1. Multiplying and Dividing by Powers of 10; Scientific Notation
Section 4.5

2. Objectives Multiply or divide a number of by a power of 10
Write a number in scientific notation or change a number in scientific notation to a place value name

3. Objective 1: Multiply or divide a number of by a power of 10

4. Objective 1
Power of 10 – value when 10 is raised to a power (exponent)
Multiplying
Multiplying by 10 moves the decimal point one place to the right
Multiplying by 100, which is 10², move decimal point two places to the right
Etc.
Write zeros on the right to ensure correct number of decimal places

5. Objective 1 Dividing Move decimal point to the left
Write zeros on the left to ensure correct number of decimal places

6. Objective 2: Write a number in scientific notation or change a number in scientific notation to place value name

7. Objective 2
Scientific notation – way to write numbers as a product using a number between 1 and 10 times a power of 10
Used to write very large or very small numbers
Mass of earth: 6,000,000,000,000,000,000,000,000 kg = 6.0 x 1024 kg
Mass of a hydrogen atom: g = 1.7 x grams

8. Objective 2 To write a number in scientific notation
Move decimal point left or right so only one digit (between 1 and 9) is to the left of decimal
Multiply the number by a power of 10. The exponent will be the number of moves to the left or right
If it was a large number and you moved decimal to the left, the exponent is positive
If it was a small number and you moved decimal to the right, the exponent is negative

9. Objective 2 To change from scientific notation to place value name
If exponent is positive, move decimal to the right as many times as the exponent (make a big number)
If the exponent is negative, move decimal to the left (make a small number)