(9 x 4) + (9 x 0.7) = 36 + 6.3 = 42.3
Distributive PropertyThe Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property.Why is the following true? 2(x + y) = 2x + 2ySince they distributed through the parentheses, this is true by the Distributive Property.Use the Distributive Property to rearrange: 4x - 8The Distributive Property either takes something through a parentheses or else factors something out. Since there aren't any parentheses to go into, you must need to factor out of. Then the answer is "By the Distributive Property, 4x - 8 = 4(x - 2)""But wait!" you say. "The Distributive Property says multiplication distributes over addition, not subtraction! What gives?" You make a good point. This is one of those times when it's best to be flexible. You can either view the contents of the parentheses as the subtraction of a positive number ("x - 2") or else as the addition of a negative number ("x + (-2)"). In the latter case, it's easy to see that the Distributive Property applies, because you're still adding; you're just adding a negative.The other two properties come in two versions each: one for addition and the other for multiplication. (Note that the Distributive Property refers to both addition and multiplication, too, but to both within just one rule.)
multiplication
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For example, you use it every time you do a multiplication. For example, in the following multiplication: 13 x 2 --- 26 Actually 13 is being split into two parts, 10 + 3, and then the distributive property is applied.
South koriya
Please restate your question, or include your list of "following statements".
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.
DON'T write "the following" if you don't provide a list.
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