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## Texas Go Math Grade 5 Lesson 13.2 Answer Key Customary Length

**Essential Question**

How can you compare and convert units of length?

Answer:

To convert a smaller unit to a larger unit (eg to ), divide it by the number of smaller units that are needed to make. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

**Unlock the Problem**

To build a new swing, Mr. Mattson needs 9 feet of rope for each side of the swing and 6 more feet for the monkey bar. The hardware store sells rope by the yard.

A.

How many feet of rope does Mr. Mattson need for the swing?

Answer:

It is given that

To build a new swing, Mr. Mattson needs 9 feet of rope for each side of the swing

Now,

We know that,

A swing has 2 sides

So,

The total length of the rope Mr. Mattson needs for the swing = 9 + 9 = 18 feet

Hence, from the above,

We can conclude that

The number of feet of rope does Mr. Mattson need for the swing is: 18 feet

B.

How many feet does Mr. Mattson need for the swing and the monkey bar combined?

Answer:

It is given that

Mr. Mattson needs 9 feet of rope for each side of the swing and 6 more feet for the monkey bar

So,

The combined length of the rope Mr. Mattson needed = The total length of the rope needed for both ends of the swing + The length of the rope needed for the monkey bar

= 18 + 6

= 24 feet

Hence, from the above,

We can conclude that

The combined length of the rope Mr. Mattson needed is: 24 feet

Mr. Mattson needs to find how many yards of rope he needs to buy. He will need to convert 24 feet to yards. 1 low many groups of 3 feet are in 24 feet?

Use a strip diagram to write an equation.

So,

Mr. Mattson needs to buy 8 yards of rope.

**Math Talk**

**Mathematical Processes**

What operation did you use when you found groups of 3 feet in 24 feet? Do you multiply or divide when you convert a smaller unit to a larger unit? Explain.

Answer:

When you have to find the number of groups of 3 feet in 24 feet, the operation we will use is: Division

To convert a smaller unit to a larger unit (eg to ), divide it by the number of smaller units that are needed to make. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

**Example**

**Use the table to find the relationship between miles and feet.**

The distance between the new high school and the football field is 2 miles. How does this distance compare to 10,000 feet?

When you convert larger units to smaller units, you need to multiply.

Step 1

Convert 2 miles to feet.

Think: 1 mile is equal to 5,280 feet.

I need to multiply the total number of miles by 5,280 feet

So,

2 miles = 10,560 feet.

Step 2:

Since 10,560 is greater than 10,000, the distance between the new high school and the football field is greater than 10,000 feet.

• Sometimes you need to convert a single unit of measurement to mixed measures. Convert 62 inches into feet and inches.

Think: 1 foot is equal to 12 inches.

62 ÷ 12 = 5 R 2 or 5 ft 2 in.

**Share and Show**

**Convert.**

Question 1.

2 mi = ___ yd

Answer:

The given unit is: Miles

The conversion unit must be: Yards

Now,

From the given table,

We can observe that

1 mile = 1,760 yd

So,

2 miles = 2 × 1,760 yd

= 3,520 yd

Hence, from the above,

We can conclude that

2 miles = 3,520 yards

Question 2.

6 yd = __ ft.

Answer:

The given unit is: Yards

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 yard = 3 feet

So,

6 yards = 6 × 3 feet

= 18 feet

Hence, from the above,

We can conclude that

6 yards = 18 feet

Question 3.

90 in. = ___ ft ___ in.

Answer:

The given unit is: Inches

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Inch = \(\frac{1}{12}\) feet

So,

90 inches = 90 × \(\frac{1}{12}\) feet

= 7 R 6

= 7 feet 6 inches

Hence, from the above,

We can conclude that

90 inches = 7 feet 6 inches

**Math talk**

**Mathematical Processes**

**Explain how you know to measure it.**

**Practice: Copy and Solve Convert.**

Question 4.

60 in. = __ ft

Answer:

The given unit is: Inches

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 inch = \(\frac{1}{12}\) feet

So,

60 inches = 60 × \(\frac{1}{12}\) feet

= 5 feet

Hence, from the above,

We can conclude that

60 inches = 5 feet

Question 5.

__ ft = 7 yd

Answer:

The given unit is: yard

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Yard = 3 feet

So,

7 yards = 7 × 3 feet

= 21 feet

Hence, from the above,

We can conclude that

21 feet = 7 yards

Question 6.

