All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 1 Multiply by 6** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 8 Lesson 1 Multiply by 6

**Math in My World**

Example 1

There are 3 dogs. Each dog buried 4 bones in a yard. How many bones are buried in the yard?

Write 7 rows of 6 as 7 × 6.

Decompose 6 into equal addends of 3 + 3.

So, 7 × 6 = ___.

There are ____ band members.

Check Shade part of the array yellow to show 7 × 3. Shade the remaining part green to show 7 × 3. The shaded array shows the known fact doubled.

Answer:

Given that,

There are 3 dogs.

Each dog buried 4 bones in a yard.

Write 7 rows of 6 as 7 × 6.

Decompose 6 into 3 + 3.

7 x 6 = 7 x 3 + 7 x 3.

42 = 21 + 21.

42 = 42.

So, 7 × 6 = 42.

There are 42 band members.

Example 2

Four frogs sifting on a log eat 6 flies each. How many flies are eaten altogether? Write a multiplication sentence with a symbol for the unknown. Then solve.

Either factor can be decomposed into equal addends.

One Way Decompose 4 into 2 + 2.

So, 4 × 6 = ____. The unknown is ____

The frogs ate ___ flies.

Another way Decompose 6 into 3 + 3.

Answer:

Given that,

Four frogs sifting on a log eat 6 flies each.

Decompose 4 into 2 + 2.

4 x 6 = 2 x 6 + 2 x 6

24 = 12 + 12

24 = 24.

So, 4 × 6 = 24.

The unknown is 24.

The frogs ate 24 flies.

Know Decompose 6 into 3 + 3.

4 x 6 = 4 x 3 + 4 x 3.

24 = 12 + 12.

24 = 24.

**Talk Math**

Explain why the product of 6 and 3 is double the product of 3 and 3.

Answer:

The product of 6 and 3 is double the product of 3 and 3.

3 x 3 = 9.

If you double the know fact is 3 x 3 + 3 x 3 then you get the 6 x 3.

6 x 3 = 18.

**Guided Practice**

Question 1.

Complete the sentence below.

To find 8 × 6, you could decompose

6 into ___ + ___ or you could decompose

8 into ___ + ___.

Answer:

Multiplication of 8 with 6 then you get 48.

8 x 6 = 48.

Decompose 6 into 3 + 3.

or.

Decompose 8 into 4 + 4.

**Independent Practice**

**Double a known fact to find each product. Draw an array.**

Question 2.

5 × 6 = ___

5 × 3 = 15

___ × 3 = ___

15 + ___ = ____

Answer:

Multiplication of 5 with 6 then you get 30.

5 x 6 = 30.

Decompose 6 with 3 + 3.

5 x 3 = 15.

5 x 3 = 15.

The product is 15.

Add the product 15 + 15 = 30.

The array of 5 x 6 is

Question 3.

9 × 6 = ___

Answer:

Multiplication of 9 with 6 then you get 54.

9 x 6 = 54.

Decompose 6 with 3 + 3.

9 x 3 = 27

9 x 3 = 27.

The product is 27.

Add the product 27 + 27 = 54.

The array of 9 x 6 is

Question 4.

Answer:

Multiplication of 3 with 6 then you get 18.

3 x 6 = 18.

Decompose 6 with 3 + 3.

3 x 3 = 9.

3 x 3 = 9.

The product is 9.

Add the product 9 + 9 = 18.

The array of 3 x 6 is

Question 5.

Answer:

Multiplication of 8 with 6 then you get 48.

8 x 6 = 48.

Decompose 6 with 3 + 3.

8 x 3 = 24.

8 x 3 = 24.

The product is 24.

Add the product 24 + 24 = 48.

The array of 8 x 6 is

**Algebra Find each unknown. Double a known fact.**

Question 6.

4 × = 24

The unknown is ____

Answer:

Multiplication of 4 with 6 then you get 24.

4 x 6 = 24.

The unknown is 24.

Question 7.

10 × = 60

The unknown is ____

Answer:

Multiplication of 10 with 6 then you get 60.

10 x 6 = 60.

The known fact is 60.

Double the known fact is 60 + 60 = 120.

The unknown is 6.

Question 8.

6 × 6 =

The unknown is ____

Answer:

Multiplication of 6 with 6 then you get 36.

The known fact is 6 x 6.

Double the known fact is 6 x 6 + 6 x 6.

= 12 x 6.

The unknown fact is 36.

Question 9.

× 6 = 42

The unknown is ____

Answer:

Multiplication of 7 with 6 then you get 42.

The known fact is 42.

Double the known fact is 42 + 42 = 84.

The unknown fact is 42.

**Multiply. Use the multiplication table.**

Question 10.

1 × 6 = ____

Answer:

Multiplication of 1 with 6 then you get 6.

1 x 6 = 6.

Question 11.

7 × 6 = ____

Answer:

Multiplication of 7 with 6 then you get 42.

7 x 6 = 42.

Question 12.

6 × 4 = ____

Answer:

Multiplication of 6 with 4 then you get 24.

6 x 4 = 24.

Question 13.

6 × 3 = ____

Answer:

Multiplication of 6 with 3 then you get 18.

6 x 3 = 18.

Question 14.

2 × 6 = ____

Answer:

Multiplication of 2 with 6 then you get 12.

2 x 6 = 12.

Question 15.

6 × 0 = ____

Answer:

Multiplication of 6 with 0 then you get 0.

6 x 0 = 0.

