Question

What is the correct way to show a repeating decimal for the fraction 1.15... 1.15151515151515151515? a) 1.15 b) 1.1515 c) 1.151515 d) 1.15151515

Answer 1

The fraction 1.15... as a repeating decimal is represented as 1.151515. This showcases the repeating '15' pattern in the decimal.

Step-by-step explanation:

In the case of the fraction 1.15... represented as a repeating decimal, the correct way to depict it would be 1.151515, which corresponds to option (c). This is because the repeating pattern in this decimal is '15'. Every decimal number after the point is part of a repeating sequence of the number 15. Hence, the numbers after the decimal point continue to repeat this pattern indefinitely. Other options do not fully capture the repeating nature of this decimal.

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