4 mi = ___yd

Answer:

The given unit is: Miles

The conversion unit must be: Yards

Now,

From the given table,

We can observe that

1 mile = 1,760 yd

So,

4 miles = 4 × 1,760 yd

= 7,040 yd

Hence, from the above,

We can conclude that

4 miles = 7,040 yards

Question 7.

120 in. = __ ft

Answer:

The given unit is: Inches

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Inch = \(\frac{1}{12}\) feet

So,

120 inches = 120 × \(\frac{1}{12}\)

= 10 feet

Hence, from the above,

We can conclude that

120 inches = 10 feet

Question 8.

46 ft = __ yd __ft

Answer:

The given unit is: Feet

The conversion unit must be: Yards

Now,

From the given table,

We can observe that

1feet = \(\frac{1}{3}\) yd

So,

46 feet = 46 × \(\frac{1}{3}\) yd

= 15 R 1

= 15 yards 1 feet

Hence, from the above,

We can conclude that

46 feet = 15 yards 1 feet

Question 9.

42 yd = __ ft

Answer:

The given unit is: yards

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Yard = 3 feet

So,

42 yards = 42 × 3 feet

= 126 feet

Hence, from the above,

We can conclude that

42 yards = 126 feet

**Use Symbols Compare. Write <> or =.**

Question 10.

8 ft 3yd

Answer:

The given units are: Feet, Yard

Now,

The given table is:

Now,

From the given table,

We can observe that

3 yards = 3 × 3 feet

= 9 feet

So,

8 feet < 9 feet

Hence, from the above,

We can conclude that

Question 11.

2 mi 10,500 ft

Answer:

The given units are: Mile, Feet

Now,

The given table is:

Now,

From the given table,

We can observe that

2 miles = 2 × 5,280 feet

= 10,560 feet

So,

10,560 feet > 10,500 feet

Hence, from the above,

We can conclude that

Question 12.

3 yd 2 ft 132 in.

Answer:

The given units are: Yard, Feet, and Inch

Now,

The given table is:

Now,

From the given table,

We can observe that

3 yards 2 feet = (3 × 3 feet) + 2 feet

= 11 feet

= 11 × 12 inches

132 inches

So,

132 inches = 132 inches

Hence, from the above,

We can conclude that

Question 13.

**H.O.T.** **Representations** Make a table that shows the number of feet and inches in 1, 2, 3, and 4 yards. What do you notice about the relationship between the number of larger units and the number of smaller units as the length increases?

Answer:

It is given that

Make a table that shows the number of feet and inches in 1, 2, 3, and 4 yards.

Now,

The representation of the given values of yards in terms of feet and inches is:

Now,

From the above table,

We can observe that

As the length in yards inches,

The number of larger units increases as the multiples of 3

The number of smaller units increases as the multiples of 12

Hence, from the above,

We can conclude that

The number of larger units increases as the multiples of 3

The number of smaller units increases as the multiples of 12

**Problem Solving.**

Question 14.

**H.O.T. Multi-Step** Javon is helping his dad build a treehouse. He has a piece of trim that ¡s 13 feet long. How many pieces can Javon cut that is 1 yard long? How much of a yard will he have leftover?

Answer:

It is given that

Javon is helping his dad build a treehouse. He has a piece of trim that ¡s 13 feet long

Now,

The given table is:

Now,

From the given table,

We can observe that

1 feet = \(\frac{1}{3}\) yards

So,

13 feet = 13 × \(\frac{1}{3}\) yards

= 4 R 1

= 4 yards 1 foot

Hence, from the above,

We can conclude that

The number of pieces can Javon cut that is 1 yard long is: 4 pieces

The amount of a yard that Javon will have leftover is: 1 piece

Question 15.

**H.O.T. Multi-Step** Patty is building a rope ladder for a treehouse. She needs two 5-foot pieces of rope for the sides of the ladder. She needs 7 pieces of rope, each 18 inches long for the steps. How many feet of rope does Patty need to make the ladder? Write your answer as a mixed number and as a mixed measure in feet and inches.

