February 27, sci not.notebook. Comparing Numbers in Scientific Notation. Comparing Numbers in Scientific Notation

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1 First, compare the exponents. If the exponents are different, the coefficients do not matter; they have a smaller effect. Whichever number has the larger exponent is the larger number. When the exponents are different, just compare the exponents. < = > 9.99 x x 10 4 just drag the sign that is correct 1.02 x x 10 3 & Math Practice 6.83 x x omparing Numbers MP6 If the exponents are the same, compare the coefficients. When the exponents are the same, just compare the coefficients. The larger the coefficient, the larger the number (if the exponents are the same). < = > 5.67 x x x x x x omparing Numbers MP6 34 Which is ordered from least to greatest? 35 Which is ordered from least to greatest? I. 1.0 x 10 5 I. 1.0 x 10 2 II. 7.5 x 10 6 II. 7.5 x 10 6 III, I, II, IV III. 8.3 x 10 4 IV. 5.4 x 10 7 I, II, IV, III III. 8.3 x 10 9 IV. 5.4 x Response? 79 Response? 1

2 36 Which is ordered from least to greatest? 37 Which is ordered from least to greatest? I. 1 x 10 2 II, III, I, IV I. 1 x 10 2 II. 7.5 x 10 3 II. 7.5 x III, IV, II, I III. 8.3 x 10 2 IV. 5.4 x 10 3 III, IV, II, I III. 8.3 x IV. 5.4 x Response? 81 Response? 38 Which is ordered from least to greatest? 39 Which is ordered from least to greatest? I. 1.0 x 10 2 I. 1.0 x 10 6 II. 7.5 x 10 2 II. 7.5 x 10 6 III. 8.3 x 10 2 IV. 5.4 x 10 2 III. 8.3 x 10 6 IV. 5.4 x WWLcsqouw 82 Response? 83 Response? 40 Which is ordered from least to greatest? I. 1.0 x 10 3 II. 5.0 x Which is ordered from least to greatest? I. 2.5 x 10 3 II. 5.0 x 10 3 III. 8.3 x 10 6 IV. 9.5 x 10 6 III. 9.2 x 10 6 IV. 4.2 x Response? 85 Response? 2

3 42 The chance of a shark bite is and the chance of a snake bite is likely to be bit by? 1 50,000, ,500,000. Which are you more both are the same chance the snake the shark neither Multiplying Numbers in Scientific Notation wlvl Return to Table of ontents (erived from ( 71 Response? 86 Mult. & ividing Multiplying Numbers in Scientific Notation Multiplying Numbers in Scientific Notation Multiplying with scientific notation requires at least three (and sometimes four) steps. 1. Multiply the coefficients 2. Multiply the powers of ten 3. ombine those results 1. Multiply the coefficients 2. Multiply the powers of ten 3. ombine those results Evaluate: (6.0 x 10 4 )(2.5 x 10 2 ) 6.0 x 2.5 = x 10 2 = x x 10 7 Math Practice qypuo 86 Mult. & ividing MP8 Multiplying Numbers in Scientific Notation Evaluate: (4.80 x 10 6 )(9.0 x 10 8 ) 43 Evaluate (2.0 x 10 4 )(4.0 x 10 7 ). 1. Multiply the coefficients 8.0 x Multiply the powers of ten 3. ombine those results 8.0 x x x E 7.68 x F 7.68 x L 6c 88 Mult. & ividing 89 Response? 3

4 44 Evaluate (5.0 x 10 6 )(7.0 x 10 7 ) 45 Evaluate (6.0 x 10 2 )(2.0 x 10 3 ) 3.5 x x x x x x x x 10 1 E 7.1 x E 3.0 x 10 5 F 7.1 x 10 1 F 3.0 x Response? 91 Response? 46 Evaluate (1.2 x 10 6 )(2.5 x 10 3 ). 47 Evaluate (1.1 x 10 4 )(3.4 x 10 6 ). 3 x x x x x x x x E 30 x E 37.4 x Response? 93 Response? 48 Evaluate (3.3 x 10 4 )(9.6 x 10 3 ). 49 Evaluate (2.2 x 10 5 )(4.6 x 10 4 ) x x x x x 10 8 E 30 x x x x 10 9 E x Response? 95 Response? 4

5 ividing Numbers in Scientific Notation ividing with scientific notation follows the same basic rules as multiplying. ivision with Scientific Notation Evaluate: 5.4 x x ivide the coefficients 2. ivide the powers of ten 3. ombine those results 1. ivide the coefficients 2. ivide the powers of ten 3. ombine those results = = x x 10 3 Math Practice 96 lt. & ividing MP8 ivision with Scientific Notation Evaluate: 4.4 x x Evaluate: 4.16 x x x ivide the coefficients 2. ivide the powers of ten 0.8 x x x ombine those results E 8 x Mult. & ividing 99 Response? 5

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