Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 3.1 Answer Key Multiplication Patterns with Decimals.

## Texas Go Math Grade 5 Lesson 3.2 Answer Key Multiply Decimals and Whole Numbers

**Investigate**

Materials decimal models color pencils

Giant tortoises move very slowly. They can travel a distance of about 0.17 mile in 1 hour,

If a giant tortoise travels at the same speed, how far could it move in 4 hours?

A. Complete the statement to describe the problem.

I need to find how many total miles are in _0.17__ groups of _4__

• Write an expression to represent the problem. _0.17 X 4___

B. Use the decimal model to find the answer.

• What does each small square in the decimal model represent?

C. Shade a group of ___ squares to represent the distance a giant tortoise can move in 1 hour.

D. Use a different color to shade each additional

group of ___ squares until you have __ group of __ squares.

E. Record the total number of squares shaded. ___ squares

So, the giant tortoise can move ___ mile in 4 hours.

Answer:

A. Total number of miles are in 0.17 groups of 4,

Wrote an expression to represent the problem 0.17 X 4,

B. Used the decimal model to find the answer,

Used small square in the decimal model represents,

C. Shaded a group of 4 squares to represent the distance a

giant tortoise can move in 1 hour.

D. Used a different color to shade each additional

group of __0.17_ squares until you have _4_ group of _0.17_ squares.

E. Record the total number of squares shaded. __0.68_ squares

So, the giant tortoise can move _0.68__ mile in 4 hours.

Explanation:

A. Total number of miles are in 0.17 groups of 4,

Wrote an expression to represent the problem 0.17 X 4,

B. Used the decimal model to find the answer,

Used small square in the decimal model represents,

C. Shaded a group of 4 squares to represent the distance a

giant tortoise can move in 1 hour.

D. Used a different color to shade each additional

group of 0.17 squares until you have 4 group of 0.17 squares.

E. Record the total number of squares shaded 0.68 squares

So, the giant tortoise can move 0.68 mile in 4 hours.

**Math talk**

**Mathematical Process
**

Explain how the model helps you determine if your answer is reasonable.

Answer:

Model helped easy way to represent decimal values with the whole,

Explanation:

The model helped to determine the answer is reasonable as

4 blocks of 17 we get

17

X 4

68

hundredths places so 0.68.

**Make connection**

You can use base-ten blocks to solve decimal multiplication problems.

A quick picture is a way to record your work.

Find the product. 3 × 0.46

Step 1

Make 3 groups of 4 tenths and 6 hundredths.

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the hundredths and renamed.

There are _6__ hundredths. I will rename _6_ hundredths as _0.60__.

In our quick picture, cross out the hundredths you renamed.

Step 3

Combined the tenths and renamed.

There are _4_ tenths. I will rename _4_ tenths as _0.40__.

In quick picture, cross out the tenths you renamed.

Step 4

Recorded the value shown by your completed quick picture.

So, 3 × 0.46 = _1.38_

**Share and Show**

**Math Talk**

**Mathematical Processes**

Explain how renaming decimals is like renaming Whole numbers.

Answer:

Place values changes,

Explanation:

When whole numbers are renamed the decimals place values changes

from units to tenths, tens to hundredths.

**Share and Show**

Use the decimal model to find the product.

Question 1.

5 × 0.06 = __0.30_

Answer:

Explanation:

Step 1

Making 5 groups of 6 hundredths.

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the hundredths and rename.

There are 6 hundredths. I will rename _6__ hundredths as _0.60__.

In our quick picture, cross out the hundredths you renamed.

Step 3

Recorded the value shown by your completed quick picture

So, 5 × 0.06 = _0.30_

Question 2.

5 × 0.38 = _1.90__

Answer:

Explanation:

Step 1

Making 5 groups of 3 tenths and 8 hundredths,

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the tenths,hundredths and rename.

There are 3 tenths and 8 hundredths,

I will rename _3__ tenths and __8 __hundredths as _0.38__.

In your quick picture, cross out the hundredths you renamed.

