CONVERT RATES AND MEASUREMENTS CUSTOMARY UNITS

The chart given below can be used to convert rates and measurements into customary units. 

To convert smaller units into larger units, we have to divide.

To convert larger unit into smaller unit, we have to multiply.

Customary Units of Length

Example 1 :

Convert 2 feet into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 feet = 2 x 12 inches

= 24 inches

Example 2 :

Convert 3.5 yards into inches.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 yards = 3.5 x 36 inches

= 126 inches

Example 3 :

Convert 30 inches into feet.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

30 inches = 30/12 feet

= 2.5 feet

Example 4 :

Convert 5280 yards into miles.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5280 yards = 5280/1760 miles

= 3 miles

Example 5 :

Convert 24 feet into yards.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 feet = 24/3 yards

= 8 yards

Customary Units of Weight

Example 1 :

Convert 2 pounds into ounces.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pounds = 2 x 16 ounces

= 32 ounces

Example 2 :

Convert 3.5 tons into pounds.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 tons = 3.5 x 2000 pounds

= 7000 pounds

Example 3 :

Convert 0.5 tons into ounces.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

0.5 tons = 0.5 x 2000 pounds

= 1000 pounds

= 1000 x 16 ounces

= 16000 ounces

Example 4 :

Convert 48 ounces into pounds.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

48 ounces = 48/16 pounds

= 3 pounds

Example 5 :

Convert 5000 pounds into tons.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5000 pounds = 5000/2000 tons

= 2.5 tons

Customary Units of Capacity

Example 1 :

Convert 2 pints into cups.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pints = 2 x 2 cups

= 4 cups

Example 2 :

Convert 3.5 quarts into cups.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 quarts = 3.5 x 4 cups

= 14 cups

Example 3 :

Convert 32 cups into quarts.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

32 cups = 32/4 quarts

= 8 quarts

Example 4 :

Convert 256 cups into gallons.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

256 cups = 256/16 gallons

= 16 gallons

Example 5 :

Convert 24 quarts into gallons.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 quarts = 24/4 gallons

= 6 gallons

Customary Units of Time

Example 1 :

Convert 2 minutes into seconds. 

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 minutes = 2 x 60 seconds

= 120 seconds

Example 2 :

Convert 3.5 hours into minutes.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 hours = 3.5 x 60 minutes

= 210 minutes

Example 3 :

Convert 3 days into minutes.

Solution :

Here, we convert bigger unit into smaller unit unit. So we have to multiply.

3 days = 3 x 24 hours

= 72 hours

= 72 x 60 minutes

= 4320 minutes

Example 4 :

Convert 480 seconds into minutes.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

480 seconds = 480/60 minutes

= 8 minutes

Example 5 :

Convert 112 days into weeks.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

112 days = 112/7 weeks

= 16 weeks

Example 6 :

Complete all the problems :

a) 5 feet 2 inches = _____ inches

b) 8 m 12 cm = ___ cm

c) 7085 g = ___ kg ___ g

d) 2 tons = ____ pounds

e) 6 yards = ____ feet

Solution :

a) 5 feet 2 inches =

1 feet = 12 inches

5 feet = 5 x 12 = 60 inches

60 + 12

= 72 inches

b) 8 m 12 cm = ___ cm

1 m = 100 cm

8 m = 800 cm

800 + 12

= 812 cm

c) 7085 g = ___ kg ___ g

1 kg = 1000 grams

7085 grams = 7000 grams + 85 grams

= 7 kg 85 grams

d) 2 tons = ____ pounds

1 ton = 2204.62 pounds

2 ton = 2204.62 x 2

= 4409.24 pounds

e) 6 yards = ____ feet

1 yard = 3 feet

6 yards = 3 x 6

= 18 feet

Example 7 :

Divide 

18 tons 42 pounds divided by 3 = _____ tons _____ pounds

Solution :

18 tons/3 ==> 6 tons

42 pounds/3 ==> 14 pounds

So, the answer is 6 tons and 14 pounds.

Example 8 :

Divide 

15 kg 30 g divided by 5 = ____ kg ___ g

Solution :

15 kg/5 ==> 3 kg

30 g/5 ==> 6 g

So, the answer is 3 kg 6 grams

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