Question

Add, each pair of rational numbers, given below, and show that their addition ( sum ) is also a rational number:
-2 and 2/5​

Answer 1

Answer:

$- 2 + \frac{2}{5} \\ \frac{ - 2 \times 5}{1 \times 5} + \frac{2}{5} \\ \frac{ - 10}{5} + \frac{2}{5} \\ \frac{ - 10 + 2}{5} \\ \frac{ - 8}{5}$

-8/5

is also a rational no

Answer 2

The numbers -2 can be written in the form of p/q where q ≠ 0 (-2 = -2/1)

2/5 is also a rational number which is in the form of p/q where q ≠ 0

Sum = -2 + 2/5 = - 8/5 which is in the form of p/q where q ≠ 0

So, the sum of given pair of rational number is also a rational number

HENCE PROVED ✔✔

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Hope it helps ☺

Fóllòw Më ❤