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Secondary 1 | Maths
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##### Anonymous

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Need help. Thabk you.

Date Posted: 4 months ago
Views: 30
Eric Nicholas K
4 months ago
5.36363636... = 5.36•• = 5 + 0.36••

(Sorry, I have no idea how to put two dots on top)

For two dots, we use 10 x 10 = 100 as a multiplier, as follows.

Let u = 0.36•• = 0.36363636...
Then 100u = 36.363636... (shifting the decimal place 2 units to the right) = 36.36••

So 100u - u = 36.36•• - 0.36•• = 36
99u = 36
u = 36/99 = 4/11
So 5.36•• = 5 + 4/11 = 59/11.
Eric Nicholas K
4 months ago
Note that although 36.3636... is lagging behind 0.363636... by 2 digits, we treat them to be the same for continuous, non-stopping digits. Hence, 36.3636... - 0.363636... = 36.
Alisha
4 months ago
Thank you.
Eric Nicholas K
4 months ago
You can put 59/11 (sorry, typo previously) in calculator to verify this.

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Hope this helps. Have a great weekend.
Date Posted: 4 months ago 