Show that the number –0.88 is a rational number by finding a ratio of two integers equal to the number.

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07-08-2018
Mathematics

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Show that the number –0.88 is a rational number by finding a ratio of two integers equal to the number.

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PGM1 PGM1 · Answer 1 · 2018-08-07T18:14:02+02:00

This can be done with how you read decimals in place value (tenths, hundredths, thousandths, and so forth).

Our number is -0.88, which has 8 in the tens and hundredths place, or, 88 hundredths.

Write the hundredths part as the denominator, the first part as your numerator.

= -88 / 100

That satisfies the definition of a rational number, because both -88 and 100 are integers and we have a ratio between them. Further, we are not dividing by zero.