Answer:

It is given that

Patty is building a rope ladder for a treehouse. She needs two 5-foot pieces of rope for the sides of the ladder. She needs 7 pieces of rope, each 18 inches long for the steps

Now,

We know that,

1 inch = \(\frac{1}{12}\) feet

So,

The number of feet of rope does Patty need to make the ladder = (The number of feet of the rope needed for the sides of the ladder) + (The number of feet of rope needed for the steps of the ladder)

= (2 × 5 feet) + (7 × 18 inches)

= 10 feet + 126 inches

= 10 feet + 126 × \(\frac{1}{12}\)

= 10 feet + 10 R 6

= 10 feet + 10 feet 6 inches

= 20 R 6

= 20 feet 6 inches

Hence, from the above,

We can conclude that

The number of feet of rope does Patty need to make the ladder is: 20 feet 6 inches

**Daily Assessment Task**

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

Question 16.

Kelly lives 2 miles from school. Harry lives closer to the school than Kelly. Which could be the distance that Harry lives from school?

(A) 3,800 yards

(B) 10,560 feet

(C) 10,600 feet

(D) 3,461 yards

Answer:

It is given that

Kelly lives 2 miles from school. Harry lives closer to the school than Kelly

Now,

The given table is:

Now,

From the above table,

We can observe that

2 miles = 2 × 5,280 feet (or) 2 × 1,760 yd

= 10,560 feet (or) 3,520 yd

Hence, from the above,

We can conclude that

The distance that Harry lives from school is:

Question 17.

Bart measured a piece of wood to be 9 feet long. How could he calculate the length of the wood in inches?

(A) 9 ÷ 12

(B) 9 × 12

(C) 12 + 9

(D) 12 ÷ 9

Answer:

It is given that

Bart measured a piece of wood to be 9 feet long

Now,

We know that,

1 inch = \(\frac{1}{12}\) feet

1 feet = 12 inches

So,

The length of the wood in inches = 9 × 12 inches

Hence, from the above,

We can conclude that

The length of the wood in inches is:

Question 18.

**Multi-Step** Aliesha has a 55-inch rope. Mike has a rope that is 17 inches long. what is the length of Mike’s rope?

(A) 1 yard

(B) 5 feet

(C) 2 yards

(D) 7 feet

Answer:

It is given that

Aliesha has a 55-inch rope. Mike has a rope that is 17 inches long

Now,

According to the given information,

The length of Mike’s rope = 55 + 17

= 72 inches

Now,

The given table is:

Now,

From the given table,

We can observe that

72 inches = 72 ×\(\frac{1}{12}\) feet

= 6 feet

6 feet = 6 × \(\frac{1}{3}\) yd

= 2 yards

Hence, from the above,

We can conclude that

The length of Mike’s rope is:

**Texas Test Prep**

Question 19.

Katy’s driveway is 120 feet long. How many yards long is Katy’s driveway?

(A) 60 yards

(B) 40 yards

(C) 20 yards

(D) 10 yards

Answer:

It is given that

Katy’s driveway is 120 feet long

Now,

We know that,

1 feet = \(\frac{1}{3}\) yards

So,

The length of Kathy’s driveway in yards = 120 × \(\frac{1}{3}\) yards

= 40 yards

Hence, from the above,

We can conclude that

The length of Kathy’s driveway in yards is:

### Texas Go Math Grade 5 Lesson 13.2 Homework and Practice Answer Key

**Convert.**

Question 1.

3 mi = __ yd

Answer:

The given unit is: Miles

The conversion unit must be: Yards

Now,

From the given table,

We can observe that

1 Mile = 1,760 Yards

So,

3 miles = 3 × 1,760 yards

= 5,280 yards

Hence, from the above,

We can conclude that

3 miles = 5,280 yards

Question 2.

72 in. = ___ ft

Answer:

The given unit is: Inches

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Inch = \(\frac{1}{12}\) feet

So,

72 inches = 72 × \(\frac{1}{12}\) feet

= 6 feet

Hence, from the above,

We can conclude that

72 inches = 6 feet

Question 3.

__ ft = 8 yd

Answer:

The given unit is: yards

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Yard = 3 feet

So,

8 yards = 8 × 3 feet

= 24 feet

Hence, from the above,

We can conclude that

24 feet = 8 yards

Question 4.

132 in. = __ ft

Answer:

The given unit is: Inches

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Inch = \(\frac{1}{12}\) feet

So,

132 inches = 132 × \(\frac{1}{12}\) feet

= 11 feet

Hence, from the above,

We can conclude that

132 inches = 11 feet

Question 5.

