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Powers of Ten and the Zero Exponent

Explore how standard form changes with exponent variations, the impact of negative sign, & patterns with negative bases. Understand powers of ten & number of zeros in standard form. Examples and evaluations provided. Assignment included.

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Powers of Ten and the Zero Exponent

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  1. Powers of Ten and theZero Exponent Topic 2.2

  2. What happens to the standard form when you increase the exponent by 1? What happens to the standard form when you decrease the exponent by 1?

  3. How does the negative sign affect the standard form answer? Does the pattern of increasing and decreasing Change with the negative base?

  4. A Power of 10 always has a BASE of 10 and then any integer exponent. How are the exponent and the number of zeros in the Standard Form related?

  5. EXAMPLES Write the following numbers using powers of 10: 234 = 200 + 30 + 4 (2 x 100) + (3 x 10) + (4 x 1) (2 x 102) + (3 x 101) + (4 x 100) 3452 = 3000 + 400 + 50 + 2 (3 x 1000) + (4 x 100) + (5 x 10) + (2 x 1) (3 x 103) + (4 x 102) + (5 x 101) + (2 X 100)

  6. A power with an integer base, other than 0, and an exponent 0 is always equal to 1. n0=1 n≠0 20 = 1 130 = 1 (-5)0 = 1

  7. EXAMPLES Evaluate each expression: 40 = 1 (-4)0 = 1 10010 = 1 -40 = -1 -(-5)0 = -1 When does the exponent apply to the negative sign? It applies to what is inside the bracket (if no bracket it only applies to the number)

  8. ASSIGNMENT PAGE 61 DISCUSS: 1, 2, 3 # 4ac, 5, 6ace, 8ace, 9bce, 10, 11, 12, 13a, 14

  9. Interactive Website For Powers of Ten • http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.EXPO

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