madm3n51 madm3n51
  • 15-10-2014
  • Mathematics
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how do you write 7/9 in a decimal and does the decimal terminate or repeat

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khiggins20
khiggins20 khiggins20
  • 15-10-2014
0.68 and it terminates
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TaylorBayley
TaylorBayley TaylorBayley
  • 15-10-2014
7/9=0.777777...

So therefore the decimal actually recurs.
You can tell if a decimal recurs:
If the denominator can be factorised into 2s and 5s, then it will terminate e.g. 1/20=1/5*2*2 so it terminates.
If you can't factorise it with 2s and 5s the decimal will recur e.g. 7/9=7/1*9 so it recurs.
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