Scientific Notation

DRILL – Scientific Method

1. What are the steps of the Scientific Method?

2. Explain how you performed each of the steps during the Bubble Lab yesterday.

Objectives

iWBAT Create a Pride Pact for our class convert numbers into proper scientific

notation. convert numbers out of scientific notation. Summarize the data obtained from the

Bubble Lab

Pride Pact

We will create a Pride Pact to use in our class this year.

Think of some expectations that you have to make our classroom run smoothly this year.

Format for Scientific Notation

Number x 10power

this “lead” number should be

between 1 and 9

What does “powers of ten” mean ?

1 is 1 x 100

10 is 1 x 101 is 10 x 1

100 is 1 x 102 is 10 x 10

1000is 1 x 103 is 10 x 10 x 10

70 is 7 x 101

700 is 7 x 102

Add a decimal to the number if there is none.

i.e. 44 becomes 44.

Convert 3505 into Scientific NotationTo convert 3505 into scientific notation you must first add a decimal to the end .

3505 becomes 3505.

Grab the decimal point and move it to the left 3 decimal places.

(Remember that the goal is to move the decimal point until you have a lead number between 1 and 9.)

The number then becomes 3.505 and since you moved 3 decimal places you have 3 powers of 10. Your answer becomes 3.505 x 10 3

(You made the lead number smaller, so the exponent must get bigger)

(Remember … don’t chop numbers off the end)

Convert 0.0777 into Scientific NotationGrab the decimal point and move it to the right 2 decimal places.

(Remember that your goal is to move the decimal point until you have a lead number between 1 and 9.)

The number then becomes 007.77 (which is really 7.77)

Since you moved 2 decimal places you have 2 powers of 10. Your answer becomes 7.77 x 10 -2

(You made the lead number bigger, so the exponent must get smaller)

Rule of Thumb

If you make the lead number smaller,

the exponent must get bigger.

If you make the lead number bigger,

the exponent must get smaller.

Convert into Scientific Notation

1. 303

2. 1500

3. 200.5

4. 0.004

5. 0.0333

Convert out of Scientific Notation

1. 5 x 102

2. 9.2 x 104

3. 0.078 x 103

4. 0.078 x 10-3

5. 9.67 x 10-2

Multiplying in Scientific Notation

Multiply the lead numbers, add exponents Example:

(4 x 102)(5 x 106)=20 x 10(2+6)=

20 x 108=

2 x 109

Practice

(7 x 102)(2 x 10-3) = 14 x 10-1

proper scientific notation is 1.4 x 100

Dividing in Scientific Notation

Divide the lead numbers, subtract the exponents.

Example:

(6.3 x 105)÷(3 x 102)=(6.3 ÷ 3) x 10(5-2)=

2.1 x 103

Practice

Exponents WS Scientific Notation/Calculations WS p. 11