1. 1-2 Exponents and Order of Operations Hubarth Algebra

2. To simplify a numerical expression means to write the expression in simplest form. example An exponent tells how many times a number, the base, is used as a factor. A power has two parts a base and an exponent. base exponent power You read this expression as “two to the forth power”. To simplify 2 4, you replace it with its simplest name, 16. There are special names 2 3, “two cubed”, and 2 2, “two squared”.

3. Look at the expression below. It simplified in two ways. Which is correct? Different answers Which is correct? The correct answer is 5 To avoid having two different results Mathematician have agreed upon an order of operation. We use PEMDAS to recognize the order of operation.

4. P arenthesis can be any separation bars E xponents M ultiplication D ivision A ddition S ubtraction Multiplication and Division is done left to right Addition and Subtraction is done left to right

5. Ex 1 Simplifying a Numerical Expression 1 st exponents 2 nd multiplication 3 rd subtractionRemember addition and subtraction is done in order left to right 4 th addition 18 Simplified

6. Ex 2 Evaluating an Algebraic Expression 1 st substitute in the values for a and b 2 nd exponents 3 rd multiplication Remember multiplication and division is done in order left to right. 4 th division 19 Simplified

7. Ex 3 Simplifying an Expression With Parenthesis simplify within the parenthesis multiplication Division

8. Ex 4 Evaluating Expressions With Exponents substitution simplify within parenthesis simplify exponents substitution exponents simplify

9. Ex 5 Simplifying an Expression parenthesis exponents division simplify

10. Practice 26 13 7 309762816