Section 1.1-1.2 Vocab

N W Z Q R I Name Symbol Examples Natural Number Whole Number Integer Rational Number Real Number Irrational Number N 1, 2, 3, 4… 0, 1, 2, 3, 4… W Z …-3, -2, -1, 0, 1, 2 ,3… Q R Any Number I

Rational Number Any number that can be written as a fraction, where b 0

Irrational Number A non-repeating, non-terminating decimal

Classify each using symbols Z, Q, R 1. -6 2. 0 3. ¾ 4. 2.25 5. 1 6. π W, Z, Q, R Q, R Q, R N, W, Z, Q, R I, R

ASN (Always, Sometimes, Never) An integer is rational. A real number is a whole number. Π is irrational. A number can be both rational and irrational. A negative number is an integer. Non-terminating, repeating decimals are rational. Always Sometimes Always Never Sometimes Always

The Number Line Coordiante: Each point is paired with exactly one number. Graph: Each number is paired with exactly one point on the line.

Example Problem Example: The coordinate of point P is -3 and the graph of -3 is point P. Find the coordinate of the point one third of the way from C to D for the number line shown.

Vocabulary Terms to know! Numerical Expression: a symbol or group of symbols used to represent a number Value: the number represented by the expression Algebraic Expression: a numerical expression; a variable; sum/difference/product/quotient that contains one or more variables Equation: a sentence formed by placing a equal sign between two expressions

What is the difference between an expression and an equation??

Vocab to know! Inequality symbols: >, <, ≠, ≤, ≥ Inequality: a sentence formed by placing an inequality symbol between two expressions

RECALL Sum: the result of adding numbers Difference: the result of subtracting numbers Product: the result of multiplying numbers Quotient: the result of dividing numbers

RECALL Absolute Value: the absolute value of a number is always positive (could be zero). Order of Operations: PEMDAS

Types of Grouping Symbols Parentheses ( ) Brackets [ ] Bar (fraction bar) _____ Complete the practice problems!