Question

- Write the following decimals as rational numbers. (a) 0.38 (b) 0.0013 (c) 1.23 (d) 0.134​

Answer 1

$\text{(a)0.38}$

$=\displaystyle\frac{38}{100}$

$=\displaystyle\frac{19}{50}$

$\implies\boxed{\bf\,0.38=\displaystyle\frac{19}{50}}$

$\text{(b)0.0013}$

$=\displaystyle\frac{13}{10000}$

$\implies\boxed{\bf\,0.0013=\displaystyle\frac{13}{10000}}$

$\text{(c)1.23}$

$=\displaystyle\frac{123}{100}$

$\implies\boxed{\bf\,1.23=\displaystyle\frac{123}{100}}$

$\text{(d)0.134}$

$=\displaystyle\frac{134}{1000}$

$=\displaystyle\frac{67}{500}$

$\implies\boxed{\bf\,0.134=\displaystyle\frac{67}{500}}$

Answer 2

(a) $0.38=\frac{19}{50}$

(b) $0.0013=\frac{13}{10000}$

(c) $1.23=\frac{123}{100}$

(d) $0.134=\frac{67}{500}$

Explanation:

We need to determine the rational numbers for the given decimals.

Option a: 0.38

The decimal 0.38 can be obtained by dividing the numbers 19 and 50

Thus, we have,

$0.38=\frac{19}{50}$

The rational number of 0.38 is $0.38=\frac{19}{50}$

Option b: 0.0013

The decimal 0.0013 can be obtained by dividing the numbers 13 and 10000

Thus, we have,

$0.0013=\frac{13}{10000}$

The rational number of 0.00013 is $0.0013=\frac{13}{10000}$

Option c: 1.23

The decimal 1.23 can be obtained by dividing the numbers 123 and 100

Thus, we have,

$1.23=\frac{123}{100}$

The rational number of 1.23 is $1.23=\frac{123}{100}$

Option d: 0.134

The decimal 0.134 can be obtained by dividing the numbers 67 and 500

Thus, we have,

$0.134=\frac{67}{500}$

The rational number of 0.134 is $0.134=\frac{67}{500}$

Learn more:

(1) Express the following rational numbers as decimals numbers

I. i) 242/1000 ii) 354/500 iii) 2/5 iv) 115/4

II. i) 2/3 ii) -25/36 iii) 22/7 iv) 11/9

brainly.in/question/135897

(2) Express the following rational numbers as decimals 1/16​

brainly.in/question/9790218