Question

without actual divisuon ; check wheather 1/32 is (a)terminating(b)irrational number(c)rational(d)none of these​

Answer 1

Step-by-step explanation:

Given :-

1/32

To find :-

Check whether it is a terminating decimal or irrational or rational number

Solution :-

Given number = 1/32

Since , it is in the form of p/q , where p and q are integers and q ≠ 0 ,it is a rational number.

p = 1

q = 32

32 = 2×2×2×2×2 =2⁵

1/32 = 1/2⁵

The denominator is in the form of 2^m × 5^n

It is a terminating decimal.

Now,

on multiplying both numerator and denominator with 5⁵ then

(1/2⁵)×(5⁵/5⁵)

= (1×5⁵)/(2⁵×5⁵)

= 5⁵/(2×5)⁵

= 5⁵/10⁵

= 3125/10⁵

= 3125/100000

= 0.03125

It is a terminating decimal.

Answer :-

1/32 is a rational number.

1/32 is a terminating decimal number.

Used formulae:-

Let X is a rational number which is in the form of p/q , if q is in the form of 2^m × 5^n then it is a terminating decimal number.

Answer 2

PROVIDED INFORMATION :-

• without actual divisuon ; check wheather 1/32 is

QUESTION :-

• without actual divisuon ; check wheather 1/32 is (a)terminating(b)irrational number(c)rational(d)none of these

TO FIND :-

• check wheather 1/32 = ?

SOLUTION :-

when we will divide 1 by 32 we get :-

1/32 = 0.03125

the answer is 0.03125

so, it is rational option C is correct