Download presentation

1
Scientific Notation

2
**Why use it? Width of a human hair = 0.000 008 m**

Speed of light ~ m / s Mass of a dust particle = kg

3
**Which would you rather write?**

The mass of the earth is 5,973,600,000,000,000,000,000,000 kg The mass of the earth is X 1024 kg

4
**Which would you rather write?**

The mass of an electron is about A) kg. B) ×10−31 kg.

5
**Which would you rather calculate?**

What is the mass, in kg, of a mole of electrons? A) electrons/mole X kg/electron ×10−31 kg/electron X X 1023 electrons/mole

6
**Advantages of scientific notation**

very large or very small numbers easier to work with Makes math easier calculators use it

7
**How it works Base 10 decimal number system 10 X 1 = 10 = (1 ten)= 101**

10 X 10 = 100 = (2 tens) = 102 10 X 10 x 10 = 1000 = (3 tens) = 103 10 X 10 X 5 = 500 = (2 tens) = 5 X 102 10 X 10 X 10 X 3.14 = 3140 (3 tens) = 3.14 X 103

8
**I. Parts of scientific notation**

6.02 X 1023 Exponent If +, number > 0 If -, number < 0 Coefficient between 1-10

9
**II. Three steps to Scientific notation**

Examples A) Coefficient Between 1 and 10 Place the decimal

10
**Steps Examples B) Count and Erase 5 7 6 0 0 0 5 7 6 0 0 0**

Count spaces to move decimal Note direction Erase extra zeros 5 jumps left 4 jumps right

11
**Steps Examples C) Exponent 5 7 6 0 0 0. 5. 7 6 X 105 0 . 0 0 0 5 7 6**

# spaces = power of 10 Direction left = + Direction right = - 5. 7 6 X 105 5 jumps left 5.7 6 X 10-4 4 jumps right

12
Practice time!

13
13000 1.3 X 104

14
4.5 X 10-6

15
**71545000 7.1545 X 107 Note: rules are the same**

regardless of the number of digits! X 107 Between 1 and 10!

16
**0.0045678 4.5678 X 10-3 Note: rules are the same**

regardless of the number of digits! X 10-3

17
**Note: zeros between numbers**

don’t change the rules! 9.209 X 106

18
**Note: zeros between numbers**

don’t change the rules! 4.005 X 10-5

19
**3.21 X 103 3210 Challenge! Can you go backwards?**

HINT: reverse the rules! Reverse the steps! 3.21 X 103 3210

20
**3.21 X 10-3 .00321 Challenge! Can you go backwards?**

HINT: reverse the rules! Reverse the steps! 3.21 X 10-3 .00321

21
**V. Math with Scientific Notation**

Steps Examples Multiplication Multiply coefficients Add exponents Adjust answer (5 X 102 ) X (3 X 106) 5 X 3 = = 8 15 X 108 1.5 X 109 (3.2 X 10-2) X (4 x 10 5) 3.2 X 4 = = 3 12.8 X 103 1.28 X 104

22
**Steps Examples B) Division (6 X 102 ) ∕ (3 X 106) Divide coefficients**

subtract exponents adjust answer (6 X 102 ) ∕ (3 X 106) 6 / 3 = = -4 2 X 10-4 (1.6 X 10-2) / (8 x 10 5) 1.6 / 8 = = -7 0.2 X 10-7 2.0 X 10-6

23
**Steps Examples C) Addition and Subtraction Adjust so exponents**

are the same add or subtract coefficients adjust answer (6 X 102 ) + (3 X 104) (6 X 102 ) + (3 X 104) (6 X 102 ) + (300 X 102) 306 X 102 3.06 X 104

Similar presentations

OK

+Addition – like terms -all variables and exponents must match. – add coefficients.

+Addition – like terms -all variables and exponents must match. – add coefficients.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Animated ppt on solar system Ppt on conservation of momentum examples Ppt on finite difference method Ppt on classroom action research Ppt on dsp Ppt on l&t finance india Ppt on types of sentences Ppt on polynomials of 900 Ppt online compressor software Download ppt on water level indicator