1.Decimal fractions:
Fractionin which denominations are powers of 10 are decimal fractions.
1 /10 = 0.1, 1 / 100 = 0.01
2.Convertion of Decimal into fraction:-
eg: 0.25 = 25/100 = 1/4
3.i) If numerator and denominator contain same number of decimal places,
then we remove decimal sign. Thus,
1.84/2.99 =184/299
PROBLEMS:
1.0.75 =75/100 =3/4
2.Find porducts= 6.3204*100 = 632.04
3.2.61*1.3=261*13=3393
some of decimal places 2 +1 =3
= 3.393
4.If 1/3.718 =0.2689,then find value of 1/0.0003718 ?
Sol: 10000/3.718 =10000*1/3.718
=10000*0.2689
= 2689
5.Find fractions :
i) 0.37 = 37/99
ii)3.142857 =3+0.142857
=3 +142857/999999
= 3 142857/ 999999
iii) 0.17=17-1/90 =16/90=8/45
iv)0.1254 =1254 -12/9900 =1242/9900=69/550
6.Fraction 101 27/100000
Sol: 101+27/100000
=101+0.00027
=101.00027
7.If 47.2506 =4A + 7/B +2C + 5/D + 6E then 40+7+0.2+0.05+0.0006
Sol: compairing terms
4A= 40 => A=10
7/B = 7 => B=1
2C= 0.2=> C=0.1
5/D= 0.05=>D=5/0.05 =>5*100/5 =100
6E= 0.0006=> E= 0.0001
5A + 3B+6C+ D+ 3E = 5*10+ 3*1+ 6*0.1 + 100+ 3*0.0001
=50+3+0.6+100+0.0003
=153.6003
8.4.036 divided by 0.04
Sol: 4.036/0.04 =4036/4 =100.9
9.[ 0.05/0.25 + 0.25/ 0.05]3
Sol: =>[5/25 + 25/5]
= [1/5+ 5]3
=26/53
=5.23
= 140.603
10.The least among the following :-
a. 0.2 b.1/0.2 c. 0.2 d. 0.22
10/2 =5 0.2222 0.04 0.04 < 0.2 < 0.22 --------<5
Since 0.04 is least (0.2)2 is least.
Fractionin which denominations are powers of 10 are decimal fractions.
1 /10 = 0.1, 1 / 100 = 0.01
2.Convertion of Decimal into fraction:-
eg: 0.25 = 25/100 = 1/4
3.i) If numerator and denominator contain same number of decimal places,
then we remove decimal sign. Thus,
1.84/2.99 =184/299
PROBLEMS:
1.0.75 =75/100 =3/4
2.Find porducts= 6.3204*100 = 632.04
3.2.61*1.3=261*13=3393
some of decimal places 2 +1 =3
= 3.393
4.If 1/3.718 =0.2689,then find value of 1/0.0003718 ?
Sol: 10000/3.718 =10000*1/3.718
=10000*0.2689
= 2689
5.Find fractions :
i) 0.37 = 37/99
ii)3.142857 =3+0.142857
=3 +142857/999999
= 3 142857/ 999999
iii) 0.17=17-1/90 =16/90=8/45
iv)0.1254 =1254 -12/9900 =1242/9900=69/550
6.Fraction 101 27/100000
Sol: 101+27/100000
=101+0.00027
=101.00027
7.If 47.2506 =4A + 7/B +2C + 5/D + 6E then 40+7+0.2+0.05+0.0006
Sol: compairing terms
4A= 40 => A=10
7/B = 7 => B=1
2C= 0.2=> C=0.1
5/D= 0.05=>D=5/0.05 =>5*100/5 =100
6E= 0.0006=> E= 0.0001
5A + 3B+6C+ D+ 3E = 5*10+ 3*1+ 6*0.1 + 100+ 3*0.0001
=50+3+0.6+100+0.0003
=153.6003
8.4.036 divided by 0.04
Sol: 4.036/0.04 =4036/4 =100.9
9.[ 0.05/0.25 + 0.25/ 0.05]3
Sol: =>[5/25 + 25/5]
= [1/5+ 5]3
=26/53
=5.23
= 140.603
10.The least among the following :-
a. 0.2 b.1/0.2 c. 0.2 d. 0.22
10/2 =5 0.2222 0.04 0.04 < 0.2 < 0.22 --------<5
Since 0.04 is least (0.2)2 is least.
Posts
Comment Policy : We invite you to comment on our posts, as long as they are respectful, to the point and approving. We do not perform pre-moderation of comments. However, in order to keep this site clean and useful, we reserve the right to remove any comment that is not in accordance with our Comment Policy.