What are some examples of distributive property?
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 |
How do you use the distributive property to solve problems?
Distributive property with exponents
- Expand the equation.
- Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
- Combine like terms.
- Solve the equation and simplify, if needed.
What is distributive property over addition?
Distributive Property of Multiplication Over Addition The distributive property of multiplication over addition states that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend individually by the number and then adding or the products together.
Which number sentence is an example of the distributive property?
2 × (35 − 11) = (2 × 35) − (2 × 11) is an example of the distributive property. One of these numbers makes a true number sentence. Try again. The distributive property says that A × (B − C) = (A × B) − (A × C)….Click Go On to begin.
| A × (B + C) | = | (A × B) + (A × C) |
|---|---|---|
| 3 × (5 + 4) | = | (3 × 5) + (3 × 4) |
| 3 × 9 | = | 15 + 12 |
| 27 | = | 27 |
Which equation is an example of distributive property?
It is used to solve expressions easily by distributing a number to the numbers given in brackets. For example, if we apply the distributive property of multiplication to solve the expression: 4(2 + 4), we would solve it in the following way: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.
What’s a distributive property in math?
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Then we need to remember to multiply first, before doing the addition!
What is the distributive property of 14 * 6?
Answer: 14 × 6 = 84.
What is the distributive property of addition?
The Distributive Property states that, for real numbers a, b, and c, two conditions — a ( b + c) = ab + ac and a ( b – c) = ab – ac — are always true. The Distributive property applies to all real numbers with multiplication and addition, and multiplication and subtraction.
How to solve complex division problems using distributive property?
Distributive property of division is very helpful to solve complex division problems in simple manner. According to distributive property of division (A + B ) / C = A/C + B/C. Example Divide 108 by 9. 108 can be written as 99 + 9. So the division can be expressed as: (99 + 9) / 9 Using distributive property of division 99/9 + 9/9 11 + 1 12
Does the distributive property apply to the Order of operations?
Regardless of whether you use the distributive property or follow the order of operations, you’ll arrive at the same answer. In the first example below, we simply evaluate the expression according to the order of operations, simplifying what was in parentheses first. Multiply, or distribute, the outer term to the inner terms.
How to do distributive property with exponents?
Distributive property with exponents 1 Expand the equation. 2 Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. 3 Combine like terms. 4 Solve the equation and simplify, if needed.