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Question

-2745 and -35 represent _______ rational numbers.


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Solution

Defining Rational Numbers and Equivalent Rational Numbers

-2745 and-35 represent the same rational numbers.

Rational numbers

A rational number, in Mathematics, can be defined as any number which can be represented in the form ofpq whereq0. When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal. The set of rational numerals includes positive, negative numbers, and zero.

-2745 and -35

HCF of -2745is 9

Divide both numerator and denominator by9.

(-27÷9)(45÷9)=-35

Then, the HCF of-35 is 1

Therefore, -2745 and-35 represent the same rational numbers.


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