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

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.