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Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions for Mathematics

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

\[x = 2, y = \frac{7}{- 8}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = 0, y = \frac{- 15}{8}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = \frac{- 7}{3}, y = \frac{12}{5}, z = \frac{4}{9}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = 0, y = \frac{- 3}{5}, z = \frac{- 9}{4}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

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

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

\[x = \frac{5}{7}, y = \frac{- 12}{13}, z = \frac{- 7}{18}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = \frac{- 3}{7}, y = \frac{12}{13}, z = \frac{- 5}{6}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = \frac{- 12}{5}, y = \frac{- 15}{4}, z = \frac{8}{3}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

\[x = \frac{- 8}{3}, y = \frac{5}{6}, z = \frac{- 13}{12}\]
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined

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

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
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