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1.7 Exponents and Order of operations

1.7 Exponents and Order of operations. Using Exponential Notation. Using Exponential Notation. 3∙3∙3∙3∙3. c an be written as. 3 is a factor 5 times. exponent. Read as “three to the fifth power”. Base. The table below shows examples of reading exponential notation in words.

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1.7 Exponents and Order of operations

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  1. 1.7 Exponents and Order of operations Using Exponential Notation

  2. Using Exponential Notation 3∙3∙3∙3∙3 can be written as 3 is a factor 5 times exponent Read as “three to the fifth power” Base

  3. The table below shows examples of reading exponential notation in words

  4. Evaluating Expressions with Exponents Helpful Hint An exponent applies only to its base. For example: 5 is the base to the exponent 4 Multiply -1 times four factors of 5 Parentheses indicate that -5 is the base to the exponent 4. Multiply four factors of -5 = (-5)(-5)(-5)(-5) = 625

  5. Helpful Hint Don’t forget that 2⁴, for example, is not 2∙4. The expression 2⁴ means repeated multiplication of the same factor. 2⁴ = 2∙2∙2∙2 = 16 whereas 2∙4= 8

  6. Order of Operations • Order of Operations • 1. Perform all operations within parentheses( ), brackets [ ], or other grouping symbols such as fraction bars, starting with the innermost set. • 2. Evaluate any expressions with exponents. • 3. Multiply or divide in order from left to right. • 4. Add or subtract in order from left to right PEMDAS

  7. Homework for 1.7 Pg. 71-72 1-85 odd

  8. 1.8 Introduction to Variables, Algebraic Expressions, and Equations Evaluating Algebraic Expressions

  9. Algebraic Expressions 5 ∙ y 3 + x 2 ∙ z -1 + x x³

  10. Determine whether the given number is a solution to the equation. 4x = 20 x = 5 Substitute 5 for x. Simplify Right-hand side equals the left=hand side. Thus, 5 is a solution to the equation 4x = 20

  11. If you are having difficulty replacing variables with numbers, first replace each variable with a set of parentheses, then insert the replacement number within the parentheses. Helpful Hint

  12. TRANSLATIONS INVOLVING LINEAR EQUATIONS

  13. Remember that order is important when subtracting. Study the order of numbers and variables below.Phrase Translationsa number decreased by 5 x – 5a number subtracted from 5 5 - x Helpful Hint

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