Determine each of the following products:
(i) 12 ☓ 7
(ii) (−15) ☓ 8
(iii) (−25) ☓ (−9)
(iv) 125 ☓ (−8)

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Solution

(i) 12 × 7 = 84

(ii) (−15) × 8 = −120

(iii) (−25) × (−9) = 225

(iv) 125 × (−8) = −1000

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Now can’t you do these?

(i) −4 + 7

(ii) −3 + 8

(iii) −6 + 9

(iv) −2 + 10

(v) −4 + 12

(vi)

{(m + \frac{n}{7})}^{3} (m - \frac{n}{7})

(\frac{x}{2} - \frac{2}{5}) (\frac{2}{5} - \frac{x}{2}) - x^{2} + 2 x

Verify each of the following :

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

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

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