Rational numbers
* Any fraction(p/q),where q is not equal to zero,
is called rational no:Eg:12/14,1/15,2/35 etc.
* irrational no: Any fraction which result is neither a whole number
or perfect decimal .Eg:10/9,100/66
* 10/9=3.333... here 3 keeps on repeating.100/33=3.030303..
here 03 keeps on repeating.c)34/6=5.666666... |
Representation of rational number in a number or decimal form.
a)45/56 =0.8035714.
=0.806(presenting in three digt )
if the no. after three digit is more than 5,
then the third digit would be incremented by 1
else the third digit will remain same.
b)23/67=0.3432836 =0.343 |
EASY LEVEL
1.Find the value of rational no. 13/17 in three digit decimal no.
Ans: 13/37= 13.000/37 = 0.351
check the answer!!!
2.Find the value of rational no.78/89 in three digit decimal no.
Ans : 78/89
0.876
check the answer!!!
3.Find the value of rational no. 56/67 in four digit decimal no.
Ans : 0.8358
check the answer!!!
4.Find the value of rational no: 84/85 in five digit no.
5.Add (23/45)+(32/6),show the result in five digit decimal form.
6.Find the absolute value of(-12/16).
7.Find the value of|(34/45)-(12/15)| and |(34/45)|-|(12/15)|.Are they same or different.
8.Find the value of|(34/45)-(-40/45)| and |(34/45)|-|(-40/45)|.
9.Find the value of |(56/60)*(-80/60| and |56/60|*|-80/60|.
10.Find the value of |(12/56)/(-12/45)| and |(16/60)|/|(-12/45)|.
MEDIUM LEVEL
1.Check whether the no. is rational or irrational 22/7.
Ans: 22/7 =3.1428571
irrational number as 1428571 keeps on repeating
check the answer!!!
2.Check whether the no. is rational or irrational 34/3.
Ans : 34/3 = 11.33
irrational no.,as 33 keeps on repeating
check the answer!!!
3.Check whether the no. is rational or irrational 500/7.
Ans: 500/7=71.42857
irrational number as 71.42857
check the answer!!!
4.Check whether the no.is rational or irrational 40/13 .
5.Add (34/7),(40/13), check the result is rational or irrational.
6.Substract (22/7) from (34/3),check the result is rational or irrational.
7.Multiply (13/26),(22/7),check the result is rational or irrational.
8.(29/27)/(9/67) ,check whether the result is rational or irrational.
9. Simplyfy (334/13)/(433/44).
10|-33789/456|/|-89/45|.
HARD LEVEL
1.Simplify {(78/13)-(34/13)}+{45/26}.
Ans : {(78-34)/13}+{45/26}
= {(44/13)+(45/26)}
= {((44*2)+45)/26}
= {(88+45)/26}
=133/26
check the answer!!!
2.Simplyfy[{(13/39)+(1/2)}+{29/23}].
Ans: 13/39=1/3
(1/3) +(1/2)
=(5/6)
now,(5/6)+(29/23)
= {(5*23)+(29*6)}/(6*23)
= {(115+174)}/(6*23)
=329/138
check the answer!!!
3.Find the value of [12/26+34/36].
Ans:12/26=6/13,34/36=17/18
(6/13)+(17/18)= (6*18+17*13)/(13*18)
(108+ 221)/234
=329/234
check the answer!!!
4.Simplyfy {(23/45)/(3*12)}+{(34/20)}.
5.Simplfy [{(23/48)/(3*16)}+{(/18/36)/(45/36)}]
6.Simplyfy[{(16/72)*(18/36)}+{(2/8)/(45/36)}]
7. Find the absolute value of [{(18/36)/(36/18)}]
8.Find {(45/56)+(78/80)}.
9.Find [{(64/48)/(3*8)}+1/8]
10.Find [{(70/8)+(90/16)}/45]