# Terminating Decimal

While expressing a fraction in the decimal form when we perform division we notice that the division is complete after a certain number of steps i.e., we get the remainder zero. The quotient obtained as decimal is called the terminating decimal. Such a decimal has a finite number of terms after the decimal point.

Worked-out examples on terminating decimal:

1. Express 17/8 in the decimal form.

Solution:

Since, the remainder is zero.

Therefore, 17/8 is terminating and 2.125 is a terminating decimal.

2. Express 1/4 in the decimal form.

Solution:

= 0.25

Since, the remainder is zero.

Therefore, 1/4 is terminating and 0.25 is a terminating decimal.

3. Express 3/5 in the decimal form.

Solution:

= 1.125

Since, the remainder is zero.

Therefore, 27/24 is terminating and 1.125 is a terminating decimal.

4. Express 3/5 in the decimal form.

Solution:

= 0.6

Since, the remainder is zero.

Therefore, 3/5 is terminating and 0.6 is a terminating decimal.

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