We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 4 Lesson 1 Understand the Identity and Zero Properties of Multiplication** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 4 Lesson 1 Answer Key Understand the Identity and Zero Properties of Multiplication

I Can use the Identity Property and Zero Property of Multiplication as strategies to multiply with 1 and 0.

**Spark Your Learning**

Choose any number of plates to place on a table. Put 2 tomatoes on each plate. How many tomatoes are on the plates?

**Show the number of tomatoes on each plate. Write a multiplication equation for the problem.**

Next, show above what would happen if you removed 1 tomato from each plate. Now how many tomatoes are on the plates?

Finally, show above what would happen if you removed 1 more tomato from each plate. Now how many tomatoes are on the plates?

Answer:

Explanation:

I chose 3 numbers of plates on a table

I put 2 tomatoes on each plate

3 x 2 = 6

There are 6 tomatoes on the table

If i remove 1 tomato then the there will be 3 x 1 = 3 tomatoes

If i remove 1 tomato then the there will be 3 x 0 = 0 tomatoes.

**Turn and Talk** If the number of objects in each group is 0, what can you conclude about the total number of objects?

Answer:

If the number of objects in each group is 0, then the total number of objects will be 0

As we know any thing multiplied by 0 is 0 and if we multiply 0 with anything the product will also be 0.

**Build Understanding**

1. Kay makes a fruit basket. She puts 4 oranges in the basket. How many oranges does Kay put in the basket?

**Show the number of oranges in the basket. Write a multiplication equation for the problem.**

A. Kay decides to put 1 more orange in the basket. Show how many oranges are now in the basket.

B. Kay decides to put 1 more orange in the basket. Show how many oranges are now in the basket.

C. What pattern do you see when you multiply with 1 as a factor?

D. Continue the pattern. Write the next three multiplication equations.

Answer:

Explanation:

Kay makes a fruit basket

She puts 4 oranges in the basket

Kay decides to put 1 more orange in the basket

So, 1 x 5 = 5

There will be 5 oranges in the basket now

Kay decides to put 1 more orange in the basket

So, 1 x 6 = 6

There will be 6 oranges in the basket now

If we multiply any number with 1, the product will be the number itself

I observed the increase in the number by 1 in the pattern

The next three multiplication equations are 1 x 7 = 7, 1 x 8 = 8 and 1 x 9 = 9.

**Connect to Vocabulary**

The Identity Property of Multiplication states that the product of any number and 1 is that number.

Examples: 3 × 1 = 3

1 × 4 = 4

2. Wes packs 4 lunch bags. He forgets to pack a cereal bar in each bag. How many cereal bars does Wes pack in the bags?

A. What multiplication equation can you write to find the total number of cereal bars?

B. What multiplication equation can you write to show 5 lunch bags with 0 cereal bars in each bag?

C. What multiplication equation can you write to show 6 lunch bags with 0 cereal bars in each bag?

D. When you multiply with 0, what pattern do you see?

Answer:

4 cereal bars in the 4 bags

Explanation:

Wes packs 4 lunch bags

He forgets to pack a cereal bar in each bag

4 x 1 = 4

The multiplication equation that i can write to show 5 lunch bags with 0 cereal bars in each bag is 5 x 0 = 0

The multiplication equation that i can write to show 5 lunch bags with 0 cereal bars in each bag is 6 x 0 = 0

When i multiply 0, the product will be 0.

**Turn and Talk** Does multiplying a number and 0 have the same effect as adding 0 to a number?

Answer:

No multiplying a number to 0 gives the product as 0 but adding 0 to a number gives the number itself as the sum.

**Connect to Vocabulary**

The Zero Property of Multiplication states that the product of zero and any number is zero.

Examples: 0 × 4 = 0

3 × 0 = 0

**Check Understanding Math Board**

Question 1.

There are 3 plates on the table. Each plate has 0 peppers. How many peppers are on the plates? _____

Answer:

0 peppers

Explanation:

There are 3 plates on the table

Each plate has 0 peppers

The multiplication equation that model the problem is 3 x 0 = 0

The Zero Property of Multiplication states that the product of zero and any number is zero

So, there are 0 peppers on the plates.

Question 2.

There are 7 bowls. Each bowl has 1 spoon. How many spoons are in the bowls? Write a multiplication equation for the problem and solve.

Answer:

7 spoons

Explanation:

There are 7 bowls

Each bowl has 1 spoon

The multiplication equation that model the problem is 7 x 1 = 7

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, there are 7 spoons in 7 bowls.

**On Your Own**

Question 3.

**Model with Mathematics** Each can holds the number of tennis balls shown. Talia has 1 can of tennis balls. How many tennis balls does Talia have?

Write a multiplication equation to model the problem and solve.

Answer:

Each can holds the number of tennis balls shown. Talia has 1 can of tennis balls.

14 × 1 = 14

Talia has 14 tennis balls.

**Complete the equation. Solve.**

Question 4.

Each softball team has 9 players. There are 0 softball teams on the field. How many players are on the field?

___ × ___ = ___

There are ___ players on the field.

Answer:

0 players

Explanation:

Each softball team has 9 players

There are 0 softball teams on the field

The multiplication equation that model the problem is 9 x 0 = 0

The Zero Property of Multiplication states that the product of zero and any number is zero

So, there are 0 players on the field.

Question 5.

Each box has 0 markers. There are 6 boxes. How many markers are in the boxes?

___ × ___ = ___

There are ___ markers in the boxes

Answer:

0 markers

Explanation:

Each box has 0 markers

There are 6 boxes

The multiplication equation that model the problem is 0 x 6 = 0

The Zero Property of Multiplication states that the product of zero and any number is zero

So, there are 0 markers in the boxes.

**Find the product.**

Question 6.

8 × 1 = ___

Answer:

8

Explanation:

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, 8 x 1 = 8.

Question 7.

10 × 0 = ___

Answer:

0

Explanation:

The Zero Property of Multiplication states that the product of zero and any number is zero

So, 10 x 0 = 0.

Question 8.

___ = 1 × 4

Answer:

4

Explanation:

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, 1 x 4 = 4.

Question 9.

___ = 0 × 6

Answer:

0

Explanation:

The Zero Property of Multiplication states that the product of zero and any number is zero

So, 0 x 6 = 0.

Question 10.

1 × 7 = ___

Answer:

7

Explanation:

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, 1 x 7 = 7.

Question 11.

0 × 0 = ___

Answer:

0

Explanation:

The Zero Property of Multiplication states that the product of zero and any number is zero

So, 0 x 0 = 0.

Question 12.

1 × 10 = ___

Answer:

10

Explanation:

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, 1 x 10 = 10.

Question 13.

2 × 0 = ___

Answer:

0

Explanation:

The Zero Property of Multiplication states that the product of zero and any number is zero

So, 2 x 0 = 0.

Question 14.

9 × 1 = ___

Answer:

9

Explanation:

The Identity Property of Multiplication states that the product of any number and 1 is that number.

So, 9 x 1 = 9.

**I’m in a Learning Mindset!**

How did practice help me master finding products using the Identity and Zero Properties of Multiplication?