Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

Which of the following rational numbers have a terminating decimal expansion?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

13507

b

27276

c

420240

d

126270

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

detailed_solution_thumbnail

A number of the form pq has a terminating decimal expansion if the denominator (q) can be expressed as 2n5m, where m and n are non-negative integers. 

The rational number  420240 can be written as 

420240=2×2×3×5×72×2×2×2×3×5=722×50 

Here, the denominator is of the form 2n5m, where n = 2 and m = 0. 

Thus, 420240 has a terminating decimal expansion.  

Watch 3-min video & get full concept clarity

courses

No courses found

Ready to Test Your Skills?

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

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon