How do I identify the property used in a number sentence?
http://www.coolmath.com/prealgebra/06-properties
0+17=17
357 + 0=357 identify the property or rule used
To identify the property used in a number sentence, you need to understand the various mathematical properties and their definitions. Here are the most commonly used properties:
1. Commutative Property: This property allows you to add or multiply numbers in any order without changing the result. For addition, it states that a + b = b + a. For multiplication, it states that a × b = b × a.
2. Associative Property: This property allows you to change the grouping of numbers when adding or multiplying without changing the result. For addition, it states that (a + b) + c = a + (b + c). For multiplication, it states that (a × b) × c = a × (b × c).
3. Distributive Property: This property allows you to distribute multiplication over addition or subtraction. It states that a × (b + c) = (a × b) + (a × c).
4. Identity Property: This property states that when you add zero to a number, or multiply a number by one, the result is the original number. For addition, it states that a + 0 = a. For multiplication, it states that a × 1 = a.
5. Inverse Property: This property states that for every number, there exists an additive inverse and a multiplicative inverse. The additive inverse states that for any number a, there exists -a such that a + (-a) = 0. The multiplicative inverse states that for any number a (except zero), there exists 1/a such that a × (1/a) = 1.
To identify which property is used in a number sentence, you need to analyze how the numbers are manipulated and check which property aligns with the operation(s) performed. Look for patterns or rules that are being applied to the numbers.