Step 3

Recorded the value shown by your completed quick picture

So, 5 × 0.38 = _1.90_

Question 3.

4 × 0.24 = ___

Answer:

4 X 0.24 = 0.96,

Explanation:

Step 1

Making 4 groups of 2 tenths and 4 hundredths,

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the tenths and hundredths and rename.

There are 2 tenths, 4 hundredths. I will rename 2 tenths,

4 hundredths as _0.24__.

In your quick picture, cross out the hundredths you renamed.

Step 3

Recorded the value shown by your completed quick picture

So, 4 × 0.24 = _0.96_

Question 4.

3 × 0.62 = __1.86__

Answer:

Explanation:

Step 1

Making 3 groups of 6 tenths and 2 hundredths,

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the tenths and hundredths and rename.

There are 6 tenths, 2 hundredths. I will rename 6 tenths,

2 hundredths as _0.62__.

In your quick picture, cross out the hundredths you renamed.

Step 3

Recorded the value shown by your completed quick picture

So, 3 × 0.62 = _1.86_

Question 5.

4 × 0.32 = _1.28__

Answer:

Explanation:

Step 1

Making 4 groups of 3 tenths and 2 hundredths,

Remembering that a square or a flat is equal to 1.

Drawn a quick picture to record your work.

Step 2

Combined the tenths and hundredths and rename.

There are 3 tenths, 2 hundredths. I will rename 3 tenths,

2 hundredths as _1.28__.

In your quick picture, cross out the hundredths you renamed.

Step 3

Recorded the value shown by your completed quick picture

So, 4 × 0.32 = _1.28_

**Problem Solving**

Use the table for 6-8. Use quick pictures or base-ten blocks to help.

Question 6.

Each day a bobcat drinks about 3 times as much water as a Canada goose drinks.

How much water does a bobcat drink in one day?

Answer:

3 X 0.24 = 0.72 liters,

Explanation:

Given each day a bobcat drinks about 3 times as much water as a Canada Goose drinks.

Average amount each day Canada Goose drinks is 0.24 liters,

Water does a bobcat drink in one day is

0.24

X 3

0.72

Question 7.

Multi-Step River otters drink about 5 times as much water as a bald eagle drinks in a day.

How much water does a river otter drink in three days?

Answer:

Water does a River otter drink in three days is 2.40 liters,

Explanation:

Given Multi-Step River otters drink about 5 times as much

water as a bald eagle drinks in a day.

Average amount each day Bald Eagle drinks is 0.16 liters

5 X 0.16 = 0.80,

Water does a River otter drink in three days is

3 X 0.80

0.80

X 3

2.40

Question 8

Write Math Explain how you could use a quick picture to

find the amount of water that a cat drinks in 5 days.

Answer:

The amount of water that a cat drinks in 5 days is 0.75 liters,

Explanation:

Given Math explained the amount of water that a cat drinks in

5 days is 5 X 0.15 = 0.75 liters.

Question 9.

Compare the product of 0.46 and 3 with each of the factors.

Which number has the greatest value? Explain how this is different than

multiplying two whole numbers.

Answer:

The greatest values will be multiplying two whole numbers rather than

multiplying decimal values,

Explanation:

The product of 0.46 and 3 is

1

0.46

X 3

1.38

Factors of 0.4 is (0.1,0.4) or (0.2,0.2),

Factors of 0.06 is (0.01,0.06) or (0.02, 0.03),

Factors of 3 are (1,3), there are no common factors as

we have whole numbers compairing with tenths and hundredths ,

therefore, the greatest values will be multiplying two whole numbers rather than

multiplying decimal values.

**Daily Assessment Task**

Fill in the bubble completely to show your answer.

Question 10.

Representations What multiplication expression does the model show?

(A) 5 × 0.4

(B) 5 × 0.6

(C) 16 × 0.05

(D) 5 × 0.16

Answer:

(A) 5 × 0.4,

Explanation:

Given model represents 5 multiplied by 4 tenths,

So matches with (A) 5 X 0.4.

