Question

is 0.4 a rational number? explain with reason​

Answer 1

Answer:

0.4 is a rational no. becoze it can be written in p/q form

for ex- p/q form of 0.4 is 2/5

as you can see it can be written in p/q form that's why 0.4 is a rational no.

Answer 2

0.4 a rational number as the number 0.4 can be written in the form p/q where p & q are integers with q ≠ 0

Given :

The number 0.4

To find :

Is 0.4 a rational number. Explain with reason

Concept :

Rational number :

A rational number is defined as a number of the form p/q where p & q are integers with q ≠ 0

Examples :

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is 0.4

Step 2 of 2 :

Check whether 0.4 a rational number

$\displaystyle \sf 0.4 = \frac{4}{10} = \frac{2}{5}$

The number 0.4 can be written in the form p/q where p & q are integers with q ≠ 0

For the number 0.4 , value of p = 2 & q = 5

Again we know that a rational number is defined as a number of the form p/q where p & q are integers with q ≠ 0

Hence 0.4 is a rational number

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