which of the following is distributive law of
Answers
Step-by-step explanation:
What is Distributive Property?
To “distribute” means to divide something or give a share or part of something.
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Distributive property of multiplication and division over addition and subtraction
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Here’s an example of how the result does not change when solved normally and when solved using the distributive property.
( 5 + 7 + 3 ) x 4
= 15 x 4
= 60
( 5 + 7 + 3 ) x 4
= 5 x 4 + 7 x 4 + 3 x 4
= 60
The distributive property helps in making difficult problems simpler. You can use the distributive property of multiplication to rewrite expression by distributing or breaking down a factor as a sum or difference of two numbers.
Here, for instance, calculating 8 × 27 can made easier by breaking down 27 as 20 + 7 or 30 − 3.
The distributive property of multiplication over addition: The distributive property of multiplication over subtraction:
8 × ( 20 + 7 )
= 8 × 20 + 8 × 7
= 160 + 56
= 216
8 × ( 30 − 3 )
= 8 × 30 − 8 × 3
= 240 − 24
= 216
Fun Facts
Even though division is the inverse of multiplication, the distributive law only holds true in case of division, when the dividend is distributed or broken down. For instance, using the distributive law for 132 6, 132 can be broken down as 60 60 + 12, thus making division easier. However, 132 (4 2) will give you the wrong result.