Question

Evaluate each of the following:

1. (–30) ÷ 10
2. 50 ÷ (–5)
3. (–36) ÷ (–9)
4. (– 49) ÷ (49)
5. 13 ÷ [(–2) + 1]
6. 0 ÷ (–12)
7. (–31) ÷ [(–30) + (–1)]
8. [(–36) ÷ 12] ÷ 3
9. [(– 6) + 5)] ÷ [(–2) + 1]

Answer 1

(a) (-30) ÷ 10 = (-30) × $\frac {1}{10}$ = $\frac {-30×1}{10}$ = -3

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(b) 50 ÷ (-5) = 50 × $(-\frac 15)$= $\frac {50×(-1)}{5}$ = -10

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(c) (-36) ÷ (-9) = (-36) × $\frac 19$ = $\frac {(-36)×(-1)}{9}$ = $\frac {36}{9}$ = 4

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(d) (-49) ÷ (49) = (-49) × $\frac {1}{49}$= $\frac {-49}{49}$ = -1

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(e) 13 ÷ [(-2) + 1] = 13 ÷ (-1) = 13 × $(\frac {-1}{1})$ = -13

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(f) 0 ÷ (–12) = 0 × $(\frac {-1}{12})$ = $\frac {0}{12}$ = 0

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(g) (–31) ÷ [(–30) + (–1)] = (-31) ÷ (-30 - 1) = (-31) ÷ (-31) = (-31) × $(\frac {-1}{31})$ = $\frac {31}{31}$ = 1

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(h) [(–36) ÷ 12] ÷ 3 = [(-36) ×$\frac {1}{12}$] ×$\frac {1}{3}$= (-3) × $\frac 13$ =$\frac {-3}{3}$ = -1

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(i) [(– 6) + 5)] ÷ [(–2) + 1] = (-6 + 5) ÷ (-2 + 1) = (-1) ÷ (-1) = (-1) × $\frac {(-1)}{1}$ = 1