Question

Without actual division, classify the decimal expansion of the following number as terminating or non-terminating and recurring 31/400
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Answer 1

Answer:

bhai example hai

Step-by-step explanation:

16=2

4

16

7

=

2

4

7

=

2

4

×5

0

7

. So,

16

7

has a terminating decimal expansion.

Answer 2

Answer:

31/400 is terminating

Step-by-step explanation:

We should know that,

A Rational number is of the form p/q where p and q are integers, and q not equal to 0

Now, in a Rational number,

If q is of the form ((2^m) × (5^n)) where m and n are integers, then the Rational number is terminating.

Here,

31/400 is the rational number of the form p/q where p = 31 and q = 400

Now,

q = 400 = 2 × 2 × 2 × 2 × 5 × 5

q = 2⁴ × 5²

Thus, here

q is of the form (2^m) × (5^n) where m = 4 and

n = 2

Thus,

31/400 is terminating

Hope it helped and you understood it........All the best