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Section Vocab

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**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

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

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Irrational Number A non-repeating, non-terminating decimal

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**Classify each using symbols**

Z, Q, R 1. -6 2. 0 3. ¾ 5. 1 6. π W, Z, Q, R Q, R Q, R N, W, Z, Q, R I, R

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**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

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

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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.

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**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

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

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**Vocab to know! Inequality symbols: >, <, ≠, ≤, ≥**

Inequality: a sentence formed by placing an inequality symbol between two expressions

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**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

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

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**Types of Grouping Symbols**

Parentheses ( ) Brackets [ ] Bar (fraction bar) _____ Complete the practice problems!

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