Question

find terminating decimals.
Without actuall dividing,
find which of the following
1.) 3/25 2.) 11/18 3.) 13/20 4.)41/42
​

Answer 1

Answer:

If Denominator is in the form of 2ⁿ × 5ⁿ then decimals are terminating.

1).3/25

The above fraction can be written as:

3/5²*2⁰

Since, the denominator is in the form of 2ⁿ × 5ⁿ, therefore the decimal is terminating.

2.) 11/18

The above fraction can be written as:

11/2*3²

Since, the denominator is not in the form of 2ⁿ × 5ⁿ, therefore the decimal is not terminating.

3.)13/20

The above fraction can be written as:

13/5*2

Since, the denominator is in the form of 2ⁿ × 5ⁿ, therefore the decimal is terminating.

4.41/42

The above fraction can be written as:

41/2*3*7

Since, the denominator is not in the form of 2ⁿ × 5ⁿ, therefore the decimal is not terminating.