The property x-y-z-x- y-x- z is known as -

X×(y+z)=x× y+x× z is the distributive property of multiplication over addition. nbsp; For example, 6 x (5 + 2) = (6 x 5) + (6 x 2). ...

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Standard V

Mathematics

Numbers

The property ...

Question

The property $x \times (y + z) = x \times y + x \times z$ is known as ___________.

closure property

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commutative property

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distributive property

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associative property

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Solution

The correct option is C distributive property
$x \times (y + z) = x \times y + x \times z$ 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. 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. 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}

By using properties of determinants, show that:

Verify the property: $x \times (y \times z) = (x \times y) \times z b y t a k i n g :$

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

Question 109(i)
Verify the property $x \times (y \times z) = (x \times y) \times z$ of rational numbers by using
$x = 1, y = \frac{- 1}{2}$ and $z = \frac{1}{4}$
and what is the name of this property?

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The property x×(y+z)=x×y+x×z is known as ___________.

The correct option is C distributive propertyx×(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 $x \times (y + z) = x \times y + x \times z$ is known as ___________.

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