14. Table of contents Unit #2 Unit Name: Exponents, O of O, Scientific Notation, and Square Roots Date: 8/24 Section: 1-3 Title: Exponents Pages: 1-2
15. Table of contents Unit #2 Unit Name: Exponents, O of O, Scientific Notation, and Square Roots Date: 8/25 Section: 1-3 Title: Scientific Notation Pages: 3-4
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27. Vocabulary Scientific Notation: Method of writing numbers that are very large OR Small. Has two parts: Decimal x 2. Power of 10 1.8 x 10-3
28. I. The first part There MUST be ONLY ONE digit to the left of the decimal. Between $1.00 but less than $10.00 Examples: 3.45, 1.320 Non-Examples: 11.56, .0565 We must move the decimal in order to meet this rule.
29. Write the width of the universe in scientific notation 210,000,000,000,000,000,000,000 miles Where is the decimal point now? Where would you put the decimal to make this number be between 1 and 10?
30. Write the width of human hair in scientific notation .0018 cm Where is the decimal point now? Where would you put the decimal to make this number be between 1 and 10?
31. Reading Math If you do not see a decimal point in a number, it is understood to be at the end of the number. Helpful Hint #1 23 = 23.0
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33. You Try! Find the value of each power of 10. a. 10–2 c. 1010 b. 105 Start with 1.0 and move the decimal point five places to the right. Start with 1.0 and move the decimal point ten places to the right. Start with 1.0 and move the decimal point two places to the left. 10,000,000,000 100,000 0.01
34. Writing Powers Write each number as a power of 10 A. 1,000,000 B. 0.0001 C. 1,000 The decimal point is four places to the left of 1, so the exponent is –4. The decimal point is three places to the right of 1, so the exponent is 3. The decimal point is six places to the right of 1, so the exponent is 6.
35. III. Puttingit all together!Scientific to Standard Steps Look at EXPONENT Positive=Right Negative=Left 2. Move decimal that direction 3. Empty spaces fill in with a zero! Just Watch! Write in Standard form 2.34 x Positive exponent= move DECIMAL to right 2340.0
36. Reading Math Standard form refers to the usual way that numbers are written—not in scientific notation. Helpful Hint #1
37. You Try!!! 1. 23.5 x 2. .04 x 3. 9.2 x 4. .007 x To the left, to the left….? To the right, to the right….?
38. IV. Standard to Scientific Steps: Write the number with only one number to the left of the decimal Power of 10: How do I get back to the original decimal? Right=Positive Left=Negative 3. Put it all together! Just Watch! Write in Scientific Notation 2345 2.345 Move to right to get to 2345. 3 to the right= 3. 2.345 x