All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 9 Divide by 11 and 12** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 8 Lesson 9 Divide by 11 and 12

**Math in My World**

Example 1

For a field trip, 33 students went to the science museum. There were 11 microscopes. Each was used by an equal number of students in a group How many students were in each group?

Find 33 ÷ 11, or .

Partition 33 counters into 11 equal groups. Draw the equal groups

**Helpful Hint**

Division can be thought of as partitioning into equal groups.

There are ____ counters in each group.

My drawing shows that 33 ÷ 11 =

There were ____ students in each group.

When you divide by 11 and 12, it is often quicker to use the inverse operation of multiplication.

Answer:

Given that,

The total number of students are 33.

The total number of microscopes are 11.

So, 33 ÷ 11 = 3.

There are 3 counters in each group.

There were 3 students in each group.

Example 2

Maurice bought 48 eggs. They were packaged in cartons of 12. How many cartons did Maurice buy?

Find the unknown in 48 ÷ 12 =

Think of division as a missing factor problem.

So, 48 ÷ 12 = ____. The unknown is ___.

Maurice bought ____ cartons of eggs.

Answer:

Given that,

Maurice bought 48 eggs.

They were packaged in cartons of 12.

So, 48 ÷ 12 = 4.

The unknown is 4.

Therefore Maurice bought 4 cartons of eggs.

**Guided Practice**

**Use counters to find the number in each group.**

**Talk Math**

Describe the pattern seen in the quotients when numbers such as 66, 55, and 44 are divided by 11.

Answer:

Given that the numbers are 55, 66, and 44.

55, 66, 44 divided by 11 then you get the 5, 6 and 4.

That is

55 ÷ 11 = 5.

66 ÷ 11 = 6.

44 ÷ 4 = 4.

Question 1.

44 counters

11 equal groups

_____ in each group

So, 44 ÷ 11 = ___

Answer:

Given that,

44 counters in 11 equal groups.

So, 44 ÷ 11 = 4.

Therefore there are 4 in each group.

Question 2.

36 counters

12 equal groups

_____ in each group

So, 36 ÷ 12 = ___

Answer:

Given that,

36 counters in 12 equal groups.

So, 36 ÷ 12 = 3.

Therefore there are 3 in each group.

Question 3.

Use repeated subtraction to divide.

60 ÷ 12 = _____

Answer:

Using the repeated subtraction 60 ÷ 12 = 5.

**Independent Practice**

**Use counters to find the number of equal groups or the number in each group.**

Question 4.

22 counters

11 equal groups

____ in each group

So, 22 ÷ 11 = ____.

Answer:

Given that,

22 counters in 11 equal groups.

So, 22 ÷ 11 = 2.

Therefore there are 2 in each group.

Question 5.

72 counters

12 equal groups

____ in each group

So, 72 ÷ ___ = ____.

Answer:

Given that,

72 counters in 12 equal groups.

So, 72 ÷ 12 = 6.

Therefore there are 6 in each group.

Question 6.

84 counters

____ equal groups

7 in each group

So, ___ ÷ ___ = 7.

Answer:

Given that,

84 counters and 7 in each group.

So, 84 ÷ 7 = 12.

Therefore there are 7 equal groups.

**Use repeated subtraction to divide.**

Question 7.

55 ÷ 11 = ____

Answer:

Using the repeated subtraction 55 ÷ 11 = 5.

**Algebra Use the inverse operation to find each unknown.**

Question 8.

77 ÷ 11 =

11 × = 77

Answer:

77 divided by 11 = 7.

77 ÷ 11 = 7.

The inverse operation is

Multiplication of 11 with 7 then you get 77.

11 x 7 = 77

Therefore the unknown is 7.

Question 9.

99 ÷ 11 =

11 × = 99

Answer:

99 divided by 11 equal to 9.

99 ÷ 11 = 9.

The inverse operation is

Multiplication of 11 with 9 then you get 99.

11 x 9 = 99.

Therefore the unknown is 9.

Question 10.

44 ÷ 11 =

11 × = 44

Answer:

44 divided by 11 equal to 4.

44 ÷ 11 = 4.

