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# The Power of Scientific Notation

The Power of Scientific Notation. Math Review! Multiplying by 10’s. 23.456 cm x 10 = 234.56 cm Multiply x10 = move the decimal 1 place to the right. 23.456 cm x 100 = 2,345.6 cm Multiply x100 = move the decimal 2 places to the right. 23.456 cm x 1,000 = 23,456. cm

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## The Power of Scientific Notation

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1. The Power of Scientific Notation

2. Math Review! Multiplying by 10’s 23.456 cm x 10 = 234.56 cm Multiply x10 = move the decimal 1 place to the right. 23.456 cm x 100 = 2,345.6 cm Multiply x100 = move the decimal 2 places to the right. 23.456 cm x 1,000 = 23,456. cm Multiply x1000 = move the decimal 3 places to the right. 23.456 cm x 1,000,000 = 23,456,000. cm Multiply x1,000,000 = move the decimal 6 places to the right.

3. Math Review! Dividing by 10’s 23.456 cm / 10 = 2.3456 cm Divide by 10 = move the decimal 1 place to the left. 23.456 cm / 100 = 0.23456 cm Divide by 100 = move the decimal 2 places to the left. 23.456 cm / 1,000 = 0.023456 cm Divide by 1000 = move the decimal 3 places to the left. 23.456 cm / 1,000,000 = 0.000023456cm Divide by 1,000,000 = move the decimal 6 places to the left.

4. Scientific Notation • Scientific Notation is a shorthand way of writing very large or very small measurements using the base power of ten.

5. 602,000,000,000,000,000,000,000 molecules A positive exponent means you have to multiply times 10 to get back to your original value. To get the decimal back to its original location you must multiply by ten 23 times. 6.02 x 1023 molecules

6. 0.000,000,000,000,000,000,000,0201g A negative exponent means you have to divide by 10 to get back to your original value. To get the decimal back to its original location you must divide by ten 23 times. 2.01 x 10-23grams

7. How would you put 6 cm in scientific notation?

8. 9.85 x 107 Practice Problem Write in scientific notation. Decide the power of ten. 6.41 x 1010 2.79 x 108 4.2 x 106 • 98,500,000 = • 64,100,000,000 = • 279,000,000 = • 4,200,000 =

9. Practice! 7.5742 x 10-4 4.5278 x 10-6 1.274 x 10-3 Express in scientific notation 0.00075742 = 0.0000045278= 0.001274 =

10. How to use your calculator

11. Placing Scientific Notation on your Calculator To use this EE button you must first push the 2nd function key.

12. How would you do this:6.3 x 1034 km x 5.6 x 1016 km 1. Clear your calculator. 2. Type in the coefficient (6.3) 3. Push your EE (or EXP) key. 4. Type in the exponent (34) 5. Push the multiplication sign. 6. Type in the coefficient (5.6) 7. Push your EE (or EXP) key. 8. Type in the exponent (16) 9. Push the equals sign.

13. How would you do this:5.2 x 10-12 km x 5.6 x 10-9 km 1. Clear your calculator. 2. Type in the coefficient (5.2) 3. Push your EE (or EXP) key. 4. Type in the exponent (-12) using +/- key. 5. Push the multiplication sign. 6. Type in the coefficient (5.6). 7. Push your EE (or EXP) key. 8. Type in the exponent (-9) using +/- key. 9. Push the equals sign.

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