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Multiplication of Numbers

Simplify each...

Question

Simplify each of the following:
(i) 124 − (12 − 2) × 9
(ii) (13 + 7) × (9 − 4) − 18
(iii) 210 − (14 − 4) × (18 + 2) − 10

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Solution

(i) 124 − (12 − 2) × 9
= 124 − 10 × 9
= 124 − 90
= 34
(ii) (13 + 7) × (9 − 4) − 18
= 20 × 5 − 18
= 100 − 18
= 82
(iii) 210 − (14 − 4) × (18 + 2) − 10
= 210 − 10 × 20 − 10
= 210 − 200 − 10
= 210 − 210
= 0

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Similar questions

$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5} (i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

Q. Simplify:

(1)

18^{\frac{1}{4}} \times 18^{\frac{1}{5}}

7^{\frac{1}{3}} \div 7^{\frac{1}{5}}

{(4^{\frac{1}{2}})}^{\frac{1}{9}}

{(9 \times 5)}^{\frac{1}{6}}

x^{\frac{1}{7}} \div x^{\frac{1}{10}}

{(x y)}^{\frac{1}{2}}

{(y^{\frac{1}{3}})}^{\frac{1}{2}}

{(m^{\frac{1}{3}})}^{\frac{1}{7}}

p^{\frac{1}{2}} \times p^{\frac{1}{2}}

m^{\frac{1}{3}} \times m^{\frac{1}{3}}

{(7 \times 9)}^{\frac{1}{5}}

{(m n)}^{\frac{1}{p}}

x^{\frac{1}{8}} \div x^{\frac{1}{11}}

x^{\frac{1}{2}} \div x^{\frac{1}{2}}

{(13 \div 15)}^{\frac{1}{7}}

Q. Work out the following simplify your answer where possible.

a) 7 \div \frac{9}{8} =_____

b) 14 \div \frac{7}{9} =_____

c) 24 \div \frac{12}{13} =_____

d) 4 \div \frac{3}{4} =_____

e) 18 \div \frac{9}{10} =_____

f) 27 \div \frac{3}{4} =_____

\frac{x^{2} - 7 x + 10}{x^{2} + 5 x - 14} \times \frac{x^{2} + 4 x - 21}{x^{2} - 9 x + 18} .

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