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

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.

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.

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.

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 ___ + ___.
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 + ___ = ____
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 = ___
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.

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.

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 ____
Multiplication of 4 with 6 then you get 24.
4 x 6 = 24.
The unknown is 24.

Question 7.
10 ×  = 60
The unknown is ____
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 ____
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 ____
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 = ____
Multiplication of 1 with 6 then you get 6.
1 x 6 = 6.

Question 11.
7 × 6 = ____
Multiplication of 7 with 6 then you get 42.
7 x 6 = 42.

Question 12.
6 × 4 = ____
Multiplication of 6 with 4 then you get 24.
6 x 4 = 24.

Question 13.
6 × 3 = ____
Multiplication of 6 with 3 then you get 18.
6 x 3 = 18.

Question 14.
2 × 6 = ____
Multiplication of 2 with 6 then you get 12.
2 x 6 = 12.

Question 15.
6 × 0 = ____
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?
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?
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.

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?
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 = ____
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.

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 _____.
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 _____.
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 _____.
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 _____.
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?
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?
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