Expanded form of Decimal Fractions
We will discuss here about the expanded form of decimal fractions.
In expanded form of decimal fractions we will learn how to read and write the decimal numbers.
For example,
493.2 = 4 hundreds + 9 tens + 3 ones + 2 tenths
= 400 + 90 + 3 + 2/10
1436.74 = 1 thousands + 4 hundreds + 3 tens + 6 ones + 7 tenths + 4 hundredths
= 1000 + 400 + 30 + 6 + 7/10 + 4/100
Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.
1. Write in expanded
form:
(i) 3479.105
= 3 thousands + 4 hundreds + 7 tens + 9 ones + 1 tenths + 0 hundredths+ 5 thousandths
= 3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000
(ii) 7833.45
= 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths
= 7000 + 800 + 30 + 3 + 4/10 + 5/100
(iii) 21.1097
= 2 tens + 1 ones + 1 tenths + 0 hundredths + 9 thousandths + 7 ten thousandths
= 20 + 1 + 1/10 + 0/100 + 9/1000 + 7/10000
(iv) 524.1
= 5 hundreds + 2 tens + 4 ones + 1 tenths
= 500 + 20 + 4 + 1/10
(v) 143.011
= 1 hundreds + 4 tens + 3 ones + 0 tenths + 1 hundredths + 1 thousandths
= 100 + 40 + 3 + 0/10 + 1/100 + 1/1000
(vi) 840.006
= 8 hundreds + 4 tens + 0 ones + 0 tenths + 0 hundredths + 6 thousandths
= 800 + 40 + 0 + 0/10 + 0/100 + 6/1000
(vii) 64.21
= 6 tens + 4 ones + 2 tenths + 1 hundredths
= 60 + 4 + 2/10 + 1/100
(viii) 4334.334
= 4 thousands + 3 hundreds + 3 tens + 4 ones + 3 tenths + 3 hundredths + 4 thousandths
= 4000 + 300 + 30 + 4 + 3/10 + 3/100 + 4/1000
2. Write as decimal fractions:
(i) 8 thousands + 8 ones + 3 tenths + 9 hundredths
= 8008.39
(ii) 4000 + 7 + 5/10 + 6/100
= 4007.56
(iii) 6 hundreds + 9 tens + 8 tenths + 4 thousandths
= 690.804
(iv) 3 tens + 7 ones + 6 hundredths + 8 thousandths
= 37.068
(v) 400 + 50 + 1 + 9/100
= 451.09
(vi) 800 + 70 + 2 + 8/10 + 5/1000
= 872.805
(vii) 6 tens + 5 tenths + 8 hundredths
= 60.58
(viii) 9 hundreds + 4 tens + 3 tenths + 4 hundredths
= 940.34
● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Problems on Addition of Decimal Fractions
Subtraction of Decimal Fractions.
Problems on Subtraction of Decimal Fractions
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Problems on Multiplication of Decimal Fractions
Division of a Decimal by a Whole Number.
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Properties of Division of Decimal Numbers
Problems on Division of Decimal Fractions
Conversion of fraction to Decimal Fraction.
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