Scientific Notation Copyright Science Stuff Bell Ringer Using
Scientific Notation Copyright © Science Stuff
Bell Ringer
Using Scientific Notation in Multiplication, Division, Addition and Subtraction Scientists must be able to use very large and very small numbers in mathematical calculations. As a student in this class, you will have to be able to multiply, divide, add and subtract numbers that are written in scientific notation. Here are the rules.
***VERY IMPORTANT*** When computing with Scientific Notation, sometimes you have to change the exponent. To do so, count how many times you need to move the decimal. à If you move the decimal forward, ADD that number to the exponents. à If you move the decimal backward, SUBTRACT that number to the exponents
Rule for Multiplication (on graphic organizer) When multiplying numbers written in scientific notation…. . Step 1: Multiply the decimal numbers Step 2: Add the exponents (follow Exponent Rule) Step 3: Make sure you have one digit (non zero) in front of the decimal
Example (write all steps on Graphic organizer next to the written steps)
Guided Practice (turn paper over or pg 220 )
Guided Practice (turn paper over or pg 220 )
Rule for Division (on graphic organizer) When dividing numbers written in scientific notation… Step 1: Divide the decimal numbers Step 2: Subtract exponents (follow Exponent rules) Step 3: Make sure you have one digit (non zero) in front of the decimal
Example (write all steps on Graphic organizer next to the written steps)
Guided Practice (turn paper over or pg 222 )
Guided Practice (turn paper over )
Classwork: Complete worksheet. Will check for accuracy
HW pg 223 EVEN #s
Rule for Addition and Subtraction (on Graphic Organizer) To add or subtract numbers written in scientific notation, you must…. express them with the same power of ten. Step 1: Make sure that both exponents are the SAME! ** you might have to move a decimal forward or backward to have same exponent #s Step 2: Add coefficients decimal #’s together Step 3: Make sure it is in SCIENTIFIC NOTATION!
Example: Graphic Organizer
Example: Graphic Organizer
Guided Practice: Adding (worksheet)
Guided Practice: Adding (worksheet)
Guided Practice: Subtracting (worksheet)
Guided Practice: Subtracting (worksheet)
Independent Work
MULTIPLY THE FOLLOWING NUMBERS. GIVE YOUR ANSWER IN SCIENTIFIC NOTATION. Problems: 1. (6 x 105) (1 x 102) 2. (4 x 106) (2 x 10 -5) 3. (3. 4 x 106) (1. 8 x 103) 4. (8. 1 x 10 -7) (3. 6 x 102) 5. (4. 9 x 104) (6 x 10 -3) 6. (5 x 10 -5) (2 x 10 -6) 7. (0. 000 015) * (101, 654, 000) 8. (10, 456, 300, 950) * (9, 754, 321) Answers: 1. 2. 3. 4. 5. 6. 7. 8. 6 x 107 8 x 101 6. 12 x 109 2. 92 x 10 -4 2. 94 x 102 1 x 10 -10 1. 53 x 103 1. 02 x 1017
DIVIDE THE FOLLOWING NUMBERS. GIVE YOUR ANSWER IN SCIENTIFIC NOTATION. Problems: 1. (6 x 105) (2 x 104) 2. (8 x 103) (2 x 10 -5) 3. (7. 4 x 104) (1. 8 x 103) 4. (8. 19 x 10 -4) (1. 6 x 102) 5. (4. 3 x 103) (6. 1 x 10 -3) 6. (8 x 10 -5) (2 x 10 -6) 7. (0. 000 009 023) (101, 351, 000) 8. (12, 701, 300, 950) (4, 754, 321) Answers: 1. 2. 3. 4. 5. 6. 7. 8. 3 x 101 4 x 108 4. 11 x 101 5. 12 x 10 -6 7. 05 x 105 4 x 101 8. 9 x 10 -14 2. 67 x 103
ADD OR SUBTRACT EACH OF THE FOLLOWING NUMBERS. GIVE YOUR ANSWER IN SCIENTIFIC NOTATION. Problems: 1. (6 x 104) + (3 x 104) 2. (6 x 10 -5) - (3 x 10 -5) 3. (1. 4 x 105) + (1. 4 x 103) 4. (8 x 104) - (1. 6 x 102) 5. (4. 9 x 105) + (6. 1 x 10 -3) 6. (8 x 10 -5) - (5 x 10 -6) 7. (0. 079 323) + (0. 196, 351, 000) 8. (12, 701, 555, 950) (40, 754, 321) Answers: 1. 9 x 10 4 2. 3 x 10 -5 3. 1. 41 x 10 5 4. 7. 98 x 10 4 5. 4. 9 x 10 5 6. 7. 5 x 10 -5 7. 2. 76 x 10 -1 8. 1. 27 x 10 10
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