हिंदी

Simplify the following by using suitable property. Also name the property. [12×14]+[12×6]

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प्रश्न

Simplify the following by using suitable property. Also name the property.

`[1/2 xx 1/4] + [1/2 xx 6]`

सरल रूप दीजिए
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उत्तर

Given, `[1/2 xx 1/4] + [1/2 xx 6]`

= `1/2[1/4 + 6]`  ...[Using distributive property over addition]

= `1/2[(1 + 24)/4]`  

= `25/8`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Rational Numbers - Exercise [पृष्ठ १९]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 8
अध्याय 1 Rational Numbers
Exercise | Q 106. (a) | पृष्ठ १९

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संबंधित प्रश्न

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

\[x = \frac{5}{7}, y = \frac{- 12}{13}, z = \frac{- 7}{18}\]

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

\[x = \frac{- 12}{5}, y = \frac{- 15}{4}, z = \frac{8}{3}\]

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

\[x = \frac{- 3}{4}, y = \frac{- 5}{2}, z = \frac{7}{6}\]

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

`3/4 xx [8/9 - 40]`

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:

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

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

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

By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]


Which of the following is an example of distributive property of multiplication over addition for rational numbers?


Simplify the following by using suitable property. Also name the property.

`[1/5 xx 2/15] - [1/5 xx 2/5]`


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