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.

● **Related Concept **

● Decimals

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number

**7th Grade Math Problems**

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