CONVERTING CUSTOMARY UNITS

Important Stuff

Larger Unit to Smaller Unit -----> Multiply 

Smaller to Larger Unit -----> Divide 

Example : 

1 minute > 1 second

Minutes to Seconds -----> Multiply by 60

Seconds to Minutes -----> Divide by 60

Practice Problems

Problem 1 :

Convert 2 feet into inches. 

Solution : 

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

2 feet  =  2 ⋅ 12 inches 

2 feet  =  24 inches

Hence, 2 feet is equal to 24 inches.

Problem 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 ⋅ 36 inches

3.5 yards  =  126 inches

Hence, 3.5 yards is equal to 126 inches.

Problem 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 

30 inches  =  2.5 feet

Hence, 30 inches is equal to 2.5 feet.

Problem 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 

5280 yards  =  3 miles

Hence, 5280 yards is equal to 3 miles.

Problem 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 

24 feet  =  8 yards 

Hence, 24 feet is equal to 8 yards

Problem 6 :

Convert 2 pounds into ounces. 

Solution : 

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

2 pounds  =  2 ⋅ 16 ounces 

2 pounds  =  32 ounces

Hence, 2 pounds is equal to 32 ounces.

Problem 7 :

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 ⋅ 2000 pounds

3.5 tons  =  7000 pounds

Hence, 3.5 tons is equal to 7000 pounds.

Problem 8 :

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 ⋅ 2000 pounds 

0.5 tons  =  1000 pounds

0.5 tons  =  1000 ⋅ 16 ounces

0.5 tons  =  16000 ounces

Hence, 0.5 tons is equal to 16000 ounces.

Problem 9 :

Convert 48 ounces into pounds. 

Solution : 

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

48 ounces  =  48 / 16 pounds 

48 ounces  =  3 pounds

Hence, 48 ounces is equal to 3 pounds. 

Problem 10 :

Convert 5000 pounds into tons 

Solution : 

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

5000 pounds  =  5000 / 2000 tons 

5000 pounds  =  2.5 tons

Hence, 5000 pounds is equal to 2.5 tons.

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and Venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6