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सी. बी. एस. ई.माध्यमिक शाळा (इंग्रजी माध्यम) इयत्ता ८
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Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: 7 4 × ( − 8 3 + − 13 12 ) = 7 4 × − 8 3 + 7 4 × − 13 12

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प्रश्न

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

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

 Distributivity of multiplication over addition

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Properties of Rational Numbers - Distributive Property of Multiplication Over Addition for Rational Numbers
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Verify the property: x × y = y × x by taking:

\[x = 0, y = \frac{- 15}{8}\]

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

\[x = 0, y = \frac{- 3}{5}, z = \frac{- 9}{4}\]

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

`(-5)/4 xx [8/5 + 16/15]`

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

\[\frac{- 5}{16} \times \frac{8}{15} = \frac{8}{15} \times \frac{- 5}{16}\]

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:

\[\frac{2}{13} \times 0 = 0 = 0 \times \frac{2}{13}\]

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

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

By what number should we multiply \[\frac{- 8}{13}\]

 so that the product may be 24?


Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.

`x = (-1)/2, y = 2/3, z = 3/4`


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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