The inverse operation is

Multiplication of 11 with 4 then you get 44.

11 x 4 = 44.

Therefore the unknown is 4.

Question 11.

The unknown is _____.

Answer:

48 divided by 12 equal to 4.

48 ÷ 12 = 4.

The inverse operation is

Multiplication of 12 with 4 then you get 48.

12 x 4 = 48.

Therefore the unknown is 4.

Question 12.

The unknown is _____.

Answer:

99 divided by 11 equal to 9.

99 ÷ 11 = 9.

The inverse operation is

Multiplication of 11 with 9 then you get 99.

11 x 9 = 99.

Therefore the unknown is 9.

Question 13.

The unknown is _____.

Answer:

88 divided by 11 equal to 8.

88 ÷ 11 = 8.

The inverse operation is

Multiplication of 11 with 8 then you get 88.

11 x 8 = 88.

Therefore the unknown is 8.

Question 14.

33 ÷ 3 =

The unknown is _____.

Answer:

33 divided by 3 equal to 11.

33 ÷ 3 = 11.

Therefore the unknown is 11.

Question 15.

66 ÷ 11 =

The unknown is _____.

Answer:

66 divided by 11 equal to 6.

66 ÷ 11 = 6.

Therefore the unknown is 6.

Question 16.

36 ÷ 12 =

The unknown is _____.

Answer:

36 divided by 12 equal to 3.

36 ÷ 12 = 3.

Therefore the unknown is 3.

**Problem Solving**

Question 17.

**Mathematical PRACTICE 4 Model Math** Sharon traveled 96 miles in her truck on 12 gallons of gasoline. How many miles did she drive on each gallon? Write a division sentence to solve.

Answer:

Given that,

Sharon traveled 96 miles in her truck

There are 12 gallons of gasoline.

So, 96 ÷ 12 = 8.

Therefore on each gallon Sharon drive is 8 miles.

Question 18.

Vickram took 33 photographs of his pet ferret. He sent an equal number of photographs to each of his 11 friends. How many photographs will each friend receive? Write a division sentence to solve.

Answer:

Given that,

Vikram took 33 photographs of his pet ferret.

He sent an equal number of photographs to each of his 11 friends.

The division sentence is

33 ÷ 11 = 3.

Therefore each friend receive 3 photographs.

Question 19.

A river otter caught 4 frogs, 19 crayfish, and 13 other small fish from 12 different ponds. He caught the same number of creatures at each pond. How many creatures did he catch at each pond?

Answer:

Given that.

A river otter caught 4 frogs, 19 crayfish, and 13 other small fish from 12 different ponds.

The total number of creatures are 4 + 19 + 13 = 36.

So, 36 ÷ 12 = 3.

Therefore Otter catches 3 creatures from each pound.

**HOT Problems**

Question 20.

**Mathematical PRACTICE 1 Make Sense of Problems** How could the multiplication fact 4 × 12 = 48 be used to find 96 ÷ 12?

Answer:

Given that,

4 × 12 = 48.

If you double the fact 4 x 12 is

4 x 12 + 4 x 12 = 8 x 12.

So, 8 x 12 = 96.

Therefore 96 ÷ 12 = 8.

Question 21.

**? Building on the Essential Question** How can I think of dividing by 11 or 12 as an unknown factor problem?

Answer:

Here the unknown factor is the quotient.

Any number multiplies by 11 or 12 then you get the quotient.

Suppose,

2 x 11 = 22.

2 x 12 = 24

Therefore 22 and 24 are the unknowns.

### McGraw Hill My Math Grade 3 Chapter 8 Lesson 9 My Homework Answer Key

**Practice**

**Find the number of equal groups.**

Question 1.

77 counters

11 in each group

There will be ____ groups.

Answer:

Given that,

77 counters and 11 in each group.

So, 77 ÷ 11 = 7.

Therefore there will be 7 groups.

Question 2.

60 counters

12 in each group

There will be ____ groups.

Answer:

Given that,

60 counters and 12 in each group.

So, 60 ÷ 12 = 5.

Therefore there will be 5 groups.

**Use repeated subtraction to divide.**

Question 3.

