# Scientific Notation Powerpoint

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Category: Education

## Presentation Description

Use this powerpoint to become a master at scientific notation

## Presentation Transcript

### Slide 1:

Writing standard numbers in Scientific Notation 35.075 This is a number written in standard form. To write this in scientific notation, the decimal must be moved to:  3.5075 Since you moved the decimal 1 place to the left, we write the number in scientific notation: 3.5075 x 101 Exponent is 1 since we moved the decimal 1 place.

### Slide 2:

2,987 This is a comma, not a decimal To write in scientific notation, add a decimal to the end of the number: ● Move the decimal to the left: 1 2 3 2.987 x 103 Exponent is 3 because we moved the decimal 3 places

### Slide 3:

0.0873  To write a decimal number in scientific notation, the decimal needs to be moved to the right to: Move the decimal to the right: 008.73 1 2 008.73 x 10-2 When you move the decimal to the right, the exponents are negative!

### Slide 4:

Changing Scientific Notation to Standard Form 4.687 x 102 Since the exponent is 2, move the decimal 2 places to the right. 1 2 468.7 Drop the x 102 when writing in standard form.

### Slide 5:

6.87 x 10-4 Since the exponent is negative, move the decimal to the left 4 spaces. 0 0 0 ● Add 0’s when needed to move the decimal. 1 2 3 4 .000687 Drop the x 10-4

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS Significant digits or Significant figures are used by chemist in the lab around the world to show that certain measurements are accurate and precise. Your laboratory techniques will impact the significance of your digits/figures. (cylinder) Your laboratory equipment will also impact your digits. (electric balance)

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS RULE #1 NONZERO numbers all are SIGNIFICANT Example 1: 123 has THREE significant figures Example 2: 45.777 has FIVE significant figures How many are the following examples? Example 3: 65.233 Example 4: 87,654,321

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS RULE #2 All ZEROS between two NONZERO numbers are SIGNIFICANT Example 1: 120056 has SIX significant figures Example 2: 45.07 has FOUR significant figures How many are the following examples? Example 3: 60003 Example 4: 80.10101

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS RULE #3 ZEROS in FRONT of NONZERO numbers are NOT SIGNIFICANT Example 1: 0003 has ONE significant figures Example 2: 00.0095 has TWO significant figures How many are the following examples? Example 3: 000000034 Example 4: 00.0017

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS RULE #4 ZEROS at the end of a number are SIGNIFICANT if a decimal is PRESENT Example 1: 12.300 has FIVE significant figures Example 2: 45.00 has FOUR significant figures How many are the following examples? Example 3: 6554.00 Example 4: 00.0023400

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS RULE #5 ZEROS at the end of a number are NOT SIGNIFICANT if a decimal is not present. They are estimated digits and are considered insignificant. Example 1: 13000 has TWO significant figures Example 2: 45173000 has FIVE significant figures How many are the following examples? Example 3: 65000 Example 4: 80000

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS PRACTICE: 100.002 1000 1000. 1000.0 12345 1234.00 120088 000.00067 123.1010 3

### SIGNIFICANT DIGITS :

SIGNIFICANT DIGITS PRACTICE: 100.002 (6) 1000 (1) 1000. (4) 1000.0 (5) 12345 (5) 1234.00 (6) 120088 (6) 000.00067 (2) 123.1010 (7) 3 (1)

### Write 89,450,000 in scientific notation with one, two, three, four, and five significant digits: :

Write 89,450,000 in scientific notation with one, two, three, four, and five significant digits: ONE: 9 x 107 TWO: 8.9 x 107 THREE: 8.95 x 107 FOUR: 8.945 x 107 FIVE: 8.9450 x 107

### YOU TRY:Write 00.000034500 in scientific notation with one, two, three, four, and five significant digits: :

YOU TRY:Write 00.000034500 in scientific notation with one, two, three, four, and five significant digits:

### YOU TRY:Write 00.000034500 in scientific notation with one, two, three, four, and five significant digits:ONE: 3 x 10-5TWO: 3.5 x 10-5THREE: 3.45 x 10-5FOUR: 3.450 x 10-5FIVE: 3.4500 x 10-5 :

YOU TRY:Write 00.000034500 in scientific notation with one, two, three, four, and five significant digits:ONE: 3 x 10-5TWO: 3.5 x 10-5THREE: 3.45 x 10-5FOUR: 3.450 x 10-5FIVE: 3.4500 x 10-5

### Multiplying and Dividing with Significant Figures :

Multiplying and Dividing with Significant Figures Limit and round to the least number of significant figures in any of the factors.

### Multiplying with Significant Figures :

Multiplying with Significant Figures EXAMPLE 1: 23.0cm x 432 cm x 19 cm = 188 784 cm3 The answer is expressed as 190 000 cm3 since 19 cm has only two significant figures.

### Division with Significant Figures :

Division with Significant Figures EXAMPLE 2: 123.25 g / 34.2 mL = 3.60380117 g/mL The answer is expressed as 3.60 g/mL since 34.2 mL has only three significant figures.

### YOU TRY :

YOU TRY 1) 35 m x 2.467 m = 2) 1035 m2 x 42 m = 3) 0.21 cm x 3.2 cm x 100.1 cm = 4) 1.278 x 103 m2 / 1.4267 x 102 m2 =

### YOU TRY :

YOU TRY 1) 35 m x 2.467 m = 86 m2 2) 1035 m2 x 42 m = 43 000 m3 3) 0.21 cm x 3.2 cm x 100.1 cm = 67 cm3 4) 1.278 x 103 m2 / 1.4267 x 102 m2 = 8.958

### Addition and Subtraction with Signifcant Figures :

Addition and Subtraction with Signifcant Figures When adding and subtracting, limit and round your answer to the least number of decimal places in any of the numbers that make up your answer. Example 1: 123.25 mL + 46.0 mL 86.257 mL 255.507 mL

### Addition and Subtraction Cont’dwith Sig. Figs. :

Addition and Subtraction Cont’dwith Sig. Figs. Example 1: 123.25 mL + 46.0 mL 86.257 mL 255.507 mL The answer is expressed as 255.5 mL since 46.0mL has only one decimal place.

### You Try :

You Try 1) 12.01 mL + 35.2 mL + 6 mL = 2) 55.46 g – 28.9 g = 3) 0.15 cm + 1.15 cm + 2.051 cm =

### You Try :

You Try 1) 12.01 mL + 35.2 mL + 6 mL = 53 mL 2) 55.46 g – 28.9 g = 26.6 g 3) 0.15 cm + 1.15 cm + 2.051 cm = 3.35 cm

### DONE :

DONE HOMEWORK DUE NOW (*) page 66-68 19, 20, 30, 31, 33, 37, 39, 40, 41