What is a rational number between \(-\frac{1}{4}\) and \(-\frac{7}{8}\)?
Answer (3)
Any negative number that you can write down, between -0.875 and -0.25 , is a correct answer to this question.
− 4 1 = − 4 × 2 1 × 2 = − 8 2 − 8 7 < − 8 6 < − 8 5 < − 8 4 < − 8 3 < − 8 2 = − 4 1
There are only examples. Between -1/4 and -7/8 are infinitely many rational numbers.
Rational numbers between − 4 1 and − 8 7 include − 2 1 and − 8 3 . These values can be expressed as decimals, with − 4 1 equaling − 0.25 and − 8 7 equaling − 0.875 . Thus, any number between these two values is a valid rational number.
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