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SKILLS YOU’LL NEED

SKILLS YOU’LL NEED. Understanding Exponents Understanding Powers of 10 Solving Equations. Understanding Exponents. exponents are used to indicate how many times a number (base) is multiplied by itself. exponent. 5 3. base. power. we read this as 5 to the power of 3 or 5 cubed.

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SKILLS YOU’LL NEED

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  1. SKILLS YOU’LL NEED Understanding Exponents Understanding Powers of 10 Solving Equations

  2. Understanding Exponents exponents are used to indicate how many times a number (base) is multiplied by itself exponent 53 base power we read this as 5 to the power of 3 or 5 cubed expanded form = 5 x 5 x 5 standard form = 125 7s - Answer questions 1-5, pgs 25-26 8s - Answer questions 1, 2, and 3 on page 6

  3. Understanding Powers of 10 understanding powers of 10 is needed in order to be able to write a number in scientific notation (2.34 x 104) How is a multiple of 10 related to how it is written as a power of 10? What is an easy way to write a power of 10 in standard form? 7s - Answer questions 6 and 7 on page 26 8s - Answer questions 4, 5, and 7 on page 7

  4. Solving Equations To solve an equation means to find the value of the variable that makes an equation true an unknown amount represented by a letter Three common ways to solve equations are: 1) systematic trial 2) by inspection 3) by balancing

  5. Systematic Trial 3x + 4 = 28 choose a value for x and substitute try x = 5 3(5) + 4 = 19 too small try x = 10 3(10) + 4 = 34 too big try x = 8 3(8) + 4 = 28 correct The solution is x = 8

  6. Solve by inspection 100 - 7x = 58 Think: 100 subtract 7 times a number is 58 We know: 100 - 42 = 58; so 7 times a number = 42 We know: 7 x 6 = 42; so the number is 6 The solution is x = 6 Answer question #8 on page 8

  7. By Balancing 100 - 7x = 58 isolate the unknown (x) on one side of the equals sign add 7x to each side 100 - 7x + 7x = 58 + 7x Solve a - i on page 8 100 = 58 + 7x subtract 58 from each side 100 - 58 = 58 + 7x - 58 42 = 7x divide both sides by 7 42 ÷ 7 = 7x ÷ 7 6 = x

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