Question

show that the following relating decimal are rational number 0.123 bar on 3 and 0.0032 bar on 32

Answer 1

hiii!!!

here's Ur answer...

1. 0.1233333...

let x be = 0.1233333... ----------(1)

multiplying both sides by 10 since one number is repeating.

10 × x = 10 × 0.1233333...

10x = 1.233333... ----------(2)

subtract equation (1) from equation (2)

10x - x = 1.233333... - 0.1233333...

9x = 1.11

x = 1.11/9

hence, 0.123333... in the form of rational number is 1.11/9

2. 0.00323232...

let x be = 0.00323232... ---------(1)

multiplying both sides by 100 since 2 numbers are repeating.

100 × x = 100 × 0.00323232...

100x = 0.323232... ---------(2)

subtract equation (1) from equation (2)

100x - x = 0.323232... - 0.00323232...

99x = 0.32

x = 0.32/99

hence, 0.00323232... in the form of rational number is 0.32/99

hope this helps..!!