48 ÷ 12 = ____

Answer:

Using the repeated subtraction 48 ÷ 12 = 4.

Question 4.

33 ÷ 11 = ____

Answer:

Using the repeated subtraction 33 ÷ 11 = 3.

**Algebra Use the inverse operation to find each unknown.**

Question 5.

88 ÷ 11 =

11 × ____ = 88

The unknown is _____.

Answer:

88 divided by 11 equal to 8.

88 ÷ 11 = 8.

The inverse operation is

Multiplication of 11 with 8 then you get 88.

11 x 8 = 88

Therefore the unknown is 8.

Question 6.

12 × ____ = 72

The unknown is _____.

Answer:

72 divided by 12 equal to 6.

72 ÷ 12 = 6.

The inverse operation is

Multiplication of 12 with 6 then you get 72.

12 x 6 = 72.

Therefore the unknown is 6.

**Problem Solving**

Question 7.

Tim is saving to buy a new cell phone that costs $84. If he saves $12 each month, in how many months will he have $84?

Answer:

Given that,

The total cost of the cell phone is $84.

He save for each month is $12.

The number of months he saved is $84 ÷ $12 = 7.

Therefore the number of months Tim saved is 7.

Question 8.

A grocery store has 60 boxes of cereal. There are 12 different kinds of cereal. If there are an equal number of boxes of each kind, how many boxes of each kind are there?

Answer:

Given that,

A grocery store has 60 boxes of cereal.

There are 12 different kinds of cereal.

So, 60 ÷ 12 = 5.

Therefore the each cereal has 5 boxes.

Question 9.

**Mathematical PRACTICE 1 Keep Trying** Malcolm’s family has 3 cats, 2 dogs, 2 rabbits, and 4 hamsters. Malcolm spends an equal amount of time each day playing with each animal. If he spends 55 minutes altogether, how much time did he spend with each animal?

Answer:

Given that,

Malcolm’s family has 3 cats, 2 dogs, 2 rabbits, and 4 hamsters.

If he spends 55 minutes altogether.

The total number of animals are 3 + 2 + 2 + 4 = 11.

So, 55 ÷ 11 = 5.

Therefore Malcolm’s family spends 5 minutes for each animal.

**Test Practice**

Question 10.

Which number sentence can you use to check your answer when finding 44 ÷ 11?

A. 4 + 11 = 15

B. 44 – 11 = 33

C. 4 × 11 = 44

D. 44 + 11 = 55

Answer:

44 divided by 11 equal to 4.

44 ÷ 11 = 4.

The inverse operation is

Multiplication of 4 with 11 then yo get 44.

4 x 11 = 44.

Option C is the correct answer.

**Fluency Practice**

**Multiply or divide.**

Question 1.

9 × 5 = ____

Answer:

Multiplication of 9 with 5 then you get 45.

9 x 5 = 45.

Question 2.

18 ÷ 6 = ____

Answer:

18 divided by 6 equal to 3.

18 ÷ 6 = 3.

Question 3.

8 × 7 = ____

Answer:

Multiplication of 8 with 7 then you get 56.

8 x 7 = 56.

Question 4.

49 ÷ 7 = ___

Answer:

49 divided by 7 equal to 7.

49 ÷ 7 = 7.

Question 5.

7 × 5 = ___

Answer:

Multiplication of 7 with 5 then you get 35.

7 x 5 = 35.

Question 6.

48 ÷ 8 = ____

Answer:

48 Divided by 8 equal to 6.

48 ÷ 6 = 8.

Question 7.

6 × 7 = ____

Answer:

Multiplication of 6 with 7 then you get 42.

6 x 7 = 42.

Question 8.

81 ÷ 9 = ____

Answer:

81 divided by 9 equal to 9.

81 ÷ 9 = 9.

Question 9.

60 ÷ 10 = ____

Answer:

60 divided by 10 equal to 6.

60 ÷ 10 = 6.

Question 10.

11 × 2 = ____

Answer:

Multiplication of 11 with 2 then you get 22.

11 x 2 = 22.

Question 11.

44 ÷ 4 = ____

Answer:

44 divided by 4 equal to 11.

44 ÷ 4 = 11.

Question 12.

