Question

distributive property of rational number with two example​

Answer 1

$\huge\mathcal\colorbox{red}{{\color{white}{HELLo࿐}}}$

$\huge\color{red}{\textbf{\textsf{QUESTION⇨}}}$

distributive property of rational number with two example

$\huge\color{red}{\textbf{\textsf{ANSWER⇨}}}$

In this property, multiplication distributes over addition. Consider the following.

Example 1 :

(-6) (7 + 10) = (-6) ✖ 17 = - 102

and [(-6) ✖ 7] + [(-6) ✖ 10] = (-42) + (-60) = - 102

(-6) ✖ ( 7 + 10 ) = [( -6 ✖ 7 )] + [( -6) ✖ 10]

Example 2 :

25 ✖ ( 8 + 2 ) = 25 ✖ 10 = 250

( 25 ✖ 8) + ( 25 ✖ 2) = 200 + 50 = 250

25 ✖ (8 + 2 ) = (25 ✖ 8) + (25 ✖ 2 )

Thus, we can see that if a, b and C are three integers,

Then

a ✖ ( b + C) = a ✖ b + a ✖ c

Also note that multiplication distributes over subtraction.

That is, a ✖ (b - c) = ( a ✖ b) - (a ✖ c)

Hence, integers posess the distributive property of multiplication over addition and subtraction.

Answer 2

$\huge\color{yellow}{\textbf{\textsf{QUESTION⇨}}}$

distributive property of rational number with two example

$\huge\color{yellow}{\textbf{\textsf{ANSWER⇨}}}$

In this property, multiplication distributes over addition. Consider the following.

Example 1 :

(-6) (7 + 10) = (-6) ✖ 17 = - 102

and [(-6) ✖ 7] + [(-6) ✖ 10] = (-42) + (-60) = - 102

(-6) ✖ ( 7 + 10 ) = [( -6 ✖ 7 )] + [( -6) ✖ 10]

Example 2 :

25 ✖ ( 8 + 2 ) = 25 ✖ 10 = 250

( 25 ✖ 8) + ( 25 ✖ 2) = 200 + 50 = 250

25 ✖ (8 + 2 ) = (25 ✖ 8) + (25 ✖ 2 )

Thus, we can see that if a, b and C are three integers,

Then

a ✖ ( b + C) = a ✖ b + a ✖ c

Also note that multiplication distributes over subtraction.

That is, a ✖ (b - c) = ( a ✖ b) - (a ✖ c)

Hence, integers posess the distributive property of multiplication over addition and subtraction.

hope it is helpful