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3 years ago

I need help with #4 a-d

Mathematics

1 answer:

lesya [120]3 years ago

6 0

a repeating decimal is placed over 9's instead of 0's. for example: 0.23 = $\frac{23}{100}$ , but 0.232323... = $\frac{23}{99}$

a) x = 0.121212

b) 100(x) = 100(0.121212)

100x = 12.1212

c) 100x = 12.1212

- <u> x = 0.1212</u>

99x = 12

x = $\frac{12}{99}$

d) -2 $\frac{12}{99}$ <em>= -2 $\frac{4}{33}$ when simplified</em>

The number is rational becase it has a repeating decimal

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