Compute each of the following: [4 MARKS]

$(a) 15 + (- 5) + 15 + (- 7)$

$(b) 34 + (- 20) + 16 + (- 10)$

$(c) 32 + 16 + 9 + (- 70)$

$(d) - 3 + (- 2) + (- 5) + 7$

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Solution

Each option: 1 Mark

(a). $[15 + (- 5)] + [15 + (- 7)]$
$\Rightarrow 10 + 8$
$\Rightarrow 18$

(b). $[34 + (- 20)] + [16 + (- 10)]$
$\Rightarrow 14 + 6$
$\Rightarrow 20$

(c). $[32 + 16] + [9 + (- 70)]$
$\Rightarrow [48 + (- 61)]$
$\Rightarrow 48 - 61$
$\Rightarrow - 13$

(d). $[- 3 + (- 2)] + [(- 5) + 7]$
$\Rightarrow - 5 + 2$
$\Rightarrow - 3$

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Similar questions

Compute each of the following:

(a). 15+(-5)+15+(-7)

(b). 34+(-20)+16+(-10)

(c). 32+16+9+(-70)

(d). -3+(-2)+(-5)+7

(e). -53+(-17)

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. Find variance for following data:

Marks	$0 - 4$	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$
Frquency	$2$	$5$	$7$	$13$	$21$	$16$	$8$	$3$

F i n d \frac{- 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{- 14}{9})

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Compute each of the following: [4 MARKS] (a) 15+(−5)+15+(−7) (b) 34+(−20)+16+(−10) (c) 32+16+9+(−70) (d) −3+(−2)+(−5)+7

Each option: 1 Mark (a). [15+(−5)]+[15+(−7)] ⇒10+8 ⇒18 (b). [34+(−20)]+[16+(−10)] ⇒14+6 ⇒20 (c). [32+16]+[9+(−70)] ⇒[48+(−61)] ⇒48−61 ⇒−13 (d). [−3+(−2)]+[(−5)+7] ⇒−5+2 ⇒−3

Compute each of the following: [4 MARKS]

$(a) 15 + (- 5) + 15 + (- 7)$

$(b) 34 + (- 20) + 16 + (- 10)$

$(c) 32 + 16 + 9 + (- 70)$

$(d) - 3 + (- 2) + (- 5) + 7$