Scientific Notation Scientific Notation way of making REALLY

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Scientific Notation • Scientific Notation – way of making REALLY big or REALLY small

Scientific Notation • Scientific Notation – way of making REALLY big or REALLY small numbers easy to read. • General Form: Mx n 10 • M = number between 1 and 10 • n = number of decimal places you move

Quick Quiz #1 Multiply 123456 x 7890 on your calculator 1. What was your

Quick Quiz #1 Multiply 123456 x 7890 on your calculator 1. What was your answer (with CORRECT sig figs) 2. Write your answer in scientific notation Do the same for the following problems (with CORRECT SIG FIGS): 1. 98765 x 43210 = ? 2. 10000 x 892800 = ? 3. 90 x 9 = ?

Review: WITH NUMBERS WAY BIGGER THAN 1 • POSITIVE EXPONENT WITH NUMBERS WAY SMALLER

Review: WITH NUMBERS WAY BIGGER THAN 1 • POSITIVE EXPONENT WITH NUMBERS WAY SMALLER THAN 1 • NEGATIVE EXPONENT

8/31 – Warm Up #3 • I ran a 5 K over the weekend

8/31 – Warm Up #3 • I ran a 5 K over the weekend (where K stands for kilometers). Calculate the distance of my run, in centimeters. Additionally convert this answer into scientific notation. • I ran my 5 K in 18 min (the equivalent of 1080 seconds). Calculate the amount of time it takes, in Megaseconds (Msec), and convert your answer into scientific notation.

Scientific Notation Reminder: 7. 1 x 104 number of spaces (4 spaces) Size of

Scientific Notation Reminder: 7. 1 x 104 number of spaces (4 spaces) Size of the number (big number) 7. 1 x 104 71, 000

Multiplying with Exponents • Only FRONT numbers multiply • Exponents ADD Ex. (2 x

Multiplying with Exponents • Only FRONT numbers multiply • Exponents ADD Ex. (2 x 105) (4 x 104) Front #’s: 2 x 4 = 8 Exponents: 5 + 4 = 9 Answer: 8 x 109

A Harder Example (5 x 10 -5) (6 x 103) = 30 x 10

A Harder Example (5 x 10 -5) (6 x 103) = 30 x 10 -2 30 = TOO BIG for scientific notation should be 3. 0 When too big…ADD to exponent -2 + 1 = -1 30 x 10 -2 3. 0 x 10 -1

Dividing with Exponents • Only FRONT number divide • Exponents SUBTRACT Ex. (6 x

Dividing with Exponents • Only FRONT number divide • Exponents SUBTRACT Ex. (6 x 104) (3 x 101) Front #’s: 6/3 = 2 Exponents: 4 – 1 = 3 Answer: 2 x 103

A Harder Example Ex. (4. 5 x 10 -7) = 0. 5 x 10

A Harder Example Ex. (4. 5 x 10 -7) = 0. 5 x 10 -14 (9. 0 x 107) 0. 5 TOO SMALL for scientific notation should be 5. 0 When too small…SUBTRACT from exponent -14 – 1 = -15 0. 5 x 10 -14 5. 0 x 10 -15