Question

Without actually performing the long division, state whether the following rational numbers will have terminating
decimal expansion or a non terminating repeating decimal expansion. Also, find the number of places of decimals
after which the decimal expansion terminates.
1) 23/8
2)125/441
3)13/225
4)7/80
5)129/2²*5^7
6) 14588/625
7) 543/225
8) 43/2^4*5³
9) 129/6²*5³
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Answer 1

Answer:

1) 23/8 = 20875

2) non terminating

3)13/125 = 0.104

4) 7/80 = 0.0875

5) 129 /2^2 * 5^7 = 0.0001032

6)14500/625=23.3408

7)543/225 non terminating

8) 43/2000 = 0.0215

9)non terminating

Step-by-step explanation: