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Review Quantitative and Qualitative observations

Scientific Notation

1.7 lesson

CRS Standards:

• SIN 402: Understand a simple experimental design

Objectives:

• Recognize and use scientific notation.

• Perform calculations involving scientific notation and conversion factors.

Quick Class Meeting

• Classroom percentages

• Gradebook cleanup week(Come to office hours and/or check

PowerSchool.)-All late work due by 9/23/13

Introduction to Scientific Notation

(3 minutes)

• Directions: Fix this text message, it is too long to send.

“Hello Mrs. Gorham, please help! I do not know what time school starts tomorrow, thanks!”

Rules for Scientific Notation

To be in proper scientific notation the number must be written with* a number between 1 and 10* and multiplied by a power of

ten

23 X 105 is not in proper scientific notation. Why?

When using Scientific Notation, there are two kinds of exponents: positive and negative

Positive Exponent:2.35 x 108

Negative Exponent:3.97 x 10-7

When changing scientific notation to standard notation, the exponent tells you if you should move the decimal:

With a positive exponent, move the decimal to the right:

4.08 x 103 = 4 0 8

Don’t forget to fill in your zeroes!

When changing scientific notation to standard notation, the exponent tells you if you should move the decimal:

With a negative exponent, move the decimal to the left:4.08 x 10-3 = 4 0 8

Don’t forget to fill in your zeroes!

An easy way to remember this is:

• If an exponent is positive, the number gets larger, so move the decimal to the right.

• If an exponent is negative, the number gets smaller, so move the decimal to the left.

The exponent also tells how many spaces to move the decimal:

4.08 x 103 = 4 0 8 In this problem, the exponent is +3, so the decimal moves 3 spaces to the right.

The exponent also tells how many spaces to move the decimal:

4.08 x 10-3 = 4 0 8

In this problem, the exponent is -3, so the decimal moves 3 spaces to the left.

Let’s do some practice problems!

1.

2.

3.

When changing from Standard Notation to Scientific Notation:

1) First, move the decimal after the first whole number:

3 2 5 8

123

3

2) Second, add your multiplication sign and your base (10).

3 . 2 5 8 x 10

3) Count how many spaces the decimal moved and this is the exponent. 3 . 2 5 8 x 10

When changing from Standard Notation to Scientific Notation:

4) See if the original number is greater than or less than one.– If the number is greater than one, the

exponent will be positive.

348943 = 3.489 x 105

– If the number is less than one, the exponent will be negative.

.0000000672 = 6.72 x 10-8

Let’s do some practice problems!

1.

2.

3.

Scientific Notation Poster

• Show a problem in which you are changing from scientific notation to standard form. Also, the exponent is negative.

• Show a problem in which you are changing from scientific notation to standard form. Also, the exponent is positive.

Small group practice10 minutes

• Each table will have one minute to complete the problem at their table.

• Once the timer goes off, tables will rotate clockwise and have one minute to complete the next problem.

• Leaders will stop rotating once they end up back to their original table.

• Then, we will check answers for accuracy.

Try changing these numbers from Scientific Notation to Standard Notation:

1) 9.678 x 104

2) 7.4521 x 10-3

3) 8.513904567 x 107

4) 4.09748 x 10-5

96780

.0074521

85139045.67

.0000409748

Try changing these numbers from Standard Notation to Scientific Notation:

1) 9872432

2) .0000345

3) .08376

4) 5673

9.872432 x 106

3.45 x 10-5

8.376 x 102

5.673 x 103

Scientific Notation Practice(8 minutes)

• Complete scientific notation worksheet (even problems only)

• Work on your answers independently.

Group Game“Human Body Scientific

Notation”• Each group will have a group leader that will

give the answer for their group. • Leaders will be told information about the

human body. Every participant in the group must help solve the problem.

• Once the group has answered the question, the group leader will raise their hand to show the answer.

• Each group that get their answer right will earn 2 points extra credit towards the exit slip and a lynx!

Fact #1

• The lungs contain over 300,000,000 capillaries (tiny blood vessels).

Write number in scientific notation.

3 x 108

Fact #2

• Over a 24-hour period, you lose almost a million skin cells.

Write this number in scientific notation.

1 x 106 or 10 x 105

Fact #3

• The average person farts roughly 25 times a day, multiply that by a year (365 days not including leap years) which gives 9.125 x 103 farts a year.

Write this number in standard notation

9,125

Fact #4

• The average lifespan in the United States today: 27,375 days.

Write the answer in scientific notation.

2.7375 x 104

Fact #5• The number of strands of hair on a human head

varies with color:

BLONDE - 140,000 strandsBROWN - 110,000 strandsBLACK - 108,000 strandsRED - 90,000 strands

Write the number of hairs for black hair in scientific notation.

1.08 x 105

Fact #6

• Red blood cells die at the rate of 2 x 1011 per day but the body produces new cells at an average rate of 9,000 million per hour.

Write in standard notation form.

200,000,000,000

Homework

• Complete Scientific Notation practice problems (1-37).

• Study today’s notes. • Continue studying flash cards.

Exit ticket

• Complete the reteaching worksheet (either even or odd.)

• If you get done early, begin working on homework or read silently.