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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