# Arithmetic : Decimals

A decimal is the sum of a whole number and a decimal fraction.
In the decimal system, the position of the decimal point determines the place value of the digits. Thus, each digit in a decimal has a place value.
To the right of the decimal point, - the first digit represents the tenths decimal place (being the digit that is multiplied by 1/10);
- the second digit represents the hundredths decimal place (being the digit that is multiplied by 1/100);
- the third digit represents the thousandths decimal place (being the digit that is mulitplied by 1/1000); and so on.
For example, 0.83 = 8 × (1/10) + 3 × (1/100) = 8 × (10/100) + 3 × (1/100) = 80/100 + 3/100 = 83/100 ,
To the left of the decimal point, - the first digit represents the ones or units place (being the digit that is multiplied by 1);
- the second digit represents the tens place (being the digit that is multiplied by 10);
- the third digit represents the hundreds place (being the digit that is multiplied by 100);
- the fourth digit represents the thousands place (being the digit that is mulitplied by 1000); and so on.
GMAT Math Review - Arithmetic : Practice Exercise for Decimals |

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