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Decimal Fraction: Introduction
Std. V : Maths.
DECIMALS FRACTIONINTRODUCTION
Decimal Fraction: Introduction
Std. V : Maths.
FRACTIONS
A fraction is a number which represents a part of whole.
In all fractions such as the number below the
division line is called the denominator (or divisor). The number
above the division line is the numerator (or dividend). It tells us
how many parts are taken.
1
2
2
5
13
100, ,
Decimal Fraction: Introduction
Std. V : Maths.
Decimal fraction
, , , , , , , , ,
A fraction which has 10 or 100, 1000, 10, 000 or such multiples of 10 in the denominator is called a decimal fraction.
Sr.No.
Decimal fraction
Writing in the decimal system
Tens Units Tenths Hundredths Thousandths
167081000
6 7 0 8
25091000
0 5 0 9
381000
0 0 0 8
Decimal Fraction: Introduction
Std. V : Maths.
Q. Which of the following are decimal fractions?
18 17
(1)
Ans. No
(2) 25 10
Ans. Yes
Decimal Fraction: Introduction
Std. V : Maths.
(3) 41100
(4) 235 50
(5) 131000
1100
(7) 85 34
(8) 14 35
(2) 25 10
(3) 41100
(5) 131000
(6) 1100
?
(6)
Ans.
Decimal Fraction: Introduction
Std. V : Maths.
14 10 10 14
1
10-
4
.
0
4
4 0-
0 0
= 1.4
Converting fractions to decimal point.
Decimal Fraction: Introduction
Std. V : Maths.
Q. Write the following fractions using the decimal point.(1) 14
10
Ans. 14 10
= 1.4
(2) 582 10
Ans. = 58.2 582 10
(3) 39 10
Ans. 39 10
= 3.9
(4) 1234 10
Ans. = 123.41234 10
(5) 7 10
Ans. 7 10
= 0.7
(6) 5 10
Ans. 5 10
= 0.5
Exercise - 52
Decimal Fraction: Introduction
Std. V : Maths.
Sr.No.
Decimal fraction
Writing in the decimal system
Tens Units Tenths Hundredths Thousandths
167081000
6 7 0 8
25091000
0 5 0 9
381000
0 0 0 8
Decimal Fraction: Introduction
Std. V : Maths.
Decimal Fraction: Introduction
Std. V : Maths.
Q. Write the following fractions in the decimal form using the decimal point.
Ans. (1) 13100
= 0.13
(2) 3781000
= 0.378
(3) 5100
= 0.05
(4) 378100
= 3.78
(5) 161000
= 0.016
(6) 21000
= 0.002
(7) 5004100
= 5.004
(10)534100
= 5.34
(11) 609100
= 6.09
Exercise - 53
Decimal Fraction: Introduction
Std. V : Maths.
167081000
= 6.708
25091000
= 0.509
381000
= 0.008
Decimal Fraction: Introduction
Std. V : Maths.
Sr. No. Fraction Reading of the fraction
1. 804.5 Eight hundred four point five.
2. 2.009
3. 0.916
4. 44.04
5. 0.03
Two point zero zero nine.
Zero point nine one six.
Forty four point zero four.
Zero point zero three / point zero three
Reading a decimal fraction
Decimal Fraction: Introduction
Std. V : Maths.
1. Write the following numbers in words.
(1) 4.321 : Four point three two one
(2) 75.01: Seventy-five point zero one
(3) 606.6: Six hundred six point six
(4) 94.50: Ninety-four point five zero
(5) 5.05 : Five point zero five
(6) 8.002 : Eight point zero zero two.
(7) 57.046 : Fifty seven point zero four six.
(8) 14.05 : Fourteen point zero five
(9) 702.7 : Seven hundred two point seven.
(10)0.004 : Zero point zero zero four.
Exercise - 54
Decimal Fraction: Introduction
Std. V : Maths.
2. Write the following numbers using the decimal point(1) Sixty-eight point seven six
Ans. 68.76
(2)
Ans.
Nine point five zero one
9.501
(3)
Ans.
Eighty-four point zero three
84.03
Eighty-four point zero zero three (4)
Ans. 84.003
Decimal Fraction: Introduction
Std. V : Maths.
(6)
Ans.
Zero point nine
0.9
Zero point nine five(7)
Ans. 0.95
(5)
Ans.
Two hundred ninety-eight point zero seven two
298.072
Decimal Fraction: Introduction
Std. V : Maths.
Place value of a digit in a decimal fraction
83.619
The place value of 8 =8 × 10 = 80
The place value of 6 = 6 ×
110
=610
= 0.6
The place value of 1 = 1 ×
1100
= 0.01
The place value of 9 = 9 ×
11000
= 0.009
Note that place values of 6, 1, 9 in 83.619 are 0.6, 0.01, 0.009 respectively.
The place value of 3=3× 1 = 3
Decimal Fraction: Introduction
Std. V : Maths.
1. Write the place value of each digit in the numbers.
Exercise - 55
No. DigitPlace Value
Place Value
(1)
(2)
(3)
(4)
(5)
0.358
0.094
0.260
0.712
0.702
3
0
2
7
7
0.3
0.0
0.2
0.7
0.7
5
0
1
9
6
0.05
0.09
0.06
0.01
0.00
8
4
0
0
2
0.008
0.004
0.000
0.002
0.002
DigitPlace Value
Digit
Decimal Fraction: Introduction
Std. V : Maths.
2. Write the place value of each under lined digit.
(1) 34.26
Ans. 0.06
(2)
Ans.
8.888
0.008
0.910(3)
Ans. 0.9
(4)
Ans.
0.509
0.00
2.032(5)
Ans. 0.002
Decimal Fraction: Introduction
Std. V : Maths.
Q. Write the following fractions in the numerator-denominator form.
(1) 0.8 = 8 10
(2) 0.75 = 75 100
(3) 0.432 = 4321000
(4) 0.5 = 5 10
(5) 0.05 = 5 100
(6) 0.005 = 51000
Exercise - 56
(7) 0.04 = 4 100
(8) 0.3 = 3 10 (9) 0.30 =
30 100
(10) 0.300= 3001000
Decimal Fraction: Introduction
Std. V : Maths.
1. Write two decimal place and three decimal place fractions equivalent to the given fractions :
(1) 0.7 (2) 0.4 (3) 0.1 (4) 2.8 (5) 13.8
Ans.
Two Decimal Three Decimal
0.700
0.400
0.100
2.800
13.500
0.70
0.40
0.10
2.80
13.50
Equivalent fractionDecimal FractionNo
. (1)
(2)
(3)
(4)
(5)
0.7
0.4
0.1
2.8
13.50
Exercise - 57
Decimal Fraction: Introduction
Std. V : Maths.
(2) Write one decimal place or two decimal place fractions equivalent to the given fractions :
(1) 0.300 (2) 4.700 (3) 135.600 (4)16.800 (5) 3.900
Two decimalTwo Decimal Three DecimalOne Decimal Two Decimal
0.3
4.7
135.6
16.8
3.9
Equivalent fractionDecimal FractionNo
. (1)
(2)
(3)
(4)
(5)
0.300
4.700
135.6
16.800
3.900
0.30
4.70
135.60
16.80
3.90
