# Algebra I, Chapter 2, McDougal Littell Structure and Method Book 1

## 13 terms · vocabulary

### commutative property of addition

changing the order of addends does not change the sum, i.e. if a and b are two real numbers, then a + b = b + a.

### commutative property of multiplication

changing the order of factors does not change the product, i.e. if a and b are two real numbers, then a × b = b × a.

### associative property of addition

when we add more than two numbers the grouping of the addends does not change the sum. (3 + 6) + 8 = 3 + (6 + 8)

### associative property of multiplication

when we multiply more than two numbers the grouping of the factors does not change the product. (2 × 4) × 3 = 2 × (4 × 3)

### identity property of addition

the sum of zero and any number or variable is the number or variable itself.
For example, 4 + 0 = 4, - 11 + 0 = - 11, y + 0 = y

### property of opposites

For every real number "a", there is a unique real number "-a" such that a + (-a) = 0 and (-a) + a = 0

### distributive property

the product of a number and a sum is equal to the sum of the individual products of the addends and the number.
That is, a(b + c) = ab + ac.

### equivalent

the same or equal

### simplifying the expression

replacing an expression containing variables by an equivalent expression with as few terms as possible

### identity property of multiplication

the product of 1 and any number or variable is the number or variable itself.
For example, 4 × 1 = 4, - 11 × 1 = - 11, y × 1 = y

### consecutive integers

numbers obtained by counting ones from any number in the set of integers

### reciprocal

If the product of two numbers is 1, then the two numbers are said to be reciprocals of each other. The reciprocal of 'a' is .

### property of reciprocals

For every nonzero real number "a", there is a unique real number "1/a" such that a x 1/a = 1 and 1/a x a = 1