warm up simplify the following expression using order of operations

Warm UpSimplify the following expression using order of operations.

Order of Operations

How do you remember the order of operations?

1.1-1.2 Expressions & Numbers

Order of operations is used to simplify algebraic expressions.

Example of an algebraic expression:

Simplify ExpressionsTo simplify any expression just add like terms.

Like terms are terms that contain the same variables raised to the same power.

Only the coefficients of like terms are different.

Examples

Simplify these expressions.1.

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You Try!

Simplify these expressions.1.

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Evaluate ExpressionsTo evaluate expressions you must replace the variables with the numbers they are equal to, then use order of operations to simplify.

Evaluate the following expression.

Examples

Evaluate these expressions.1.

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You Try!

Evaluate these expressions.1.

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Classifying Real NumbersThere are several different kinds of numbers.

1. Natural Numbers2. Whole Numbers3. Integers4. Rational Numbers5. Irrational Numbers6. Real Numbers

Classifying Real NumbersAll Real Numbers

Classifying Real Numbers

Real Numbers

ExamplesName ALL the sets of numbers to which each example belongs.

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You Try!Name ALL the sets of numbers to which each example belongs.

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Properties Foldable

We will be making a “FIVE TAB” Foldable for the five properties of real numbers.

These properties are used to simplify algebraic expressions.

ExamplesUsing your foldable, name the property illustrated in the following examples.

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You Try!Using your foldable, name the property illustrated in the following examples.

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Finding the Additive InverseThe additive inverse of a number has the opposite sign of the original number.

Check: Add the two numbers together and you should get ZERO.

ExamplesFind the additive inverse for each number.

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You Try!Find the additive inverses for each number.

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Finding the Multiplicative InverseFlip the fraction (reciprocal) and keep the same sign.

Check: Multiply the two numbers together and you should get ONE.

ExamplesFind the multiplicative inverse for each number.

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You Try!Find the multiplicative inverses for each number.

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Homework Lesson 1.1Pg. 7 #’s 18-20

Lesson 1.2Pgs. 14 #’s 1-4, 7-10, 14-15