Decimal



In decimal we will discuss how to read and write decimal numbers.



The length of a pencil is 17.2 cm. This is read as seventeen point two cm.

Now, the decimal 49.50 can be converted into a fraction as:
49.50 = 4950/100

Similarly,

(i) 1.1 = 11/10

(ii) 2.13 = 213/100

(iii) 17.2 = 172/10

(iv)14.11 = 1411/100

(v) 9.781 = 9781/1000

So, we note that the number is divided:

(a) By 10 if there is one digit after the decimal.

(b) By 100 if there is two digits after the decimal.

(c) By 1000 if there is three digits after the decimal.



(a) The number is divided by 10 if there is one digit after the decimal.

For example:

(i) 1.5 = 15/10

[We observe that in 1.5, after the decimal there is one digit so we need to divide by 10]



(ii) 12.3 = 123/10

[We observe that in 12.3, after the decimal there is one digit so we need to divide by 10]



(iii) 10.1 = 101/10

[We observe that in 10.1, after the decimal there is one digit so we need to divide by 10]



(iv) 111.2 = 1112/10

[We observe that in 111.2, after the decimal there is one digit so we need to divide by 10]



(v) 145.9 = 1459/10

[We observe that in 145.9, after the decimal there is one digit so we need to divide by 10]



(b) The number is divided by 100 if there is two digits after the decimal.

For example:

(i) 2.51 = 251/100

[We observe that in 2.51, after the decimal there is two digits so we need to divide by 100]



(ii) 12.03 = 1203/100

[We observe that in 12.03, after the decimal there is two digits so we need to divide by 100]



(iii) 19.11 = 1911/100

[We observe that in 19.11, after the decimal there is two digits so we need to divide by 100]



(iv) 11.24 = 1124/100

[We observe that in 11.24, after the decimal there is two digits so we need to divide by 100]



(v) 14.93 = 1493/100

[We observe that in 14.93, after the decimal there is two digits so we need to divide by 100]



(c) The number is divided by 1000 if there is three digits after the decimal.

For example:

(i) 1.555 = 1555/1000

[We observe that in 1.555, after the decimal there is three digits so we need to divide by 1000]



(ii) 12.005 = 12005/1000

[We observe that in 12.005, after the decimal there is three digits so we need to divide by 1000]



(iii) 2.001 = 2001/1000

[We observe that in 2.001, after the decimal there is three digits so we need to divide by 1000]



(iv) 1.112 = 1112/1000

[We observe that in 1.112, after the decimal there is three digits so we need to divide by 1000]



(v) 15.913 = 15913/1000

[We observe that in 15.913, after the decimal there is three digits so we need to divide by 1000]





Decimal.
  • Decimal Place Value Chart.
  • Expanded form of Decimal Fractions.
  • Like Decimal Fractions.
  • Unlike Decimal Fraction.
  • Equivalent 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.
  • Subtraction of Decimal Fractions.
  • Multiplication of a Decimal Numbers.
  • Multiplication of a Decimal by a Decimal.
  • Properties of Multiplication of Decimal Numbers.
  • Division of a Decimal by a Whole Number.
  • Division of Decimal Fractions
  • Division of Decimal Fractions by Multiples.
  • Division of a Decimal by a Decimal.
  • Division of a whole number by a Decimal.
  • Conversion of fraction to Decimal Fraction.
  • Simplification in Decimals.
  • Word Problems on Decimal.

  • 5th Grade Numbers Page

    5th Grade Math Problems

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