Chapter 1: Equations and Inequalities Section 1.1

Origin

A fixed point from which coordinates are measured.

reciprocal

(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2

Integers

All whole numbers (both positive and negative) and zero.

Inverse Property

An inverse operation. Subtraction is the inverse of addition.

Rational Numbers

Any number that can be expressed as a fraction

Associative property of addition

Changing the grouping of addends does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4)(2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Commutative property of addition:

Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 44+2=2+44, plus, 2, equals, 2, plus, 4.

Properties of Additional Multiplication

Commutative property of addition: Changing the order of addends does not change the sum. ... Associative property of addition: Changing the grouping of addends does not change the sum. ... Identity property of addition: The sum of 0 00 and any number is that number

Closure

Filling in gaps to create a complete, whole object.

Coordinate

Point on Graph

Identity property of addition:

The sum of 000 and any number is that number. For example, 0 + 4 = 40+4=40, plus, 4, equals, 4.

opposite

Two numbers that have the same absolute value but have opposite signs.

Whole Numbers

a number without fractions; an integer.

Graph

instrument for recording

distributive property

lets you multiply a sum by multiplying each addend separately and then add the products.