Q

# Evaluate each of the following:   (a) (–30) ÷ 10 Exercise 1.4 1

1.   Evaluate each of the following:
(a) (–30) ÷ 10            (b) 50 ÷ (–5)             (c) (–36) ÷ (–9)
(d) (– 49) ÷ (49)        (e) 13 ÷ [(–2) + 1]     (f ) 0 ÷ (–12)
(g) (–31) ÷ [(–30) + (–1)]
(h) [(–36) ÷ 12] ÷ 3    (i) [(– 6) + 5)] ÷ [(–2) + 1]

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Points to keep in mind:

When we divide a negative integer by a positive integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient.

When we divide a positive integer by a negative integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient.

When we divide a negative integer by a negative integer, we first divide them as whole numbers and then put a positive sign (+).

(a) $(-30) \div 10 = -\left (\frac{30}{10} \right ) = -3$

(b) $50 \div (-5) = -\left (\frac{50}{5} \right ) = -10$

(c) $(-36) \div (-9) = +\left (\frac{36}{9} \right ) = 4$

(d) $(-49) \div 49 = -\left (\frac{49}{49} \right ) = -1$

(e) $13 \div [(-2) + 1] = 13 \div (-1)= -\left (\frac{13}{1} \right ) = -13$

(f ) $0 \div (-12)= -\left (\frac{0}{12} \right ) = 0$

(g) $(-31) \div [(-30) + (-1)] = (-31) \div (-31)= +\left (\frac{31}{31} \right ) = 1$

(h)

$\\ \ [(-36) \div 12] \div 3 = \left[-\left (\frac{36}{12} \right ) \right ]\div 3 \\ = (-3) \div 3= -\left (\frac{3}{3} \right ) = -1$

(i)

$\\ \ [(- 6) + 5] \div [(-2) + 1] = \\ = (-1) \div (-1)= +\left (\frac{1}{1} \right ) = 1$

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