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Multiplying and Dividing by Powers of 10

Scientific Notation

- Section 4.5

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

Objective 1Multiply or divide a number of by a

power of 10

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

Objective 1

- Dividing
- Move decimal point to the left
- Write zeros on the left to ensure correct number

of decimal places

Objective 2Write a number in scientific

notation or change a number in scientific

notation to place value name

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 0.00000000000000000000000

17 g 1.7 x 10-24 grams

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

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)

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