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Mathematical Expressions and Problem Solving Techniques

This document explores various mathematical problems, including expressions in scientific notation, solving equations, and geometric calculations. It covers topics such as converting numbers into correct scientific notation, determining unknown variables in equations, calculating products of like bases, and applying the Pythagorean theorem to find the hypotenuse of a triangle. The content is designed for students and learners looking to reinforce their math skills through practical examples and straightforward solutions.

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Mathematical Expressions and Problem Solving Techniques

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  1. 1.19.10 1) Express 3,450,000 in correct scientific notation 2) 36 32 = 3n What is n? 10 7 3 4 • 3.45 x 106 • 3 x 106 • 3.4 x 106 • 3.4 x 10-6

  2. 1.20.10 1. What is the value of 2-3 2.Solve. 5√3 + 2√3 3 √3 3 √6 7 √3 7 √6 • 8 • -8 c) ⅛ d) 6

  3. 1. A length(leg) and the hypotenuse is given. What third length (other leg) could be used with the other two lengths to make a right triangle? 6,10 and____ 1.21.10 • 7 b)9 c) 8 d)10 2. What is the value of (23)2 = • 16 b)10 c)32 d)64

  4. 1.22.10 Solve the product of like base. 54 ∙ 52= a) 256 b)52 c) 56 d) 58 2. Find the hypotenuse of a triangle with the legs of 3 and 4. • 7 b)6 c)5 d)12

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