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Section 1.2 Order of Operations and Evaluating Expressions

Section 1.2 Order of Operations and Evaluating Expressions. 1.2 Order of Operations. Use the order of operations to evaluate expressions. Why is it important to have a set method to solve problems involving more than one operation ?. Goals Essential Question. 1.2 Order of Operations.

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Section 1.2 Order of Operations and Evaluating Expressions

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  1. Section 1.2Order of Operations and Evaluating Expressions

  2. 1.2 Order of Operations • Use the order of operations to evaluate expressions. • Why is it important to have a set method to solve problems involving more than one operation? • Goals • Essential Question

  3. 1.2 Order of Operations • Vocabulary: • Power- has two parts, a base and an exponent • The EXPONENT tells how many times to use the BASE as a factor • EXAMPLE: 23 • Can be read as “two to the third power” or “two cubed” • 2•2•2 • =8 • This is called SIMPLIFYING.

  4. 1.2 Order of Operations • Parentheses • Includes absolute value and radicals • Exponents • Multiply and Divide • From left to right • Add and Subtract • From left to right • PEMDAS

  5. 1.2 Order of Operations • 63 ÷ (1+8) x 23 – 5 • 1. Parenthesis • 63 ÷ 9 x 23 – 5 • 2. Exponents • 63 ÷ 9 x 8 – 5 • 3. Multiply & Divide • Left to Right • 7 x 8 – 5 • 56 – 5 • 4. Add & Subtract • Left to Right • 51

  6. 1.2 Order of Operations • 1. 25 + 24 ÷ 4 = • 31 • 2. 42+ 15 – 2 x 3 = • 25 • 3. 4 x 6 - | 7 x (-7)| = • -25 • Examples

  7. 1.2 Order of Operations • This problem includes a fraction bar  • we must divide the numerator by the denominator. However, we must first perform all calculations above and below the fraction bar BEFORE dividing. • Examples

  8. 1.2 Order of Operations • What about algebraic expressions? • Evaluate- replacing each variable in an algebraic expression with a given number and simplifying. • EXAMPLE: What is the value of the expression for x=3 and y=4 • Answer: 16

  9. 1.2 Order of Operations • Assignment • Worksheet

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