Question

Which of these is not a rational number when =2? Explain your reasoning.
a. n/6
b.(−2) / 7
c.(−2) / (+2)
d. (+2) / (−2)

Answer 1

Answer:

2 is a rational number because it can be expressed as the quotient of two integers: 2 ÷ 1.

Answer 2

Answer:

Hey Mate

-1/2 is does not belong with the other three because -1/2 is terminating decimal.

Step-by-step explanation:

The given numbers are

-5/11, -1/2, -4/9, -7/3

If the denominator of a rational number is 2n or 5n or 2n522^n\text{ or } 5^n\text{ or } 2^n5^22

n

or 5

n

or 2

n

5

2

, n∈N, then the rational number is terminating decimal otherwise the rational number is non-terminating decimal.

−511=−0.4545....-\frac{5}{11}=-0.4545....−

11

5

​

=−0.4545.... (non-terminating decimal)

−12=−0.5-\frac{1}{2}=-0.5−

2

1

​

=−0.5 (terminating decimal)

−49=−0.44...-\frac{4}{9}=-0.44...−

9

4

​

=−0.44... (non-terminating decimal)

−73=−2.333-\frac{7}{3}=-2.333−

3

7

​

=−2.333 (non-terminating decimal)

Therefore, -1/2 is does not belong with the other three because -1/2 is terminating decimal.

Step-by-step explanation:

Hope this will help you

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