wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Identify the expression which results in a terminating decimal number.

A
12÷27+67
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
514+12÷72
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B 514+12÷72
Let's evaluate each expression one by one by following the PEMDAS rule.

12÷27+67
=12×72+67
=74+67
=7×7+6×44×7
Without solving further, we can observe that the denominator is a multiple of 7
we know that for a fraction to be terminating decimal its denominator should be multiple of 2 or 5.

Hence, the first expression will result in a non-terminating decimal number.

Let's check for option(b)
514+12÷72
=514+12×27
=514+17
=5+2×114
=714
=12
The factors of the denominator are 2 and 1.
Hence, it will result in a terminating decimal number.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon