QuestionClassify the numbers $3$ , $-6$ , and $3 + -6$ as rational or irrational.

Studdy Solution

STEP 1

Assumptions1. Rational numbers are numbers that can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero. . Irrational numbers are numbers that cannot be expressed as a ratio of two integers.
3. The numbers to classify are $3$ , $-6$ , and $3+-6$ .

STEP 2

First, we will classify the number $. Since$ can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero (i.e., $/1$ ), it is a rational number.

STEP 3

Next, we will classify the number $-6$ . Since $-6$ can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero (i.e., $-6/1$ ), it is a rational number.

STEP 4

Finally, we will classify the number $3+-6$ . This is equivalent to $3 -6 = -3$ . Since $-3$ can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero (i.e., $-3/1$ ), it is a rational number.
So, all the numbers $3$ , $-6$ , and $3+-6$ are rational numbers.

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