8 x 12 = (8 x 10) + (8 x 2) = 80 + 16 = 96
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The property that multiplication is distributive over addition means that a*(b+c) = (a*b) + (a*c) The usufulness of this property can be illustrated by the following example: 8*(102) = 8*(100+2) = (8*100) + (8*2) = 800 + 16 = 816. So if you split 102 into 100 and 2, and then use the distributive property, you do not need to work with a large number such as 102.
The commutative property
1. Write equation on paper. 2. Use Distributive Property. 3. Combine like terms. 4. Use reflexive Property. (ex.- adding or subtracting 3x to both sides) 5. Inverses Property of Addition ( answer; almost to final answer) 6. Reflexive Property. (ex.- add or subtract 2 to both sides of equation) 7. Inverse Property of Addition (ex.- 5x=5) 8. Multiplication Property (ex. 5x/5= x=1 OR (1/5)(5x) = 1/5(5)= x=1 9. Final answer (ex: x=1)
You could use it because it shows that its just 7 times 8 flipped!
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. To create an equation that equals 18 using the distributive property, you can use the factors 2 and 9. For example, 2(7 + 4) = 2(7) + 2(4) = 14 + 8 = 18.