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Unlimited access to all gallery answers. When you get to variables, you will have 4(x+3), and since you cannot combine them, you get 4x+12. This right here is 4 times 3. The Distributive Property - Skills Practice and Homework Practice. 8 plus 3 is 11, and then this is going to be equal to-- well, 4 times 11 is just 44, so you can evaluate it that way. Working with numbers first helps you to understand how the above solution works. So if we do that-- let me do that in this direction.
Grade 10 · 2022-12-02. Still have questions? Well, that means we're just going to add this to itself four times. The literal definition of the distributive property is that multiplying a value by its sum or difference, you will get the same result. If you do 4 times 8 plus 3, you have to multiply-- when you, I guess you could imagine, duplicate the thing four times, both the 8 and the 3 is getting duplicated four times or it's being added to itself four times, and that's why we distribute the 4. The commutative property means when the order of the values switched (still using the same operations) then the same result will be obtained. Let me copy and then let me paste. 4 (8 + 3) is the same as (8 + 3) * 4, which is 44.
C and d are not equal so we cannot combine them (in ways of adding like-variables and placing a coefficient to represent "how many times the variable was added". With variables, the distributive property provides an extra method in rewriting some annoying expressions, especially when more than 1 variable may be involved. Distributive property in action. 2*5=10 while 5*2=10 as well. You have to multiply it times the 8 and times the 3.
Gauth Tutor Solution. This is the distributive property in action right here. Why is the distributive property important in math? Provide step-by-step explanations. You would get the same answer, and it would be helpful for different occasions! Then simplify the expression. If you add numbers to add other numbers, isn't that the communitiave property? So this is literally what? 24: 1, 2, 3, 4, 6, 8, 12, 24. So if we do that, we get 4 times, and in parentheses we have an 11. We have it one, two, three, four times this expression, which is 8 plus 3.
Gauthmath helper for Chrome. So in doing so it would mean the same if you would multiply them all by the same number first. For example, 1+2=3 while 2+1=3 as well. So you see why the distributive property works. But when they want us to use the distributive law, you'd distribute the 4 first. Two worksheets with answer keys to practice using the distributive property. And it's called the distributive law because you distribute the 4, and we're going to think about what that means. Those two numbers are then multiplied by the number outside the parentheses. So this is 4 times 8, and what is this over here in the orange? Ask a live tutor for help now. And then we're going to add to that three of something, of maybe the same thing.
There is of course more to why this works than of what I am showing, but the main thing is this: multiplication is repeated addition. At that point, it is easier to go: (4*8)+(4x) =44. But then when you evaluate it, 4 times 8-- I'll do this in a different color-- 4 times 8 is 32, and then so we have 32 plus 4 times 3. We just evaluated the expression. Learn how to apply the distributive law of multiplication over addition and why it works. We have 8 circles plus 3 circles. Sure 4(8+3) is needlessly complex when written as (4*8)+(4*3)=44 but soon it will be 4(8+x)=44 and you'll have to solve for x.
But what is this thing over here? So what's 8 added to itself four times? We can evaluate what 8 plus 3 is. In the distributive law, we multiply by 4 first. The greatest common factor of 18 and 24 is 6. Ok so what this section is trying to say is this equation 4(2+4r) is the same as this equation 8+16r. So it's 4 times this right here.
Let me do that with a copy and paste. Normally, when you have parentheses, your inclination is, well, let me just evaluate what's in the parentheses first and then worry about what's outside of the parentheses, and we can do that fairly easily here. This is a choppy reply that barely makes sense so you can always make a simpler and better explanation. A lot of people's first instinct is just to multiply the 4 times the 8, but no! If we split the 6 into two values, one added by another, we can get 7(2+4). I remember using this in Algebra but why were we forced to use this law to calculate instead of using the traditional way of solving whats in the parentheses first, since both ways gives the same answer. Let me draw eight of something. Let's take 7*6 for an example, which equals 42.