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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● Related Concept

● Decimals

● Decimal Numbers

● Decimal Fractions

● Like and Unlike Decimals

● Comparing Decimals

● Decimal Places

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Terminating Decimal

● Non-Terminating Decimal

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● Pure Recurring Decimal

● Mixed Recurring Decimal

● BODMAS Rule

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● PEMDAS Rule

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Simplification of Decimal

● Rounding Decimals

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Round a Decimal

● Adding Decimals

● Subtracting Decimals

● 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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