Evaluate - i-14-5-6-7- ii-7-6-18-91- iii-125-72-9-5- iv-11-9-51-44- v-16-5-20-8

(i) 14/5× 6/7 =( 14)×( 6)/5×7=( 2)×( 6)/5×1 = 12/7=22/5 (ii) 7/6× 18/91 =7×( 18)/6×91=1×( 3)/1×13= 3/13 (iii) 125/72×9/ 5 =( 125)×9/72× 5=25×1/8×1 =25/ ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

Evaluate : i ...

Question

Evaluate :
$(i) \frac{- 14}{5} \times \frac{- 6}{7} (i i) \frac{7}{6} \times \frac{- 18}{91} (i i i) \frac{- 125}{72} \times \frac{9}{- 5} (i v) \frac{- 11}{9} \times \frac{- 51}{- 44} (v) - \frac{16}{5} \times \frac{- 20}{8}$

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Solution

$(i) \frac{- 14}{5} \times \frac{- 6}{7} = \frac{(- 14) \times (- 6)}{5 \times 7} = \frac{(- 2) \times (- 6)}{5 \times 1} = \frac{12}{7} = 2 \frac{2}{5} (i i) \frac{7}{6} \times \frac{- 18}{91} = \frac{7 \times (- 18)}{6 \times 91} = \frac{1 \times (- 3)}{1 \times 13} = \frac{- 3}{13} (i i i) \frac{- 125}{72} \times \frac{9}{- 5} = \frac{(- 125) \times 9}{72 \times - 5} = \frac{25 \times 1}{8 \times 1} = \frac{25}{8} = 3 \frac{1}{3} (i v) \frac{- 11}{9} \times \frac{- 51}{- 44} = \frac{(- 11) \times (- 51)}{9 \times (- 44)} = \frac{1 \times (- 51)}{9 \times 4} = \frac{- 51}{36} = \frac{17}{12} (v) - \frac{16}{5} \times \frac{- 20}{8} = \frac{(- 16) \times 20}{5 \times 8} = \frac{(- 2) \times 4}{1 \times 1} = - 8$

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Similar questions

Q. Simplify:

(i)(−8) × 9 + (−8) × 7
(ii) 9 × (−13) + 9 × (−7)
(iii) 20 × (−16) + 20 × 14
(iv) (−16) × (−15) + (−16) × (−5)
(v) (−11) × (−15) + (−11) × (−25)
(vi) 10 × (−12) + 5 × (−12)
(vii) (−16) × (−8) + (−4) × (−8)
(viii) (−26) × 72 + (−26) × 28

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

Q. Evaluate.
(i) 9 × (− 3) × (− 6)
(ii) (− 5) × (− 10) × (− 7) × 2
(iii) (− 18) × (− 43) × 0
(iv) (− 9) × (− 8) × (− 1) × 1
(v) − 12 × (− 15) × 6 × 4
(vi) − 7 × (− 4) × (− 6) × (− 2)

Evaluate: [(90 + 4) $\div$ 2 – 6 $\times$ 6 $\div$ 2+ {(7 + 4) $\times$ 10} + 8 $\times$ 9 – 5] $\times$ 10 + 8

Q. In a shop, different sizes of shoes sold in a week are 7, 9, 8, 6, 7, 10, 6, 7, 8, 9, 11, 5, 6, 7, 8, 5, 9, 10, 9, 11, 12, 8, 3, 3, 5, 4, 6, 7, 4, 6, 7, 8, 8, 6, 9. What is the difference of the number between shoes sold of size 6 and size 7?

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Evaluate : (i) −145×−67(ii) 76×−1891(iii) −12572×9−5(iv) −119×−51−44(v) −165×−208

Evaluate :
$(i) \frac{- 14}{5} \times \frac{- 6}{7} (i i) \frac{7}{6} \times \frac{- 18}{91} (i i i) \frac{- 125}{72} \times \frac{9}{- 5} (i v) \frac{- 11}{9} \times \frac{- 51}{- 44} (v) - \frac{16}{5} \times \frac{- 20}{8}$