Translating Math to Words
Number Properties
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Commutative Property:
The word "commutative" means to "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 8 = 8 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2(3) = 3(2). Any time they refer to the Commutative Property, they want you to move stuff around; any time a computation depends on moving stuff around, they want you to say that the computation uses the Commutative Property.
Use the Commutative Property to restate "7×2×x" in at least two ways.They want me to move stuff around, not simplify. In other words, my answer should not be "14x"; the answer instead can be any two of the following: 7 × 2 × x 2 × x × 7 7 × x × 2 x × 2 × 7 x × 7 × 2 Explanations adapted from PURPLE MATH. |
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Identity Property of Zero:
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Identity Property of 1:
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Additive & Multiplicative Inverse Property
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Associative Property
The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4. Any time they refer to the Associative Property, they want you to regroup things; any time a computation depends on things being regrouped, they want you to say that the computation uses the Associative Property.
(2×3)x
2(3x) : original (given) statement (2×3) x : by the Associative Property 6x : simplification of 2×3 Explanations adapted from PURPLE MATH. |
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Distributive Property
Distributive Property:
The 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, for example, 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.
Explanations from PURPLE MATH.
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Summary Chart of Properties
From Georgia Virtual School Shared Resources
Practice quiz on number properties!!!
click here
Integer Skills
What does ABSOLUTE VALUE MEAN? HOw can I figure it out for positive and negative numbers?
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What are negative numbers and how do we use them in the real world??
Comparing NUmbers
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