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| Math Central | Quandaries & Queries |
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Question from megan, a student: How do you express the addition of .9 repeating plus .2 repeating? |
Hi Megan,
You could try to approximate the sum by expressing the decimals to say 6 places and adding.
0.222222
0.999999
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1.222221
From this you can see that if you had expressed the decimals to 7 places the sum would be 1.2222221 and to 8 places 1.22222221 and so on. Hence it looks as if 0.9 repeated plus 0.2 repeated is 1.22222...
This might look strange since 1 plus 0.2 repeated is 1.22222... , but that's because 0.9 repeated is 1.
I hope this helps,
Penny
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