How do you use the distributive property of multiplication over addition?
How do you use the distributive property of multiplication over addition?
The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. As we have like terms, we usually first add the numbers and then multiply by 5. But, according to the property, you can first multiply every addend by 5.
What is distributive law of multiplication over addition?
distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
Why is multiplication distributive over addition?
distributive property of multiplication over addition. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
What is the distributive property of multiplication over addition and subtraction?
The distributive property of the multiplication formula is applied on addition and subtraction and is expressed as: a(b+c) = ab + bc. a(b-c) = ab – bc.
What is the distributive property with addition?
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.
Which of the following is an example of distributive property of multiplication over addition or subtraction?
What is Distributive Property?
| 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 |
Which expression is an example for multiplication is distributive over addition?
The distributive property of multiplication over addition is used when we multiply a value by the sum of two or more numbers. For example, let us solve the expression: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.
Which of the following is an example of distributive property of multiplication over addition for rational numbers a?
Here, – 1 4 × { 2 3 + ( – 4 7 ) } = [ – 1 4 × 2 3 ] + [ – 1 4 × ( – 4 7 ) ] is the example of distributive property of multiplication over addition for rational numbers.
Which of the following is an example of distributive property of multiplication over addition for rational numbers a/b c?
(d) -1/4 × {2/3 + (-4/7)} = {2/3 + (-4/7)} – 1/4. Solution: The distributive property states that any expression with three numbers A, B, and C, given in form A (B + C) then it is resolved as A × (B + C) = AB + AC or A (B – C) = AB – AC.