8 × 2 = ____

Answer:

Multiplication of 8 with 2 then you get 16.

8 x 2 = 16.

Question 13.

Answer:

Multiplication of 12 with 4 then you get 48.

12 x 4 = 48.

Question 14.

Answer:

Multiplication of 9 with 3 then you get 27.

9 x 3 = 27.

Question 15.

Answer:

Multiplication of 8 with 8 then you get 64.

8 x 8 = 64.

Question 16.

Answer:

Multiplication of 0 with 9 then you get 0.

9 x 0 = 0.

Question 17.

Answer:

54 divided by 9 equal to 6.

54 ÷ 9 = 6.

Question 18.

Answer:

Multiplication of 6 with 6 then you get 36.

6 x 6 = 36.

Question 19.

Answer:

63 divided by 7 equal to 9.

63 ÷ 7 = 9.

Question 20.

Answer:

Multiplication of 11 with 3 then you get 33.

11 x 3 = 33.

Question 21.

Answer:

Multiplication of 12 with 2 then you get 24.

12 x 2 = 24.

Question 22.

Answer:

90 divided by 9 equal to 10.

90 ÷ 9 = 10.

Question 23.

Answer:

Multiplication of 6 with 0 then you get 0.

6 x 0 = 0.

**Fluency Practice**

**Multiply or divide.**

Question 1.

6 × 3 = ____

Answer:

Multiplication of 6 with 3 then you get 18.

6 x 3 = 18.

Question 2.

30 ÷ 6 = ___

Answer:

30 divided by 6 equal to 5.

30 ÷ 6 = 5.

Question 3.

56 ÷ 7 = ___

Answer:

56 divided by 7 equal to 8.

56 ÷ 7 = 8.

Question 4.

9 × 5 = ___

Answer:

Multiplication of 9 with 5 then you get 45.

9 x 5 = 45.

Question 5.

36 ÷ 12 = ___

Answer:

36 divided by 12 equal to 3.

36 ÷ 12 = 3.

Question 6.

66 ÷ 11 = ___

Answer:

66 divided by 11 equal to 6.

66 ÷ 11 = 6.

Question 7.

100 ÷ 1o = ____

Answer:

100 divided by 10 equal to 10.

100 ÷ 10 = 10.

Question 8.

9 × 6 = ___

Answer:

Multiplication of 9 with 6 then you get 54.

9 x 6 = 54.

Question 9.

42 ÷ 7 = ____

Answer:

42 divided by 7 equal to 6.

42 ÷ 7 = 6.

Question 10.

60 ÷ 12 = ___

Answer:

60 divided by 12 equal to 5.

60 ÷ 12 = 5.

Question 11.

48 ÷ 6 = ___

Answer:

48 divided by 6 equal to 8.

48 ÷ 6 = 8.

Question 12.

80 ÷ 10 = ___

Answer:

80 divided by 10 equal to 8.

80 ÷ 10 = 8.

Question 13.

Answer:

49divided by 7 equal to 7.

48 ÷ 7 = 7.

Question 14.

Answer:

Multiplication of 9 with 8 then you get 72.

9 x 8 = 72.

Question 15.

Answer:

Multiplication of 8 with 4 then you get 32.

8 x 4 = 32.

Question 16.

Answer:

Multiplication of 12 with 6 then you get 72

12 x 6 = 72.

Question 17.

Answer:

Multiplication of 11 with 5 then you get 55.

11 x 5 = 55.

Question 18.

Answer:

14 divided by 7 equal to 2,

14 ÷ 7 = 2.

Question 19.

Answer:

44 divided by 11 equal to 4.

44 ÷ 11 = 4.

Question 20.

Answer:

Multiplication of 9 with 9 then you get 81.

9 x 9 = 81.

Question 21.

Answer:

84 divided by 12 equal to 7.

84 ÷ 12 = 7.

Question 22.

Answer:

Multiplication of 6 with 8 then you get 48.

6 x 8 = 48.

Question 23.

Answer:

54 divided by 6 equal to 9.

54 ÷ 6 = 9.

Question 24.

Answer:

Multiplication of 12 with 8 then you get 96.

12 x 8 = 96.