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## Texas Go Math Grade 5 Module 1 Assessment Answer Key

**Vocabulary**

**Concepts and Skills**

**Vocabulary**

Commutative Property

Distributive Property

inverse operation

thousandth

**Choose the best term from the box.**

Question 1.

The ___________ states that multiplying a sum by a number is the same as multiplying each addend In the sum by the number and then adding the products.

Answer:

We know that,

The “Distributive Property” states that multiplying a sum by a number is the same as multiplying each addend In the sum by the number and then adding the products

Hence, from the above,

We can conclude that

The best term that is suitable for the given statement is: Distributive Property

Question 2.

If one hundredth is divided Into ten equal parts, each part is one ____________

Answer:

We know that,

If one hundredth is divided Into ten equal parts, each part is one “thousandth”

Hence, from the above,

We can conclude that

The best term that is suitable for the given statement is: Thousandth

**Concepts and Skills**

**Write the value of the underlined digit.**

Question 3.

6.54

Answer:

The given decimal number is: 6.54

Now,

The representation of the given number in the place value chart is:

Hence, from the above,

We can conclude that

The value of the underlined digit in the given number is: 4 hundredths

Question 4.

0.837

Answer:

The given decimal number is: 0.837

Now,

The representation of the given number in the place value chart is:

Hence, from the above,

We can conclude that

The value of the underlined digit in the given number is: 8 tenths

Question 5.

8.702

Answer:

The given decimal number is: 8.702

Now,

The representation of the given number in the place value chart is:

Hence, from the above,

We can conclude that

The value of the underlined digit in the given number is: 2 thousandths

Question 6.

9.173

Answer:

The given decimal number is: 9.173

Now,

The representation of the given number in the place value chart is:

Hence, from the above,

We can conclude that

The value of the underlined digit in the given number is: 9 ones

**Compare. Write <, >, or =,**

Question 7.

6.52 6.520

Answer:

The given decimal numbers are: 6.52 and 6.520

Now,

From the given numbers,

We can observe that

All the place-values are the same

Hence, from the above,

We can conclude that

Question 8.

3.589 3.598

Answer:

The given decimal numbers are: 3.589 and 3.598

Now,

We know that,

The place-value of “Hundredths” is greater than the place-value of “Thousandths”

Hence,

Question 9.

8.463 8.483

Answer:

The given decimal numbers are: 8.463 and 8.483

Now,

We know that,

The place-value of “Hundredths” is greater than the place-value of “Thousandths”

Hence,

**Write the place value of the underlined digit. Round each number to the place of the underlined digit.**

Question 10.

0.724

Answer:

The given decimal number is: 0.724

Now,

The representation of the given number in the place value chart is:

So,

From the given place value chart,

The place value of 7 is: 7 Tenths

So,

The rounded number that is to the place of the underlined digit is: 0.7

Hence, from the above,

We can conclude that

The place value of 7 is: 7 Tenths

The rounded number that is to the place of the underlined digit is: 0.7

Question 11.

2.576

Answer:

The given decimal number is: 2.576

Now,

The representation of the given number in the place value chart is:

So,

From the given place value chart,

The place value of 2 is: 2 ones

So,

The rounded number that is to the place of the underlined digit is: 2.6

Hence, from the above,

We can conclude that

The place value of 2 is: 2 ones

The rounded number that is to the place of the underlined digit is: 2.6

Question 12.

4.769

Answer:

The given decimal number is: 4.769

Now,

The representation of the given number in the place value chart is:

So,

From the given place value chart,

The place value of 6 is: 6 Hundredths

So,

The rounded number that is to the place of the underlined digit is: 4.8

Hence, from the above,

We can conclude that

The place value of 6 is: 6 Hundredths

The rounded number that is to the place of the underlined digit is: 4.8

**Complete the equation, and tell which property you used.**

Question 13.

8 × (14 + 7) = ________ + (8 × 7)

Answer:

The given multiplication expression is:

8 × (14 + 7) = ________ + (8 × 7)

Now,

We know that,

The “Distributive Property” states that multiplying a sum by a number is the same as multiplying each addend In the sum by the number and then adding the products

So,

The completed equation is:

8 × (14 + 7) = (8 × 14) + (8 × 7)

Hence, from the above,

We can conclude that

The completed equation is:

8 × (14 + 7) = (8 × 14) + (8 × 7)

The property used is: Distributive Property

Question 14.

