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# Writing decimals

Decimals use strings of digits to represent numbers, rather than using fractions. Number shown by calculators are usually written as decimals.

$10$, $1.234$, $-0.5$, $3.1416$ are written as decimals.

Numbers are divided into two parts using a dot called the decimal point.

The number on the left of the decimal point is the integer part; the number on the right is the fractional part.

The easiest way to find the decimal corresponding to a number is to use a calculator. $\frac{1304}{125}= \Tblue{10}\Torange{.}\Tgreen{432}$ The integer part is $\Tblue{10}$; the fractional part is $\Tgreen{0.432}$

 Fraction Decimal $\frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{4}$ $\frac{1}{5}$ $\frac{1}{6}$ $\frac{1}{7}$ $0.5$ $0.33\dots$ $0.25$ $0.2$ $0.16\dots$ $0.14\dots$

The decimals with the $\dots$ are truncated, because they should have an infinite number of digits. $\frac{1}{7} = 0.\Tred{142857}\Tblue{142857}\Tgreen{142857}\dots$ Some fractions have decimals that stop while others have a pattern that repeats infinitely.