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The Decimal Number System

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The Decimal Number System

A decimal number is a fraction whose denominator can be expressed as 10 or some higher power of 10. The dot represents a decimal point. For example, 2.53, 6.5, etc.
Representation of Decimal Numbers:

  • When there is no number to the left of the decimal point, generally, a zero is written.
    i.e., .72 is written as 0.72
  • 2.4 means 2 + 0.4.
    Here, 2 is the integral part, and 0.4 is the decimal part of the number 2.4. 
  • Any extra zero or zeroes written after the decimal part of a number do not change its value.
    e.g., a value of 3.5 is the same as 3.50, 3.500, or 3.5000, and so on. 
  • The decimal point is used to write 8 `5/10` as 8.5.  This is read as ‘eight point five.'

                 

  • In a decimal number, the digits to the left of the decimal point represent a whole number. The digits to the right of the decimal represent the parts. The place value of the digits becomes 10 times smaller.
  • 34.7 has 3 Tens, 4 Ones, and 7 Tenths

Example

Write the following as decimals: Two ones and five-tenths

Two ones and five-tenths = 2 + `5/10` = 2.5.

Example

Write the following as decimals: Thirty and one-tenth

Thirty and one-tenth = 30 + `1/10` = 30.1

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