## Engage NY Eureka Math 5th Grade Module 2 Lesson 14 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 14 Problem Set Answer Key

Question 1.

Solve. The first one is done for you.

a. Convert days to weeks.

28 days = 28 × (1 day)

= 28 × (\(\frac{1}{7}\) week)

= \(\frac{28}{7}\) week

= 4 weeks

Answer:

28 days = 4 weeks,

Explanation:

In the above-given question,

given that,

28 days = 28 x (1 day)

28 x (\(\frac{1}{7}\) week)

\(\frac{28}{7}\) week.

28/7 = 4.

b. Convert quarts to gallons.

20 quarts = ____20_______ × ( 1 quart)

= ______20_____ × (\(\frac{1}{4}\) gallon)

= _____20/4______ gallons

= _____5______ gallons

Answer:

20 quarts = 5 gallons,

Explanation:

In the above-given question,

given that,

20 quarts = 28 x (1 gallon)

20 x (\(\frac{1}{4}\) gallon)

\(\frac{20}{4}\) gallon.

20/4 = 5.

c. Convert centimeters to meters.

920 cm = ___920________ × ( ____1_______ cm)

= ____920_______ × ( ____0.01_______ m)

= _____9.2______ m

Answer:

920 cm = 92000 m.

Explanation:

In the above-given question,

given that,

920 cm = 920 x (1 m)

920 x (\(\frac{1}{0.01}\) meter)

\(\frac{920}{0.01}\) meter.

920/0.01 = 92000.

d. Convert meters to kilometers.

1,578 m = _____1578______ × ( _____1______ m)

= ______1578_____ × (0.001 km)

= ___1578000________ km

Answer:

1578 m = 1578000 km,

Explanation:

In the above-given question,

given that,

1578 = 1578 x (1 km)

1578 x (\(\frac{1}{0.001}\) kilometers)

\(\frac{1}{0.001}\) kilometers.

1578/0.001 = 1578000.

e. Convert grams to kilograms.

6,080 g = 60,80,000 kg.

Answer:

6080 g = 60,80,000,

Explanation:

In the above-given question,

given that,

6080 g = 6080 x (1 gram)

6080 x (\(\frac{1}{0.001}\) kilograms)

\(\frac{6080}{0.001}\) kilograms.

6080/0.001 = 60,80,000.

f. Convert milliliters to liters.

509 mL = 509000 liters.

Answer:

509 ml = 509000 liters,

Explanation:

In the above-given question,

given that,

509 ml = 509 x (1 ml)

509 x (\(\frac{1}{0.001}\) liters)

\(\frac{509}{0.001}\) liters.

509/0.001 = 509000 liters.

Question 2.

After solving, write a statement to express each conversion. The first one is done for you.

a. The screen measures 24 inches. Convert 24 inches to feet.

24 inches = 24 × (1 inch)

= 24 × (\(\frac{1}{12}\)feet)

= \(\frac{24}{12}\) feet

= 2 feet

The screen measures 24 inches or 2 feet.

Answer:

24 inches =2 feet,

Explanation:

In the above-given question,

given that,

24 inches = 24 x (1 inch)

24 x (\(\frac{1}{0.0833}\) feet)

\(\frac{24}{0.0833}\) feet.

24/0.0833 = 288.11 feet.

b. A jug of syrup holds 12 cups. Convert 12 cups to pints.

Answer:

12 cups = 24 pints,

Explanation:

In the above-given question,

given that,

12 cups = 12 x (cup)

12 x (\(\frac{1}{0.5}\) pints)

\(\frac{12}{0.5}\) pints.

12/0.5 = 24.

c. The length of the diving board is 378 centimeters. What is its length in meters?

Answer:

378 cm = 37800 meters,

Explanation:

In the above-given question,

given that,

378 cm = 378 x (1 cm)

378 x (\(\frac{1}{0.01}\) meters)

\(\frac{378}{0.01}\) meters.

378/0.01 = 37800 meters.

d. The capacity of a container is 1,478 milliliters. Convert this to liters.

Answer:

1478 ml = 1478000 liters,

Explanation:

In the above-given question,

given that,

1478 ml = 1478 x (1 ml)

1478 x (\(\frac{1}{0.001}\) liters)

\(\frac{1478}{0.001}\) liters.

1478/0.001 = 1478000 liters.

e. A truck weighs 3,900,000 grams. Convert the truck’s weight to kilograms.

Answer:

3900000 g = 3.9 kilograms.

Explanation:

In the above-given question,

given that,

3900000 g = 3900000 x (1 gram)

3900000 x (\(\frac{1}{0.001}\) kilograms)

\(\frac{3900000}{0.001}\) kilograms.

3900000/0.001 = 3.9 kilograms.

f. The distance was 264,040 meters. Convert the distance to kilometers.

Answer:

264,040 m = 264040000km,

Explanation:

In the above-given question,

given that,

264,040 = 264,040 x (1 km)

264,040 x (\(\frac{1}{0.001}\) kilometers)

\(\frac{164040}{0.001}\) kilometers.

264040/0.001 = 264040000.

### Eureka Math Grade 5 Module 2 Lesson 14 Exit Ticket Answer Key

Question 1.

Convert days to weeks by completing the number sentences.

35 days = _____35______ × ( ____1_______ day)

= _______35____ × ( _____7______ week)

= 35/7.

= 5.

Answer:

35 days = 5 weeks,

Explanation:

In the above-given question,

given that,

35 days = 35 x (1 day)

35 x (\(\frac{1}{7}\) week)

\(\frac{35}{7}\) week.

35/7 = 5.

