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# 1150 day 9

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### 1150 day 9

1. 1. Decimals
2. 2. DecimalsPlace Value and how to say decimal numbers 1 6 3 .9 0 4 2 7 8
3. 3. Decimals 1 6 3. 9 0 4 1 1 1 100 10 1 10 100 1000 102 101 100 10-1 10-2 10-3
4. 4. Write 2.67 in expanded form usinga) Place value and fractions 6 7 2+ + 100 10b) Place value and negative exponents 2 + 6 · 10-1 + 7 · 10-2
5. 5. Express 4.32 as a single fraction.Say it Four and thirty-two hundredths 32 432 4 108Write it 4 100 100 4 25Simplify it
6. 6. 3Express as a decimal. 20Method 1: Use proportions Method 2: Use division x5 0. 15 3 15 20 3.0 20 100 20 100 x5 100 0 0.15
7. 7. A terminating decimal is a decimal number that canbe written with a finite number of digits. 24.777 terminates 24.777… repeats
8. 8. A rational number can be written as aterminating decimal if the only prime factors ofits denominator are 2 and/or 5. Note: the fraction must be simplified before looking at its denominator.Does the fraction represent a terminatingdecimal? 40 7 8 5 terminates 4 2 40 2 2
9. 9. Does the fraction represent a terminating decimal? 9 3 3 terminates 30 3 10 5 5 1 repeats 30 5 6 8 1 4 2 terminates 2 2 8
10. 10. Order the numbers from least to greatest: 3.64, 3.6, 3.649, 3.613 3 3.64 0 1 3.6 00 4 3.649 2 3.613 3.6, 3.613, 3.64, 3.649
11. 11. Scientific Notation integer n x 10r 1 n < 10 Scientific Notation: NOT Scientific Notation: 3.603 x 107 32.63 x 104 4.01 x 10-3 3.12 x 10-1.5
12. 12. Write 36,500 in scientific notation 36500 3 6 5 0 0 = 3.65 x 104Write 0.024 in scientific notation 0. 0 2 4 0 . 0 2 4 = 2.4 x 10-2
13. 13. Operations on DecimalsAddition and Subtraction – Why do we line up thedecimal points? 2.13 + 4.5 Expanded form 1 3 2.13 2+ + 10 100 5 4.5 4+ 10 6 3 6+ + = 6.63 10 100
14. 14. 12.8 – 3.51 7 10 12.80 - 3.51 9.29
15. 15. Multiplying Decimals 3.2 x 4.73 2 10 4 7 10 3.2 3 2 1 01 32 47 x 4.7 1 4 10 10 2 8 32 47 224 2 1 100 1280 5 1 4 7 1504 100 1504 0 4 15.04
16. 16. Division of decimals 15.12 2.7 Divide 15.12 into 2.7 groups 15.12 x 10 = 151.2 Divide 151.2 into 27 groups 2.7 x 10 27 56 2.7 15.12 135 162 162 0