Word Problems
Estimation/Standard Alg
Conversion's
Conversion's Pt.2
Conversion Word Problems
100

2.42 × 12 ≈ ______ × ______ = _______

Estimation: 24

Answer: 2,904

100

Convert years to days.

7 years = ___________ × ( ___________ year)


7 years = _______7____ × ( ____1_______ year)

= ______7_____ × ( ___   365________ days)

= ______2,555_____ days

200

Jeffery bought 203 sheets of stickers. Each sheet has a dozen stickers. He gave away 907 stickers to his family and friends on Valentine’s Day. 

How many stickers does Jeffery have remaining?

1529 stickers left. 

(203 x 12=2436.... 2436-907=1529) 

200

If the product of 485 × 35 is 16,975, what is the product of 485 × 3.5? 

How do you know?

485 x 35 = 16,975 which means if you multiply 485 x 3.5 tenths, the product is 1697.5. 

Decimal moves depending on place value. 

200

Convert kilograms to grams.

3.09 kg= ?

3.09 x 1kg

3.09 x 1,000kg

Anwser: 3,090kg 

200

Convert quarts to gallons.

36 quarts = ___________ × ( 1 quart)

 36 quarts  x 1/4 quarts 

36/4

Answer: 9

Don't forget, when you see a fraction in your conversion equation.. you are dividing the numerator and the denominator.

200

Tia cut a 4 meters 8 centimeters wire into 10 equal pieces. Marta cut a 540 centimeters wire into 9 equal pieces. 

How much longer is one of Marta’s wires than one of Tia’s?

Answer: One of Marta's wires is 19.2 cm longer than one of Tia's.

When completing conversion word problems, make sure to read the UNITS and the [key words : equal, times the sum, more than etc]

300

Bao saved $179 a month. He saved $145 less than Ada each month. 

How much would Ada save in three and a half years?

Ada would save 13,608 in 3 and a half years. 

(There are a total of 42 months in 3 1/2 years. Multiply that by 179 to figure out the product.)

300

Estimate the product. Solve using an area model and the standard algorithm. 

Remember to express your products in standard form.

33.2 × 21 ≈  33 x 20 = 66 : Estimate 

 

Answer : 697.2


300

A marker is 0.13 meters long. 

What is the length in millimeters?

0.13 x 1 meter

0.13 x 1,000mm

Answer: 130mm

300

Convert meters to kilometers.

2,485 m = ___________ × ( ___________ m)

2,485 x 0.001

Answer: 2.485

When the conversion is flipped around, you divide always remember that. Also, the decimal moves as the place value does. Ex: If the decimal is in the thousandths place, the answer should be as well.

300

Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all,

how many gallons of paint will be used to paint the inside of the barn?

Answer: 11 Gallons 

107-19= 88

88 divided by 2= 44 quarts

44 quarts x 1/4 gallon = 44/4

Answer: 11 Gallons 

400

Eric walks 2.75 miles to and from work every day for an entire year. How many miles did he walk?

Eric walked 2007.5 miles per year. 

There are approximately 365 days in a year. Multiply that by 2.75 to get the product. 

400

371.23 × 53= 

Anwser: 19,675.19

Dropping the decimal depending on the place value will help you with this question. 

400

A jug of juice holds 8 cups. 

Convert 8 cups to pints.

8 x 1 cup

8 x 1/2 cup

Answer: 8/2 = 4 cups

One cup makes 1/2 pint, so 8 cups is the same as 4 pints.

400

String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a decorative bottle. 

Find the total length of string needed for 17 identical decorative bottles. Express your answer in meters.

Answer: The total length of string needed for 17 bottles is 35.7 meters.

500

Juwad picked 30 bags of apples on Monday and sold them at his fruit stand for $3.45 each. The following week he picked and sold 26 bags.

a. How much money did Juwad earn in the first week?

b. How much money did he earn in the second week?

c. How much did Juwad earn selling bags of apples these two weeks?

A. Juwad earned 103.50 in the first week. (Multiply 3.45 by 30)

B. He earned 89.70 in the second week. (Multiply 3.45 by 26) 

C. Juwad earned 193.20 in two weeks ( Add up the sums) 

500

Estimate. Then, solve using the standard algorithm.

667 × 1.25 ≈ _______ × _______ = _______

Answer: 833.75

M
e
n
u