36 ft = __ yd

Answer:

The given unit is: Feet

The conversion unit must be: Yards

Now,

From the given table,

We can observe that

1 Feet = \(\frac{1}{3}\) yards

So,

36 feet = 36 × \(\frac{1}{3}\) yards

= 12 yards

Hence, from the above,

We can conclude that

36 feet = 12 yards

Question 6.

46 yd = __ ft

Answer:

The given unit is: yards

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Yard = 3 feet

So,

46 yards = 46 × 3 feet

= 138 feet

Hence, from the above,

We can conclude that

46 yards = 138 feet

Question 7.

15 ft = __ in.

Answer:

The given unit is: Feet

The conversion unit must be: Inches

Now,

From the given table,

We can observe that

1 Feet = 12 inches

So,

15 feet = 15 × 12 inches

= 180 inches

Hence, from the above,

We can conclude that

15 feet = 180 inches

Question 8.

__ ft = 24 yd 2 ft

Answer:

The given unit is: yards

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Yard = 3 feet

So,

24 yards 2 feet = (24 × 3 feet) + 2 feet

= 74 feet

Hence, from the above,

We can conclude that

74 feet = 24 yards 2 feet

Question 9.

__ ft = 7 mi

Answer:

The given unit is: Miles

The conversion unit must be: Feet

Now,

From the given table,

We can observe that

1 Mile = 5,280 feet

So,

7 miles = 7 × 5,280 feet

= 36,960 feet

Hence, from the above,

We can conclude that

36,960 feet = 7 miles

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

Question 10.

2 mi 3,526 yd

Answer:

The given units are: Mile, Yard

Now,

The given table is:

Now,

From the given table,

We can observe that

2 miles = 2 × 1,760 yards

= 3,520 yards

So,

3,520 yards < 3,526 yards

Hence, from the above,

We can conclude that

Question 11.

4 yd 13 ft

Answer:

The given units are: Yard, Feet

Now,

The given table is:

Now,

From the given table,

We can observe that

4 yards = 4 × 3 feet

= 12 feet

So,

12 feet < 13 feet

Hence, from the above,

We can conclude that

Question 12.

5 mi 26,300 ft

Answer:

The given units are: Mile, Feet

Now,

The given table is:

Now,

From the given table,

We can observe that

5 miles = 5 × 5,280 feet

= 26,400 feet

So,

26,400 feet > 26,300 feet

Hence, from the above,

We can conclude that

Question 13.

90 ft 32 yd

Answer:

The given units are: Feet, Yard

Now,

The given table is:

Now,

From the given table,

We can observe that

32 yards = 32 × 3 feet

= 96 feet

So,

90 feet < 96 feet

Hence, from the above,

We can conclude that

Question 14.

27 ft 324 in.

Answer:

The given units are: Feet, Inch

Now,

The given table is:

Now,

From the given table,

We can observe that

27 feet = 27 × 12 inches

= 324 inches

So,

324 inches = 324 inches

Hence, from the above,

We can conclude that

Question 15.

5 yd 2 ft 200 in.

Answer:

The given units are: yard, Feet, and Inch

Now,

The given table is:

Now,

From the given table,

We can observe that

5 yard 2 feet = (5 × 3 feet) + 2 feet

= 17 feet

17 feet = 17 × 12 inches

= 204 inches

So,

204 inches > 200 inches

Hence, from the above,

We can conclude that

**Problem Solving**

Question 16.

A prickly pear cactus is 1 yard tall. A yucca plant is 35 inches tall. Which plant is taller? Tell me how you know.

Answer:

It is given that

A prickly pear cactus is 1 yard tall. A yucca plant is 35 inches tall

Now,

The given table is:

Now,

From the given table,

We can observe that

1 yard = 3 feet

1 feet = 12 inches

So,

3 feet = 3 ×12 inches

= 36 inches

Now,

Since both the values of the heights have the same unit measures, compare both the heights

So,

36 inches > 35 inches

Hence, from the above,

We can conclude that

A prickly pear cactus is taller than a Yucca plant

Question 17.

The length of the Beecher family’s driveway is 20 yd. The length of their SUV is one-fourth the length of the driveway. How many feet long is the SUV?

