Multiplying and Dividing Scientific

Notation

You can multiply and divide with two or more sets of scientific

notation the same way you multiply and divide regular numbers

REMEMBER: You can rearrange multiplication and division!

Multiplication in Scientific Notation(2.5 * 104)(1.3 * 105)

This can be rewritten as:2.5 * 104 * 1.3 * 105 (Because between parenthesis is multiplication.)

That can be rewritten as:2.5 * 1.3 * 104 * 105 (Because multiplication can be rearranged.)

2.5 * 1.3 * 104 * 105

Multiplication in Scientific Notation

Now multiply the whole numbers and combine the powers of 10.

3.25* 109

Check to make sure the final answer is in scientific notation

(This one is already)

Try these and check your answer on the next slide.1. (3.6 * 102)(0.9 * 106) 2. (3 * 105)(4 * 107)3. (7.4 * 103)(1.6 * 102)

Multiplication in Scientific Notation

Answers: 1. 3.24 * 108

2. 1.2 * 1013 (you get 12 * 1012 but that isn’t in scientific notation so you move the decimal once more to the left and add one more to the exponent)

3. 1.184 * 106

(you get 11.84 * 105 but that isn’t in scientific notation so you move the decimal once more to the left and add one more to the exponent)

Multiplication in Scientific Notation

Division in Scientific Notation

This can be rewritten as:

(Because multiplication over division can be broken into pieces.)

Division in Scientific Notation

Now solve the first fraction and simplify the second.

4 * 105

Check to make sure the final answer is in scientific notation

(This one is already)

Try these and check your answer on the next slide.1.

2.

3.

Division in Scientific Notation

Answers: 1. 2 * 106

2. 2.5 * 107 3. 7.5 * 101

(you get .75 * 102 but that isn’t in scientific notation so you move the decimal once more to the right and subtract one more from the exponent)

Division in Scientific Notation