**Problem Solving**

**Algebra Write a multiplication sentence with a symbol for the unknown. Solve.**

Question 16.

In the morning, 6 eggs hatched. By the evening, nine times as many had hatched. What is the total number of eggs that hatched?

Answer:

Given that,

The total eggs hatched in the morning is 6.

The total eggs hatched in the evening is 9 times of 6.

So, 9 x 6 = 54.

Therefore the total number of eggs that hatched is 54.

Question 17.

**Mathematical PRACTICE 6 Be Precise** If Ida has 6 ten-dollar bills, does she have enough money for 8 bags of

rabbit food that cost $6 each? Explain.

Answer:

Given that,

Ida has 6 ten-dollar bills.

The total number of bags are 8.

The cost of each bag is $6.

So, 8 x $6 = $48.

Therefore Ida has no enough money.

Question 18.

**Mathematical PRACTICE 5 Reason** Anna forgot her 6s facts. She used the 5s fact 5 × 6 = 30 to find the product

of 6 × 5. What property of multiplication allows her to do this?

Answer:

The 5s fact is 5 x 6 = 30.

The 6s fact is 6 x 5 = 30.

The property of multiplication is commutative.

Question 19.

**Mathematical PRACTICE 8 Look for a Pattern** Part of the multiplication table is shown. Study the pattern in the products of 6. Will the products of 6 always be even or always be odd? Explain.

Answer:

The products of 6 is

6 x 1 = 6.

6 x 2 = 12.

6 x 3 = 18.

6 x 4 = 24.

6 x 5 = 30.

6 x 6 = 36.

6 x 7 = 42.

6 x 8 = 48.

6 x 9 = 54

6 x 10 = 60

All the products of 6 is even.

Question 20.

**? Building on the Essential Question** How can doubling a known fact be helpful when finding products mentally?

Answer:

If we have 4 x 3 = 12.

Here 4x 3 is the known facts

12 is the unknown fact.

Double the known fact 4 x 3 + 4 x 3 is 8 x 3 = 24.

24 is the double the product of 4 x 3.

### McGraw Hill My Math Grade 3 Chapter 8 Lesson 1 My Homework Answer Key

**Practice**

**Double a known fact to find each product. Draw an array.**

Question 1.

2 × 6 = ____

Answer:

Multiplication of 2 with 6 then you get 12.

Double the know fact is 2 x 6 + 2 x 6.

4 x 6 = 24.

The array of 4 x 6 is

Question 2.

Answer:

Multiplication of 9 with 6 then you get 48.

Double the product is 9 x 6 + 9 x 6.

18 x 6 = 96.

The array of 18 x 6 is

**Algebra Find each unknown. Double a known fact.**

Question 3.

5 × = 30

The unknown is _____.

Answer:

Multiplication of 5 with 6 then you get 30.

5 x 6 = 30.

The known fact is 30.

Double the known fact is 30 + 30 = 60.

The unknown is 4.

Question 4.

× 6 = 60

The unknown is _____.

Answer:

Multiplication of 10 with 6 then you get 60.

10 x 6 = 30.

The known fact is 60.

Double the known fact is 60 + 60 = 120.

The unknown is 10.

Question 5.

6 × = 36

The unknown is _____.

Answer:

Multiplication of 6 with 6 then you get 36.

6 x 6 = 36.

The known fact is 36.

Double the known fact is 36 + 36 = 72

The unknown is 6.

Question 6.

× 6 = 42

The unknown is _____.

Answer:

Multiplication of 7 with 6 then you get 42.

7 x 6 = 42.

The known fact is 42.

Double the known fact is 42 + 42 = 84

The unknown is 7.

**Problem Solving**

**Mathematical PRACTICE 2 Use Algebra For Exercises 7—8, write a multiplication sentence with a symbol for the unknown. Then solve.**

Question 7.

A flea has 6 legs. How many legs are there altogether on 8 fleas?

Answer:

Given that,

The flea has 6 legs.

The total number of fleas are 8.

The number of legs for 8 fleas is 8 x 6 = 48.

Therefore the total number of legs for 8 fleas is 48.

Question 8.

Admission to a science museum is $9. How much altogether will it cost for 6 people?

Answer:

Given that,

The total cost for the Admission to a science museum is $9

The total cost for 6 people is 6 x $9 is $54.

Therefore the cost of 6 people for the Admission to a science museum is $54.

Question 9.

**Mathematical PRACTICE 1 Make Sense of Problems** Gina’s kitten weighs 5 ounces. If the kitten gains 3 ounces

every week, how many ounces will the kitten weigh in 6 weeks?

Answer:

Given that,

Gina’s kitten weighs 5 ounces.

If the kitten gains 3 ounces every week,

In first week kitten weights is 5 ounces.

In second week kitten weights is 5 + 3 = 8 ounces.

In third week kitten weights is 8 + 3 = 11 ounces.

In fourth week kitten weights is 11 + 3 = 14 ounces.

In fifth week kitten weights is 14 + 3 = 17 ounces.

In sixth week kitten weights is 17 + 3 = 20

The number of ounces will the kitten weigh in 6 weeks is 20 ounces.

**Test Practice**

Question 10.

Which number sentence represents the array shown at the right?

A. 4 × 6 = 24

B. 3 × 6 = 18

C. 4 + 6 = 10

D. 8 × 3 = 24

Answer:

The number sentences represents the array is

4 x 6 = 24.

3 x 6 = 18.

8 x 3 = 24.

Option A, B, D are the correct option.