Question 11.

Display Which equation matches the model?

(A) 4 × 0.31 = 1.24

(B) 4 × 0.31 = 1.51

(C) 4 × 0.39 = 1.24

(D) 4 × 0.39 = 1.56

Answer:

(A) 4 × 0.31 = 1.24

Explanation:

Given model represents 4 multiplied by 3 tenths and 1 hundredths

giving the results as 4 X 0.31 =

0.31

X 4

1.24, So matches with (A) 4 X 0.31 = 1.24.

Question 12.

**Multi-Step** Use Diagrams Use a quick picture to multiply 3 × 0.16.

Then multiply the result by 3 again. What is the final product?

(A) 0.32

(B) 0.48

(C) 1.44

(D) 1.24

Answer:

(C) 1.44,

Explanation:

Using Diagrams a quick picture to multiply

0.16

X 3

0.48

Now multiplying the result by 3 again,

0.48

X 3

0.24

1.20

1.44, matches with (C).

**Texas Test Prep**

Question 13.

Jared has a parakeet that weighs 1.44 ounces. Susie has a Senegal parrot that

weighs 3 times as much as Jared’s parakeet. How many ounces does Susie’s parrot weigh?

(A) 0.32 ounce

(B) 43.2 ounces

(C) 4.32 ounces

(D) 0.43 ounce

Answer:

(C) 4.32 ounces,

Explanation:

Given Jared has a parakeet that weighs 1.44 ounces.

Susie has a Senegal parrot that weighs 3 times as much as Jared’s parakeet.

Number of ounces does Susie’s parrot weigh is

11

1.44

X 3

4.32 matches with (C) 4.32 ounces.

### Texas Go Math Grade 5 Lesson 3.2 Homework and Practice Answer Key

**Use the decimal model to find the product.**

Question 1.

4 × 0.07 = _0.28__

Answer:

4 X 0.07 = 0.28,

Explanation:

Given model represents 4 multiplied by 7 hundredths

giving the results as 4 X 0.07 =

0.07

X 4

0.28, So 4 X 0.07 = 0.28.

Question 2.

3 × 0.21 = __0.63_

Answer:

Explanation:

Given model represents 3 multiplied by 2 tenths and 1 hundredths

giving the results as 3 X 0.21 =

0.21

X 3

0.63, So 3 X 0.63 = 0.63.

Question 3.

4 × 0.13 = _0.52__

Answer:

Explanation:

Given model represents 4 multiplied by 1 tenths and 3 hundredths

giving the results as 4 X 0.13 =

0.13

X 4

0.52, So 4 X 0.13 = 0.52.

Find the product. Draw a quick picture.

Question 4.

3 × 0.38 = _1.14___

Answer:

Explanation:

Given model represents 3 multiplied by 3 tenths and 8 hundredths

giving the results as 3 X 0.38 =

2

0.38

X 3

1.14, So 3 X 0.38 = 1.14.

Question 5.

2 × 0.41 = __0.82__

Answer:

2 X 0.41 =

Explanation:

Given model represents 2 multiplied by 4 tenths and 1 hundredths

giving the results as 2 X 0.41 =

0.41

X 2

0.82, So 2 X 0.41 = 0.82.

**Problem Solving**

Question 6.

Lars walks his dog 4 times farther than Michelle walks her dog.

Michelle walks her dog 0.23 mile. How far does Lars walk his dog?

Answer:

0.92 Lars walk his dog,

Explanation:

Lars walks his dog 4 times farther than Michelle walks her dog.

Michelle walks her dog 0.23 mile. Far does Lars walk his dog is

0.23

X 4

0.92

Question 7.

One day, Nat’s dog drank 3 times as much water as his cat.

If his cat drank 0.83 liter of water, how many liters did his dog drink?

Answer:

24.9 liter Nat’s dog drank water,

Explanation:

One day, Nat’s dog drank 3 times as much water as his cat.

