The distributive property involves multiplying over grouped addition or subtraction terms. It states that you multiply the number outside of the parenthesis by each term inside of the parenthesis, and then add or subtract as in the original.
You can think of distributing as handing out, or giving something out. You’re giving out the number on the outside of the parenthesis to the numbers on the inside of the parenthesis.
The next lesson: Polynomials
The transcript is provided for your convenience
We’re going to look at two examples. One with addition, and one with subtraction.
If we were doing 2(5+3), then we could use the distributive property to simplify this by distributing the 2 to the 5, 2(5)+2(3). Then we would simplify. According to PEMDAS, we need to multiply first. So, 2(5) is 10, plus 2(3) is 6. Finally, we combine 10+6 for 16.
Let’s look at the subtraction problem. If we wanted to simplify 4(5-2), we would start by multiplying 4(5)-4(2).
And then we would simplify. Following the order of operations, we’re going to multiply first. 4(5) is 20, minus 4(2) is 8. And 20-8 is 12.
GED video preparation is made easy and gives you a head start for successfully taking the GED, TASC or HiSET exam. Don’t hesitate to also check our 236 free and powerful practice tests