Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

The decimal expansions of $38$ is ____.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The decimal expansions of

38

is 0.375.
Given a number

38

.
Factors of the denominator are,

38 = 3 2 ​ ​ 3 ​ ​ ​ ​ × ​ ​ 50 ​ ​ ​ ​

Multiplying and dividing by 5³,

⇒ 3 ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ 2 ​ ​ 3 ​ ​ ​ ​ × ​ ​ 50 ​ ​ ​ ​ ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

⇒ 3 ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ 2 ​ ​ 3 ​ ​ ​ ​ × ​ ​ 1 ​ ​ ​ ​ ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

⇒ 3 ​ ​ × ​ ​ 125 ​ ​ ​ ​ ​ ​ ​ ​ 2 ​ ​ 3 ​ ​ ​ ​ × ​ ​ 1 ​ ​ ​ ​ ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

⇒ 375 2 ​ ​ × ​ ​ 5 ​ ​ 3 ​ ​

⇒ 375 10 ​ ​ 3 ​ ​

⇒ 3751000

⇒ 0.375

Hence, the decimal expansion is 0.375.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE