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Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: − 3 2 × 5 4 + − 3 2 × − 7 6 = − 3 2 × ( 5 4 + − 7 6 ) - Mathematics

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प्रश्न

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times \left( \frac{5}{4} + \frac{- 7}{6} \right)\]
योग

उत्तर

Distributive property

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अध्याय 1: Rational Numbers - Exercise 1.6 [पृष्ठ ३२]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 1 Rational Numbers
Exercise 1.6 | Q 6.8 | पृष्ठ ३२

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संबंधित प्रश्न

Verify the property: x × (y + z) = x × y + x × z by taking:

\[x = \frac{- 3}{7}, y = \frac{12}{13}, z = \frac{- 5}{6}\]

Verify the property: x × (y + z) = x × y + x × z by taking:

\[x = \frac{- 8}{3}, y = \frac{5}{6}, z = \frac{- 13}{12}\]

Use the distributivity of multiplication of rational numbers over their addition to simplify: 

`2/7 xx [7/16 - 21/4]`

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{- 17}{5} \times 9 = 9 \times \frac{- 17}{5}\]

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{7}{4} \times \left( \frac{- 8}{3} + \frac{- 13}{12} \right) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}\]

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{- 5}{9} \times \left( \frac{4}{15} \times \frac{- 9}{8} \right) = \left( \frac{- 5}{9} \times \frac{4}{15} \right) \times \frac{- 9}{8}\]

By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]


Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.


Verify the property x + y = y + x of rational numbers by taking

`x = (-2)/3, y = (-5)/6`


Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

Name Distance covered (km)
Seema `1/25`
Nancy `1/32`
Megha `1/40`
Soni `1/20`

Who walked farther, Nancy or Megha?


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