If his cat drank 0.83 liter of water, Liters does his dog drank is

0.83

X 3

24.9

therefore, 24.9 liter Nat’s dog drank water.

**Lesson Check**

**Texas Test Prep**

Fill in the bubble completely to show your answer.

Question 8.

Which equation matches the model?

(A) 5 × 0.18 = 0.9

(B) 5 × 0.18 = 90

(C) 5 × 0.18 = 9.0

(D) 5 × 0.18 = 0.09

Answer:

(A) 5 × 0.18 = 0.9,

Explanation:

Given model represents 5 multiplied by 1 tenths and 8 hundredths

giving the results as 5 X 0.18 =

4

0.18

X 5

0.90, So 5 X 0.18 = 0.90.

Question 9.

Sidney’s bag of popcorn weighs 1.89 ounces. Sam’s bag of popcorn weighs

4 times as much as Sidney’s. What is the weight of Sam’s bag of popcorn?

(A) 0.756 ounce

(B) 7.56 ounces

(C) 75.6 ounces

(D) 756 ounces

Answer:

(B) 7.56 ounces,

Explanation:

Given Sidney’s bag of popcorn weighs 1.89 ounces. Sam’s bag of popcorn weighs

4 times as much as Sidney’s. So the weight of Sam’s bag of popcorn is

33

1.89

X 4

7.56 ounces which matches with (B).

Question 10.

A beaker is filled with 0.23 liter of water. Leon fills another beaker with

3 times as much water. How much water is in Leon’s beaker?

(A) 0.96 liter

(B) 0.84 liter

(C) 0.69 liter

(D) 0.47 liter

Answer:

(C) 0.69 liter,

Explanation:

Given a beaker is filled with 0.23 liter of water. Leon fills another beaker with

3 times as much water. So water is in Leon’s beaker is

0.23

X 3

0.69 liter which matches with (C).

Question 11.

In a swimming race, Yvonne swam 0.18 mile. David swam

4 times as far as Yvonne. How far did David swim?

(A) 2.2 miles

(B) 0.22 mile

(C) 7.2 miles

(D) 0.72 mile

Answer:

(D) 0.72 mile,

Explanation:

Given in a swimming race, Yvonne swam 0.18 mile. David swam

4 times as far as Yvonne. So far did David swim is

3

0.18

X 4

0.72 mile matches with (D).

Question 12.

Multi-Step Carrie has 0.73 liters of juice in her pitcher.

Sanji’s pitcher has 2 times as much juice as Carrie’s pitcher.

Lee’s pitcher has 4 times as much juice as Carrie’s pitcher.

Sanji and Lee pour all their juice into a large bowl. How much juice is in the bowl?

(A) 1.46 liters

(B) 4.38 liters

(C) 2.92 liters

(D) 5.11 liters

Answer:

(B) 4.38 liters,

Explanation:

Given Multi-Step Carrie has 0.73 liters of juice in her pitcher.

Sanji’s pitcher has 2 times as much juice as Carrie’s pitcher.

So Sanji’s pitcher has 2 X 0.73 = 1.46 liters,

Lee’s pitcher has 4 times as much juice as Carrie’s pitcher.

So Lee’s pitcher has 4 X 0.73 = 2.92 liters,

As Sanji and Lee pour all their juice into a large bowl.

Juice is in the bowl is 1.46 + 2.92 = 4.38 liters matches with (B).

Question 13.

**Multi-Step** Justin and Hayden are playing a number game.

Justin’s number is the product of 4 × 0.06. Hayden’s number 0.04

less than the product of Justin’s number and 4. What is Hayden’s number?

(A) 0.92

(B) 0.96

(C) 0.60

(D) 1.0

Answer:

(A) 0.92,

Explanation:

Given Justin and Hayden are playing a number game.

Justin’s number is the product of 4 × 0.06. Hayden’s number 0.04

less than the product of Justin’s number and 4,

Justin’s number is 4 X 0.06 = 0.24,

Hayden’s number is (4 X 0.24) – 0.04 = 0.96 – 0.04 = 0.92 matches with (A).