Multiply each rational number- given below- by one1- i-7-5- ii-3-4- iii- 0- iv-8-13- v-6-5

(i) 7/ 5 =7/ 5×1=1×(7/ 5 )=7/ 5 (ii) 3/ 4 = 3/ 4×1=1×( 3/ 4 )=3/4 (iii) 0 =0×1=1×0=0 (iv) 8/13 = 8/13×1=1×( 8/13 )= 8/13 (v) 6/ 5 = 6/ 7×1=1×( 6/ 7 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

Multiply each...

Question

$Multiply each rational number, given below, by one(1) : (i) \frac{7}{- 5} (i i) \frac{- 3}{- 4} (i i i) 0 (i v) \frac{- 8}{13} (v) \frac{- 6}{- 5}$

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Solution

$(i) \frac{7}{- 5} = \frac{7}{- 5} \times 1 = 1 \times (\frac{7}{- 5}) = \frac{7}{- 5} (i i) \frac{- 3}{- 4} = \frac{- 3}{- 4} \times 1 = 1 \times (\frac{- 3}{- 4}) = \frac{3}{4} (i i i) 0 = 0 \times 1 = 1 \times 0 = 0 (i v) \frac{- 8}{13} = \frac{- 8}{13} \times 1 = 1 \times (\frac{- 8}{13}) = \frac{- 8}{13} (v) \frac{- 6}{- 5} = \frac{- 6}{- 7} \times 1 = 1 \times (\frac{- 6}{- 7}) = \frac{6}{7}$

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Similar questions

$Write the reciprocal (multiplicative inverse) of each rational number, given below : (i) 5 (i i) - 3 (i i i) \frac{5}{11} (i v) \frac{- 7}{- 8} (v) \frac{- 7}{- 8} (v i) \frac{15}{- 17}$

Mark each pair of numbers given below on the number line and check whether the distance between them is equal to the number got by subtracting the smaller from the larger:

(i) 1, −5

(ii) −3, −4

(iii) −1, 1

(iv) 0, 4

(v) 0, −4

(vi)

For each set of rational numbers, given below, verify the associative property of addition of rational numbers:
$(i) \frac{1}{2}, \frac{2}{3} and - \frac{1}{6} (i i) \frac{- 2}{5}, \frac{4}{15} and \frac{- 7}{10} (i i i) \frac{- 7}{9}, \frac{2}{- 3} and \frac{- 5}{18} (i v) - 1, \frac{5}{6} ~ a n d \frac{- 2}{3}$

$Name the multiplication property of rational numbers shown below: (i) \frac{3}{5} \times \frac{- 8}{9} = \frac{- 8}{9} \times \frac{3}{5} (i i) \frac{- 3}{4} \times (\frac{5}{7} \times \frac{- 8}{15}) = (\frac{- 3}{5} \times \frac{5}{7}) \times \frac{- 8}{15} (i i i) \frac{4}{5} \times (\frac{3}{- 8} + \frac{- 4}{7}) = \frac{4}{5} \times \frac{3}{- 8} + \frac{4}{5} \times \frac{- 4}{7} (i v) \frac{- 7}{5} \times \frac{5}{- 7} = 1 (v) \frac{8}{- 9} \times 1 = 1 \times \frac{8}{- 9} = \frac{8}{- 9} (v i) \frac{- 3}{4} \times 0 = 0$

Q. Find each of the following products:

(i) 3 × 4 × (−5)
(ii) 2 × (−5) × (−6)
(iii) (−5) × (−8) × (−3)
(iv) (−6) × 6 × (−10)
(v) 7 × (−8) × 3
(vi) (−7) × (−3) × 4

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Multiply each rational number, given below, by one(1):(i) 7−5(ii) −3−4(iii) 0(iv) −813(v) −6−5

(i) 7−5=7−5×1=1×(7−5)=7−5(ii) −3−4=−3−4×1=1×(−3−4)=34(iii) 0=0×1=1×0=0(iv) −813=−813×1=1×(−813)=−813(v) −6−5=−6−7×1=1×(−6−7)=67

$Multiply each rational number, given below, by one(1) : (i) \frac{7}{- 5} (i i) \frac{- 3}{- 4} (i i i) 0 (i v) \frac{- 8}{13} (v) \frac{- 6}{- 5}$