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Mathematics
Mariah Benjamin
16 May, 16:54
Show that 30.1111 ... is a rational number.
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Isaiah Lara
16 May, 19:18
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We know that 30.1111 ... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.
x = 30.1111 ...
10x = 301.1111 ...
Subtract both sides by x
10x - x = 301.1111 ... - 30.1111 ...
9x = 271
x = 271/9
The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.
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