# DECIMAL FRACTIONS

Summary of decimal fraction

Solved exercise of decimal fraction

# Summary

Decimal fraction is a fraction whose denominator is 10 or a multiple of 10 like 100, 1,000, 10,000, etc.

Decimals can also be used to write numbers between any two whole numbers.

Example

While measuring the length of a table with a metre scale, the length may not be a whole number, it may lie between two graduations on the metre scale. In such situations, the decimal numbers are used.

From the conservation of units we know

1 km = 1000 m

1 m = 100 cm

1 cm = 10 mm

Now, let the length of the tabletop be 2 m and 75 cm, and then it can be represented as

(2 + 75/100) m.

# Exercise

Exercise 4.1

Read the following decimals and write them in words

1) 0.5   =  zero point five

2)0.13  =  zero point one three

3)1.7    =  one point seven

4)5.21  =  five point two one

II. Write the numeral representing each of the following

1) Zero point one-two      = 0.12

2) Six point eight    = 6.8

3) Ten point five     =10.5

4) Four point zero two     =4.02

5) Six point eight four       =6.84

6) One hundred eight point zero six     =108.06

III. Fill in the blanks.

1)8 mm     =    0.8      cm

1cm= 10mm

8mm=8/10= 0.8cm

2)75mm=7.5 cm

1cm = 10mm

75mm= 75/10=7.5cm

3)8cm 5mm=8.5 cm

1cm=10mm

5mm=5/10=0.5

8+ 0.5 =8.5 cm

4) 525mm=5.2 cm

1mm =10/10

525mm = 525/10 =52.5cm

IV. Fill in the blanks.

1. 8 cm =0.08m
2. 72 cm = 0.72m
3. 375 cm = 3.75m
4. 4m 80 cm =4.08m
5. 15 m 6 cm =15.06m

V. Write in decimal fractions

1) 75 paise =Rs 0.75

2) 10 rupees and 25 paise =Rs10.25

3) 870 paise =8.70

4) 782 rupees and ten paise =Rs 782.10

5) 2050 paise = Rs 20.50

Example

To write the decimal fraction 1.42 in the form of fraction.

1) Write the number without decimal point that forms the numerator → 142

2) Count the decimal places in the decimal fraction i.e, 2

3) Write 1 followed by two zeroes in denominator → 100

I.Write the following fractions as decimal fractions.

1)8/10 =0.8

2)7/10 =0.7

3)6/10 =0.6

4)16/16 =1.6

5)83/10 = 8.3

6) 7/100 =0.07

7) 72/100 =0.72

8) 861/100 =8.61

9)162/10 =16.2

10) 141/100=1.41

11) 1461/100=14.61

12) ½  =0.5

13) ¾ =0.75

14)2/5 =0.4

15)7/20 =0.35

16)38/50 =0.76

17)17/25 =0.65

18)13/20 =0.65

19)8/25=0.32

II.Write the following decimal fractions as fractions

1)0.7

7

10

2) 0.02

2

100

3) 3.8

38

10

4)14.5

145

10

5)0.56

56

100

6)8.03

803

100

7)14.57

1457

100

8)85.4

854

10

9)147.5

1475

10

10)8.5

85

10

11)85.61

8561

100

12)6.84

684

100