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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

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

\[x = \frac{- 3}{4}, y = \frac{- 5}{2}, z = \frac{7}{6}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

`3/5 xx [35/24 + 10/1]`
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

`(-5)/4 xx [8/5 + 16/15]`
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

`2/7 xx [7/16 - 21/4]`
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

`3/4 xx [8/9 - 40]`
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{- 5}{16} \times \frac{8}{15} = \frac{8}{15} \times \frac{- 5}{16}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{- 17}{5} \times 9 = 9 \times \frac{- 17}{5}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{7}{4} \times \left( \frac{- 8}{3} + \frac{- 13}{12} \right) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{- 5}{9} \times \left( \frac{4}{15} \times \frac{- 9}{8} \right) = \left( \frac{- 5}{9} \times \frac{4}{15} \right) \times \frac{- 9}{8}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{13}{- 17} \times 1 = \frac{13}{- 17} = 1 \times \frac{13}{- 17}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{- 11}{16} \times \frac{16}{- 11} = 1\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{2}{13} \times 0 = 0 = 0 \times \frac{2}{13}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times \left( \frac{5}{4} + \frac{- 7}{6} \right)\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

By what number should we multiply \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]

[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

 so that the product may be 24?

[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

Find the square root of:

\[\frac{441}{961}\] 

[5] Squares and Square Roots
Chapter: [5] Squares and Square Roots
Concept: undefined >> undefined

Find the square root of:

\[\frac{324}{841}\]

[5] Squares and Square Roots
Chapter: [5] Squares and Square Roots
Concept: undefined >> undefined

Multiply: \[\left( \frac{x}{7} + \frac{x^2}{2} \right)by\left( \frac{2}{5} + \frac{9x}{4} \right)\]

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined
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