Find the value of-i -6-23ii -45-2iii 313- -465 iv -28-28

(i) ( 6)/23= 61×32= 6× 31× 2= 182= 9 So, ( 6)/23= 9 (ii) 45/2= 45×12= 4× 15× 2= 2× 15= 25 So, 45/2= 25 (iii) 313/ ( 465 )=313×65 4=3× 6513× ( 4)=15 4= 154 ...

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Standard VI

Mathematics

Distributivity

Find the valu...

Question

Find the value of:
(i) $(- 6) / \frac{2}{3}$
(ii) $\frac{- 4}{5} / 2$
(iii) $\frac{3}{13} / (\frac{- 4}{65})$
(iv) $\frac{- 2}{8} / \frac{- 2}{8}$

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Solution

(i) $(- 6) / \frac{2}{3} = \frac{- 6}{1} \times \frac{3}{2} = \frac{- 6 \times 3}{1 \times 2} = \frac{- 18}{2} = - 9$
So, $(- 6) / \frac{2}{3} = - 9$

(ii) $\frac{- 4}{5} / 2 = \frac{- 4}{5} \times \frac{1}{2} = \frac{- 4 \times 1}{5 \times 2} = \frac{- 2 \times 1}{5} = \frac{- 2}{5}$
So, $\frac{- 4}{5} / 2 = \frac{- 2}{5}$

(iii) $\frac{3}{13} / (\frac{- 4}{65}) = \frac{3}{13} \times \frac{65}{- 4} = \frac{3 \times 65}{13 \times (- 4)} = \frac{15}{- 4} = \frac{- 15}{4}$
So, $\frac{3}{13} / \frac{- 4}{65} = \frac{- 15}{4}$

(iv) $\frac{- 2}{8} / \frac{- 2}{8} = \frac{- 2}{8} \times \frac{8}{- 2} = \frac{(- 2) \times 8}{8 \times (- 2)} = \frac{1 \times 1}{1 \times 1} = 1$
So, $\frac{- 2}{8} / \frac{- 2}{8} = 1$

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Find the value of: (i) (−6)/23 (ii) −45/2 (iii) 313/(−465) (iv) −28/−28

(i) (−6)/23=−61×32=−6×31×2=−182=−9 So, (−6)/23=−9 (ii) −45/2=−45×12=−4×15×2=−2×15=−25 So, −45/2=−25 (iii) 313/(−465)=313×65−4=3×6513×(−4)=15−4=−154 So, 313/−465=−154 (iv) −28/−28=−28×8−2=(−2)×88×(−2)=1×11×1=1 So, −28/−28=1

Find the value of:
(i) $(- 6) / \frac{2}{3}$
(ii) $\frac{- 4}{5} / 2$
(iii) $\frac{3}{13} / (\frac{- 4}{65})$
(iv) $\frac{- 2}{8} / \frac{- 2}{8}$