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)

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Solution

(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

(e). [-53-17] = -70

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Similar questions

Compute each of the following: [4 MARKS]

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

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

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

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

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

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Q. Solve the problem:-

\frac{5}{12} \div 112

\frac{12}{17} \div \frac{108}{34}

\frac{8}{15} \div \frac{32}{15}

Q. In a triangle ABC, a:b:c=4:5:6, then the ratio of circumradius to inradius will be .

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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)

(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 (e). [-53-17] = -70

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)

(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

(e). [-53-17] = -70