SOLVE WORD PROBLEMS INVOLVING CONVERSIONS

Problem 1 :

How many feet are in 7 1/3 yards ?

Solution :

1 yard = 3 feet

Converting 7  1/3 as mixed fraction, we get

= 22/3 yards

22/3 yard = (22/3) x 3

= 22 feet

Problem 2 :

Which is the smaller unit of measurement,

foot or yard ?

Solution :

1 foot = 12 inches ----(1)

1 yard = 3 feet

1 yard = 3 ft = 3(12) ==> 36 inches ---(2)

So, the foot is the smaller unit.

Problem 3 :

How many feet are in 5 yards ?

Explain how you calculated your answer.

Solution :

1 yard = 3 feet

5 yard = 5 ×  3 feet

= 15 feet

So, 15 feet are in 5 yards.

Problem 4 :

Complete the table.

Solution :

1 yard = 3 feet

5 yard = 5 × 3 feet

= 15 feet

6 yard = 6 × 3 feet

= 18 feet

7 yard = 7 × 3 feet

= 21 feet

8 yard = 8 × 3 feet

= 24 feet

Problem 5 :

How many yards are equivalent to 30 feet ? Explain how you calculated your answer.

Solution :

1 yard = 3 feet

30 feet = 30/3

= 10 yards

So, 10 yards are equivalent to 30 feet.

Problem 6 :

Which is the larger unit of measurements, meter or centimeter ?

Solution :

Larger unit  is meter. 

Problem 7 :

Look at problem 5. How did you know which unit of measurement was larger ?

Solution :

1 meter = 100 centimeters

A centimeter is 100 times smaller than one meter.

Problem 8 :

How many centimeters are in x meters ?

Solution :

1 meter = 100 centimeters

x meter = x × 100 centimeters

x meter = 100x centimeters

Problem 9 :

Use your expression from problem 8. How many centimeters are in 2.7 meters ?

Solution :

1 meter = 100 centimeters

2.7 meters = 2.7 × 100 centimeters

= 270 centimeters

Problem 10 :

Write an expression to show how many meters are equivalent to x centimeters.

Solution :

1 meter = 100 centimeters

x meters = x × 100 centimeters

= 100x centimeters

So, x meters are equivalent to 100x centimeters.

Problem 11 :

Use your expression from problem 10. How many meters are equivalent to 400 centimeters ?

Solution :

1 meter = 100 centimeters

400 centimeters = 400/100

= 4 meters

So, 4 meters are equivalent to 400 centimeters.

Problem 12 :

Complete the table.

Solution :

1 meter = 100 centimeters

200 centimeters = 200/100

= 2 meters

270 centimeters = 270/100

= 2.7 meters

3 meters = 3 × 100 centimeters

= 300 centimeters

3.2 meters = 3.2 × 100 centimeters

= 320 centimeters

1 meter = 100 centimeters

400 centimeters = 400/100

= 4 meters

480 centimeters = 480/100

= 4.8 meters

Problem 13 :

How many meters are equivalent to 175 centimeters ?

Solution :

1 meter = 100 centimeters

175 centimeters = 175/100

= 1.75 meters

Problem 14 :

How many centimeters are in 2.37 meters ?

Solution :

1 meter = 100 centimeters

2.37 meters = 2.37 × 100

= 237 meters