7 + (8 + 12) = ___________ + 12

Answer:

The given addition expression is:

7 + (8 + 12) = ___________ + 12

Now,

We know that,

According to the Associative Property of Addition,

If the grouping of addends changes, the sum stays the same

So,

The completed equation is:

7 + (8 + 12) = (7 + 8) + 12

Hence, from the above,

We can conclude that

The completed equation is:

7 + (8 + 12) = (7 + 8) + 12

The property used is: Associative Property of Addition

**Find the sum or difference.**

Question 15.

$14.85 – $4.63

Answer:

The given numbers are: $14.85 and $4.63

Now,

By using the Long Subtraction,

Hence, from the above,

we can conclude that

The result for the given subtraction of numbers is: $10.22

Question 16.

12.325 + 8.274

Answer:

The given numbers are: 12.235 and 8.274

So,

By using the Long Addition,

Hence, from the above,

we can conclude that

The result for the given addition of numbers is: 20.509

Question 17.

7.423 – 5.15

Answer:

The given numbers are: 7.423 and 5.15

So,

By using the Long Subtraction,

Hence, from the above,

we can conclude that

The result for the given subtraction of numbers is: 2.273

**Fill in the bubble completely to show your answer.**

Question 18.

Maya uses a rope to make decorative necklaces for her friends. She has a total of 3.75 yards of rope. If she uses 0.48 yards of rope to make a necklace for her friend, how much rope does Maya have left?

A. 4.13 yards

B. 3.27 yards

C. 3.17 yards

D. 4.23 yards

Answer:

It is given that

Maya uses a rope to make decorative necklaces for her friends. She has a total of 3.75 yards of rope. If she uses 0.48 yards of rope to make a necklace for her friend

So,

The length of rope does Maya have left = 3.75 – 0.48

= 3.27 yards

Hence, from the above,

We can conclude that

The length of the rope does Maya have left is:

Question 19.

Stacy has $75 in her account. On Monday, she deposits $19.75 she earned babysitting. If Stacy buys a new pair of shoes for $40.35, how much money does Stacy have left in her account?

A. $40

B. $95

C. $55

D. $35

Answer:

It is given that

Stacy has $75 in her account. On Monday, she deposits $19.75 she earned babysitting. If Stacy buys a new pair of shoes for $40.35

So,

The amount of money does Stacy has left in her account = $75 + $19.75 – $40.35

= $54.4

≈ $55

Hence, from the above,

We can conclude that

The amount of money does Stacy has left in her account is:

Question 20.

A honeybee can fly up to 2.548 meters per second. Which choice shows that number in expanded form?

A. 2 + 5.4 + 0.008

B. 2 + 0.5 + 0.48

C. 2 + 0.5 + 0.04 + 0.008

D. 2 + 0.5 + 0.04 + 0.08

Answer:

It is given that

A honeybee can fly up to 2.548 meters per second

So,

The Expanded form of 2.548 is:

2 + 0.5 + 0.04 + 0.008

Hence, from the above,

We can conclude that

The choice that shows the given number in the expanded form is:

Question 21.

Jan ran 1.256 miles on Monday, 1.265 miles on Wednesday, and 1.268 miles on Friday. What were her distances from greatest to least?

A. 1.268 miles, 1.256 miles, 1.265 miles

B. 1.268 miles, 1.265 miles, 1.256 miles

C. 1.265 miles, 1.256 miles, 1.268 miles

D. 1.256 miles, 1.265 miles, 1.268 miles

Answer:

It is given that

Jan ran 1.256 miles on Monday, 1.265 miles on Wednesday, and 1.268 miles on Friday

Now,

We know that,

The place values of “Tenths” is greater than “Hundredths” is greater than “Thousandths”

So,

The order of the given numbers from the greatest to the least is:

1.268, 1.265, and 1.256

Hence, from the above,

We can conclude that

The order of Jan’s distances from the greatest to the least is: