# EXPRESSING RATIONAL NUMBERS AS DECIMALS WORKSHEET

## About "Expressing rational numbers as decimals worksheet"

Expressing rational numbers as decimals worksheet :

Worksheet on expressing rational numbers as decimals is much useful to the students who would like to practice problems on rational numbers.

## Expressing rational numbers as decimals worksheet - Problems

1.  Write the fraction 1/4 as a decimal.

2.  Write the fraction 1/3 as a decimal.

3.  Write 96/200 as a decimal.

4.  Write 2/5 as a decimal.

5.  Write 48/5 as a decimal.

6.  Write 1/8 as a decimal.

## Expressing rational numbers as decimals worksheet - Solution

Problem 1 :

Write the fraction 1/4 as a decimal.

Solution :

Hence, the decimal equal to the fraction 1/4 is 0.25

Problem 2 :

Write the fraction 1/3 as a decimal.

Solution :

Hence, the decimal equal to the fraction 1/3 is 0.333......

or

## Making the denominator as a multiple of 10 or 100

Problem 3 :

Write 96/200 as a decimal.

Solution :

Step 1 :

In the fraction 96/200, the denominator 200 is a multiple of 100.

So we can change the denominator 200 as 100 by dividing both numerator and denominator by 2.

96/200  =  (96÷2) / (200÷2)  =  48/100

Step 2 :

In 48/100, since the denominator is 100, 48/100 can be easily converted to decimal.

In the numerator 48, there is no decimal point. Let us assume there is a decimal at the end of 48, that is (48.)

Since we divide 48 by 100 and there are two zeros in 100, we have to move the decimal point in (48.) two digits to the left.

So, we have

48/100  =  0.48

Hence, the decimal equal to the fraction 96/200 is 0.48

Problem 4 :

Write 2/5 as a decimal.

Solution :

Step 1 :

In the fraction 2/5, the denominator 5 is a factor of 10. So we can change the denominator 5 as 10 by multiplying both numerator and denominator by 2.

2/5  =  (2x2) / (5x2)  =  4/10

Step 2 :

In 4/10, since the denominator is 10, 4/10 can be easily converted to decimal.

In the numerator 4, there is no decimal point. Let us assume there is a decimal point after 4, that is (4.).

Since we divide 4 by 10 and there is only one zero in 10, we have to move the decimal point in (4.) one digit to the left.

So, we have

4/10  =  0.4

Hence, the decimal equal to the fraction 2/5 is 0.4

Problem 5 :

Write 48/5 as a decimal.

Solution :

Step 1 :

In the fraction 48/5, the denominator 5 is a factor of 10. So we can change the denominator 5 as 10 by multiplying both numerator and denominator by 2.

48/5  =  (48x2) / (5x2)  =  96/10

Step 2 :

In 96/10, since the denominator is 10, 96/10 can be easily converted to decimal.

In the numerator 96, there is no decimal point. Let us assume there is a decimal point after 96, that is (96.).

Since we divide 96 by 10 and there is only one zero in 10, we have to move the decimal point in (96.) one digit to the left.

So, we have

96/10  =  9.6

Hence, the decimal equal to the fraction 48/5 is 9.6

Problem 6 :

Write 1/8 as a decimal.

Solution :

In the fraction 1/8, the denominator 8 is not a factor or multiple of 10 or 100.

And also, we can not change the denominator 8 as a multiple of 10 or 100.

So, use long division to divide the numerator by the denominator.

Hence, the decimal equal to the fraction 1/8 is 0.125

After having gone through the stuff given above, we hope that the students would have understood "Expressing rational numbers as decimals worksheet".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear 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 fractrions

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