The property x -y-z-x - y-x - z represents propertyA- CommutativeB- ClosureC- AssociativeD- Distributive

The correct option is D Distributivex×(y+z)=x× y+x× z is the distributive property of multiplication over addition. For example, 6 x (5 + 2) = (6 x 5) + (6 x 2 ...

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Standard VIII

Mathematics

Distributive Property

The property ...

Question

The property $x \times (y + z) = x \times y + x \times z$ represents property .

Commutative

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Closure

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Associative

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Distributive

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Solution

The correct option is D Distributive
$x \times (y + z) = x \times y + x \times z$ is the distributive property of multiplication over addition.
For example, 6 x (5 + 2) = (6 x 5) + (6 x 2).

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Similar questions

Q. The property

x \times (y + z) = x \times y + x \times z

represents property .

Q. For the following values of x, y and z. Verify the distributive property of rational numbers: [4 MARKS]

x \times (y + z) = x \times y + x \times z

x = - 3, y = \frac{9}{2}, z = \frac{- 7}{9}

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

(i)

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

(ii)

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

(iii)

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

(iv)

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

Q. The property

x \times (y + z) = x \times y + x \times z

is known as ___________.

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

(i)

x = \frac{- 7}{3}, y = \frac{12}{5}, z = \frac{4}{9}

(ii)

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

(iii)

x = \frac{1}{2}, y = \frac{5}{- 4}, z = \frac{- 7}{5}

(iv)

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

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The property x×(y+z)=x×y+x×z represents property .

The correct option is D Distributivex×(y+z)=x×y+x×z is the distributive property of multiplication over addition. For example, 6 x (5 + 2) = (6 x 5) + (6 x 2).

The property $x \times (y + z) = x \times y + x \times z$ represents property .

The correct option is D Distributive
$x \times (y + z) = x \times y + x \times z$ is the distributive property of multiplication over addition.
For example, 6 x (5 + 2) = (6 x 5) + (6 x 2).