____
Answer:
Multiplication of 4 with 8 then you get 32.
4 x 8 = 32.
2 x 8 = 16.
2 x 8 = 16.
Product is 16.
Add the product is 16 + 16 = 32.
The unknown is 32.
Question 3.
10 × 8 = ____
Answer:
Multiplication of 10 with 8 then you get 80.
5 x 8 = 40.
5 x 8 = 40.
Product is 40.
Add the product is 40 + 40 = 80.
The unknown is 80.
Use the Commutative Property to find each product. Write a related multiplication fact.
Question 4.
7 × 9 = ____
Answer:
7 x 9 = 63.
9 x 7 = 63.
The both multiplication sentence as same product.
So, it is a commutative property of multiplication.
Question 5.
8 × 5 = ___
Answer:
Multiplication of 8 with 5 then you get 40.
8 x 5 = 40.
5 x 8 = 40.
The both multiplication sentence as same product.
So, it is a commutative property of multiplication.
Question 6.
6 × 8 = ____
Answer:
Multiplication of 6 with 8 then you get 48.
6 x 8 = 48.
The both multiplication sentence as same product.
So, it is a commutative property of multiplication.
Multiply.
Question 7.
Answer:
Multiplication of 9 with 2 then you get 18.
9 x 2 = 18.
Question 8.
Answer:
Multiplication of 8 with 6 then you get 48.
8 x 6 = 48.
Question 9.
Answer:
Multiplication of 9 with 7 then you get 63.
9 x 7 = 63.
Question 10.
Answer:
Multiplication of 8 with 4 then you get 32.
8 x 4 = 32.
Divide. Write a related multiplication fact.
Question 11.
27 ÷ 9 = ___
Answer:
27 divided by 9 equal to 3.
27 ÷ 9 = 3.
Question 12.
48 ÷ 8 = ___
Answer:
48 divided by 8 equal to 6.
48 ÷ 8 = 6.
Question 13.
90 ÷ 9 = ___
Answer:
90 divided by 9 equal to 10.
90 ÷ 9 = 10.
Question 14.
Answer:
24 divided by 8 equal to 3.
24 ÷ 8 = 3.
Question 15.
Algebra Draw an array and use the inverse operation to find each unknown.
45 ÷ 9 = ?
× 9 = 45
? = ____
= ____
Answer:
45 divided by 9 equal to 5.
5 x 9 = 45.
? = 5.
The unknown is 5.
Problem Solving
Question 16.
Algebra Each side of a stadium is bordered with 8 flags. There are a total of 40 flags. How many sides are there to the stadium? Write a division sentence with a symbol for the unknown. Then solve.
Answer:
Given that,
Each side of a stadium is bordered with 8 flags.
There are a total of 40 flags..
So, 40 ÷ 8 = 5.
Therefore the stadium has 5 sides.
The division sentence is 40 ÷ 8 = 5.
The unknown is 5.
Test Practice
Question 17.
Henry equally divided 54 pieces of paper among 9 people. To help you find the number of pieces of paper each person received, which related fact could you use?
A. 9 × 9 = 81
B. 9 × 6 = 54
C. 6 × 3 = 18
D. 6 + 9 = 15
Answer:
Given that,
Henry equally divided 54 pieces of paper among 9 people.
So, the division sentence is 54 ÷ 9 = 6.
The multiplication sentence is 9 x 6 = 54.
Therefore the number of pieces per each person is 6.
Option B is the correct answer.