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.