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:

Terminating Decimal









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:

Terminating Decimal







= 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:

Terminating Decimal Example









= 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:

Terminating Decimal Examples





= 0.6

Since, the remainder is zero.

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

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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