Question

Evaluate: (a) (-31) ÷ [(-30) + (-1)]

(b) [(-3) + 4] ÷ [(-2) + 1]​

Answer 1

Answer:

(a) 1

(b) (-1)

Step-by-step explanation:

(a) (-31) can also be written as [-30 + (-1)]

so if we divide (-31) by [-30 + (-1)], then, we divide [-30 + (-1)] by [-30 + (-1)] and

[-30 + (-1)] ÷ [-30 + (-1)] = 1/1 = 1

(b) [(-3) + 4] = 4-3 = 1 and [(-2) + 1] = 1-2 = (-1)

so the simplified version of [(-3) + 4] ÷ [(-2) + 1] is 1 ÷ -1 or 1/-1

a denominator can never be a negative number so we move the negative sign to the numerator.

so 1/-1 = -1/1 = (-1)