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3 votes
How do you write 7/9 in a decimal and does the decimal terminate or repeat

2 Answers

5 votes
0.68 and it terminates
answered
User Alltom
by
7.7k points
3 votes
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.
answered
User Nabir
by
8.2k points

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