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Distributive Property of Rational Numbers

Some problems...

Question

Some problems to do in your head.

(i)

(ii)

(iii)

(iv) 0.5 × (−0.3)

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Solution

(i)

(ii)

(iii)

× =

=

= −

(iv)

0.5 × (−0.3) = −(0.5 × 0.3)

= −0.15

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Similar questions

Some problems to do in head.

(i) (130 − 47) + 17

(ii)

(iii) (298 − 4.75) + 3.75

Can you work the multiplication out in your head?

(i) 3 × (−4)

(ii) 4 × (−3)

(iii)

(iv)

(v)

(vi) 3 × (−0.3)

(vii) 20 × (−0.4)

(viii) 9 × (−0.1)

Using the rule, can’t you do these in your head?

(i) (−3) × 4

(ii) (−4) × 7

(iii) (−1) × 9

(iv) (−5) × 4

(v) (−2) × 5

(vi)

(vii)

(viii)

(ix)

(x) (−0.5) × 0.2

(xi) (−0.4) × 0.3

Now compute these.

(i) $- 4 + 1$

(ii) $- 5 + 3$

(iii) $- 9 + 2$

(iv) $- 12 + 8$

(v) $- 14 + 1$

(vi) $- \frac{3}{4} + \frac{1}{4}$

Can’t you do these in your head?

(i) (13 × 8) + (7 × 8)

(ii) (15 × 9) + (5 × 9)

(iii)

(iv)

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