Answer:

It is given that

The length of the Beecher family’s driveway is 20 yd. The length of their SUV is one-fourth the length of the driveway

Now,

We know that,

1 yard = 3 feet

So,

20 yards = 20 × 3 feet

= 60 feet

So,

The length of the Beecher’s family driveway is: 60 feet

Now,

According to the given information,

The length of their SUV = \(\frac{60 feet}{4}\)

= 15 feet

Hence, from the above,

We can conclude that

The length of the Beecher’s family’s SUV is: 15 feet

**Lesson Check**

**Texas Test Prep**

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

Question 18.

The length of a cruise ship is 1,092 feet. How many yards long is the cruise ship?

(A) 3,276 yards

(B) 91 yards

(C) 330 yards

(D) 364 yards

Answer:

It is given that

The length of a cruise ship is 1,092 feet

Now,

The given table is:

Now,

From the above table,

We can observe that

1 feet = \(\frac{1}{3}\) yards

So,

1,092 feet = 1,092 × \(\frac{1}{3}\)

= 364 yards

Hence, from the above,

We can conclude that

The length of the cruise ship in terms of yards is:

Question 19.

Nadia runs 8 miles each weekend. How many yards does Nadia run each weekend?

(A) 14,080 yards

(B) 42,240 yards

(C) 14,960 yards

(D) 220 yards

Answer:

It is given that

Nadia runs 8 miles each weekend

Now,

The given table is:

Now,

From the given table,

We can observe that

1 mile = 1,760 yards

So,

8 miles = 8 × 1,760 yards

= 14,080 yards

Hence, from the above,

We can conclude that

The number of yards does Nadia run each weekend is:

Question 20.

Since the 1980 eruption of Mount St. Helens in Washington state, the elevation of its summit is about 1,300 feet lower. How can you calculate the difference ¡n elevation in inches?

(A) 1,300 × 12

(B) 1,300 ÷ 12

(C) 1,300 × 3

(D) 1,300 – 12

Answer:

It is given that

Since the 1980 eruption of Mount St. Helens in Washington state, the elevation of its summit is about 1,300 feet lower

Now,

We know that,

1 feet = 12 inches

So,

The elevation of the summit in inches = 1,300 × 12

Hence, from the above,

We can conclude that

The elevation of the summit in inches is:

Question 21.

The height of the U.S. Capitol building from the ground to the top of the Statue of Freedom is 96 yards. The height of the Texas State Capitol building is greater than the U.S. Capitol. Which could be the height of the Texas State Capitol?

(A) 310 feet

(B) 288 feet

(C) 3,452 inches

(D) 3,420 inches

Answer:

It is given that

The height of the U.S. Capitol building from the ground to the top of the Statue of Freedom is 96 yards. The height of the Texas State Capitol building is greater than the U.S. Capitol

Now,

We know that,

1 yard = 3 feet

1 feet = 12 inches

So,

The height of the U.S. Capitol building = 96 × 3 feet

= 288 feet

= 288 × 12

= 3,456 inches

Hence, from the above,

We can conclude that

The height of the Texas State Capitol building is:

Question 22.

**Multi-Step** Tyler’s older brother Joseph is 5 feet 6 inches tall. Joseph is 16 inches taller than Tyler. How tall is Tyler?

(A) 4 ft 2 in.

(B) 4 ft

(C) 6 ft 10 in.

(D) 6 ft 4 in.

Answer:

It is given that

Tyler’s older brother Joseph is 5 feet 6 inches tall. Joseph is 16 inches taller than Tyler

Now,

We know that,

1 feet = 12 inches

So,

The height of Joseph = 5 feet 6 inches

= (5 × 12) + 6

= 60 + 6

= 66 inches

Now,

According to the given information,

The height of Tyler = 66 – 16

= 50 inches

= 4 feet 2 inches

Hence, from the above,

We can conclude that

The height of Tyler is:

Question 23.

**Multi-Step** Calvin fishes from a dock that is 85 inches long. Which of the following is equal to 85 inches?

(A) 2 yd 12 ft 1 in.

(B) 2 yd 1 ft 1 in.

(C) 1 yd 3 ft 1 in.

(D) 1 yd 4 ft 3 in.

Answer:

It is given that

Calvin fishes from a dock that is 85 inches long.

Now,

The given table is:

Now,

We know that,

1 inch = \(\frac{1}{12}\) feet

1 yard = 3 feet

So,

85 inches = 85 × \(\frac{1}{12}\)

= 7 R 1

= 7 feet 1 inch

= 2 yards 1 feet 1 inch

Hence, from the above,

We can conclude that

The measurement that is equal to 85 inches is: