Elementary Fluid Dynamics (corr.) by D. Acheson

By D. Acheson

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2 Exponents and Order of Operations Objectives 1. Use Exponents 2. Use the Order of Operations 1. 1, we discussed the prime factorization of a number. Let’s find the prime factorization of 8. 8ϭ2ؒ2ؒ2 8 4ؒ 2 2 ؒ 2 We can write 2 ؒ 2 ؒ 2 another way, by using an exponent. 2 ؒ 2 ؒ 2 ϭ 23 d exponent (or power) c base 2 is the base. 2 is a factor that appears three times. 3 is the exponent or power. An exponent represents repeated multiplication. ” 23 is called an exponential expression. Example 1 Rewrite each product in exponential form.

2) Simplify expressions with exponents. 3) Perform multiplication and division from left to right. 4) Perform addition and subtraction from left to right. Think about the “You Try” problem. Did you evaluate it using the order of operations? Let’s look at that expression: mes47759_ch01_001-025 10/22/2007 16:48 Page 22 pinnacle 201:MHIA038:mhmes2:mes2ch01: 22 Chapter 1 The Real Number System and Geometry Example 3 Evaluate 36 Ϫ 12 Ϭ 4 ϩ (6 Ϫ 1) 2. Solution 36 Ϫ 12 Ϭ 4 ϩ (6 Ϫ 1) 2 36 Ϫ 12 Ϭ 4 ϩ 52 36 Ϫ 12 Ϭ 4 ϩ 25 36 Ϫ 3 ϩ 25 33 ϩ 25 58 First, perform the operation in the parentheses.

High. How many rows will he 4 need to construct a wall that is 34 in. high? 39) For homework, Bill’s math teacher assigned 42 problems. 5 He finished of them. How many problems did 6 he do? 2 Exponents and Order of Operations 1 of the 3 money she earns from babysitting into her savings account, but she can keep the rest. If she earns $117 in 1 week during the summer how much does she deposit, and how much does she keep? services? (American Demographics, May 2004, Vol. 26, 40) Clarice’s parents tell her that she must deposit 41) A welder must construct a beam with a total length of 1 7 32 in.

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