number : decimals
 

 

 

Terminating decimals All terminating decimals end with one number.

examples: 0.123,  5.61219,  0.00187

 

They are rational numbers. Remember the definition of a rational number is one that can be expressed as a fraction.

Recurring Decimals - These decimals have number patterns that repeat themselves.

recurring decimals

 

 

Converting a fraction to a decimal - Simply divide the numerator by the denominator.

fractions to decimals

 

Converting a non-recurring decimal to a fraction - First, write out the decimal as a fraction of powers of ten eg 10 ths, 100 ths or 1000 ths. Then just cancel the fraction to its smallest factors.

decimals to fractions

 

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Converting a recurring decimal to a fraction

example #1 - make 0.55555... into a fraction

recurring decimal to fraction #1

 

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example #2 - make 0.75757575... into a fraction

recurring decimal to fraction #2

 

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example #3 - make 0.692692692... into a fraction

recurring decimal to fraction #3

 

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