Question 2.

Convert grams to kilograms by completing the number sentences.

4,567 grams = ____4567_______ × __1__gram_______

= __4567_________ × _____0.001 kg______

=4567/0.001

=4567000 kg

Answer:

4567 g = 4567000 kilograms.

Explanation:

In the above-given question,

given that,

4567 g = 4567 x (1 gram)

4567 x (\(\frac{1}{0.001}\) kilograms)

\(\frac{4567}{0.001}\) kilograms.

4567/0.001 = 4567000 kilograms.

### Eureka Math Grade 5 Module 2 Lesson 14 Homework Answer Key

Question 1.

Solve. The first one is done for you.

a. Convert days to weeks.

42 days = 42 × (1 day)

= 42 × (\(\frac{1}{7}\) week)

= \(\frac{42}{7}\) week

= 6 weeks

Answer:

42 days = 6 weeks,

Explanation:

In the above-given question,

given that,

42 days = 42 x (1 day)

42 x (\(\frac{1}{7}\) week)

\(\frac{42}{7}\) week.

42/7 = 6.

b. Convert quarts to gallons.

36 quarts = ______36_____ × ( 1 quart)

= ______36_____ × (1/4 “gallon” )

= ___________ gallons

= ___________ gallons

Answer:

36 quarts = 9 gallons,

Explanation:

In the above-given question,

given that,

36 quarts = 36 x (1 gallon)

36 x (\(\frac{36}{4}\) gallon)

\(\frac{36}{4}\) gallon.

36/4 = 9.

c. Convert centimeters to meters.

760 cm = _____760______ × ( ___1________ cm)

= _____760______ × ( ___0.01________ m)

= ___768000________ m

Answer:

760 cm = 768000 meters,

Explanation:

In the above-given question,

given that,

760 cm = 760 x (1 cm)

760 x (\(\frac{1}{0.01}\) meters)

\(\frac{760}{0.01}\) meters.

760/0.01 = 76000 meters.

d. Convert meters to kilometers.

2,485 m = ____2485_______ × ( ____1_______ m)

= ___2485________ × (0.001 km)

= ____2485000_______ km

Answer:

2,485 m = 2485,000km,

Explanation:

In the above-given question,

given that,

2485 = 2485 x (1 km)

2485 x (\(\frac{1}{0.001}\) kilometers)

\(\frac{2485}{0.001}\) kilometers.

2485/0.001 = 24,85,000.

e. Convert grams to kilograms.

3,090 g = 3090000 kg.

Answer:

3090 g = 3090000 kilograms.

Explanation:

In the above-given question,

given that,

3090 g = 3090 x (1 gram)

3090 x (\(\frac{1}{0.001}\) kilograms)

\(\frac{3090}{0.001}\) kilograms.

3090/0.001 = 3090000 kilograms.

f. Convert milliliters to liters.

205 mL = 205000 liters.

Answer:

205 ml = 205000 liters,

Explanation:

In the above-given question,

given that,

205 ml = 205 x (1 ml)

205 x (\(\frac{1}{0.001}\) liters)

\(\frac{205}{0.001}\) liters.

205/0.001 = 205000 liters.

Question 2.

After solving, write a statement to express each conversion. The first one is done for you.

a. The screen measures 36 inches. Convert 36 inches to feet.

36 inches = 36 × (1 inch)

= 36 × (\(\frac{1}{12}\) feet)

= \(\frac{36}{12}\) feet

= 3 feet

The screen measures 36 inches or 3 feet.

Answer:

36 inches = 432.17 feet,

Explanation:

In the above-given question,

given that,

36 inches = 36 x (1 inch)

36 x (\(\frac{1}{0.0833}\) feet)

\(\frac{36}{0.0833}\) feet.

36/0.0833 = 432.17 feet.

b. A jug of juice holds 8 cups. Convert 8 cups to pints.

Answer:

8 cups = 16 pints,

Explanation:

In the above-given question,

given that,

8 cups = 8 x (cup)

8 x (\(\frac{1}{0.5}\) pints)

\(\frac{8}{0.5}\) pints.

8/0.5 = 16.

c. The length of the flower garden is 529 centimeters. What is its length in meters?

Answer:

529 cm = 52900 meters,

Explanation:

In the above-given question,

given that,

529 cm = 529 x (1 cm)

529 x (\(\frac{1}{0.01}\) meters)

\(\frac{529}{0.01}\) meters.

529/0.01 = 52900 meters.

d. The capacity of a container is 2,060 milliliters. Convert this to liters.

Answer:

2060 ml = 2060000 liters,

Explanation:

In the above-given question,

given that,

2060 ml = 2060 x (1 ml)

2060 x (\(\frac{1}{0.001}\) liters)

\(\frac{2060}{0.001}\) liters.

2060/0.001 = 2060000 liters.

e. A hippopotamus weighs 1,560,000 grams. Convert the hippopotamus’ weight to kilograms.

Answer:

1560000 g = 1.56 kilograms.

Explanation:

In the above-given question,

given that,

1560000 g = 1560000 x (1 gram)

1560000 x (\(\frac{1}{0.001}\) kilograms)

\(\frac{1560000}{0.001}\) kilograms.

1560000/0.001 = 1.56 kilograms.

f. The distance was 372,060 meters. Convert the distance to kilometers.

Answer:

372060 m = 372060,000km,

Explanation:

In the above-given question,

given that,

372060 = 372060 x (1 km)

372060 x (\(\frac{1}{0.001}\) kilometers)

\(\frac{372060}{0.001}\) kilometers.

372060/0.001 = 372060,000.