Decimal

A decimal, like a fraction, is one way to express numbers less than 1. The main difference between a decimal and fraction is that a decimal is easier to utilize as it complements a whole number better. When a number is divided by a period, anything to the right of the period is part of the decimal. This is illustrated in the following model;

(Whole Number/Integral Part).(Decimal/Fractional Part)

As we have a base ten system, the first number to the right of the period represents the given number (n) out of ten (ⁿ/₁₀), known as tenths. this can be used to find the value of any place, by multiplying the place to its left by ¹/₁₀ and substituting the given number for 1. Using the tenths example, this would be, 1 x ¹/₁₀, to find the value of 0.1 . A simpler way of thinking about this that as we move right, each place gets ten times smaller.

When writing decimals without a whole number, a 0 is generally placed on the left side of the period to signify that the number is both a decimal and that there are no whole number components. While not necessary in general usage, proper usage of zeros is essential in chemistry and physics where significant figures apply. A dash over the final digit indicates that the decimal continues infinitely, or without ending. Such cases are referred to as repeating decimals.

Resources

• Maths is fun. Decimals. Accessed January 4, 2009.
• Math.com. Decimal Numbers Accessed January 4, 2009.