Download presentation

Presentation is loading. Please wait.

Published byTaniya Piller Modified over 3 years ago

1
Scientific Notation

2
Consists of two parts 1. mantissa The full size number that comes before x 10 2. characteristic The exponent that comes after x 10 and is superscript

3
Scientific Notation Example: 3.00 x 10 15 Mantissa Characteristic

4
Scientific Notation To convert a normal number to scientific notation, move the decimal either to the left or right until you have a mantissa which is greater than -10 or less than +10

5
Scientific Notation If the absolute value of the number is smaller than 1, the characteristic will be negative If the absolute value of the number is larger than 1, the characteristic will be positive

6
Scientific Notation Example: 542 The absolute value of the number is greater than one so the characteristic is positive 542 Moved to the left two spaces 5.42 x 10 2

7
Scientific Notation Example: -45000000 The absolute value of the number is greater than one so the characteristic is positive -45000000 Moved to the left seven spaces -4.5 x 10 7

8
Example: 0.0040 The absolute value of the number is less than one so the characteristic is negative 0.0040 Moved to the right three spaces 4.0 x 10 -3

9
Example: -0.209 The absolute value of the number is less than one so the characteristic is negative -0.209 Moved to the right one space -2.09 x 10 -1

10
Example : 9.245 The absolute value of the number is between -10 and +10. 9.245 The decimal is not moved. In this case, the characteristic is zero. 9.245 x10 0

11
Let’s Practice Change 47600000 into scientific notation. = 4.76 x 10 7

12
Let’s Practice Change 0.0890 into scientific notation. = 8.90 x 10 -2

13
Let’s Practice Change 50000 into scientific notation. = 5 x 10 4

14
Let’s Practice Change 50000. into scientific notation. = 5.0000 x 10 4

15
Let’s Practice Change 0.000005454 into scientific notation. = 5.454 x 10 -6

16
Expanding Scientific Notation to Regular notation If the characteristic is positive, move the decimal to the right. If the characteristic is negative, move the decimal to the left.

17
Expanding Scientific Notation to Regular notation Example 6.50 x 10 2 The characteristic tells us to move two places to the right. 650.

18
Expanding Scientific Notation to Regular notation Example 6.50 x 10 -2 The characteristic tells us to move two places to the left. 0.0650

19
Let’s Practice Convert 9.7 x 10 -2 into regular notation. 0.097

20
Let’s Practice Convert 9.7 x 10 2 into regular notation. 970

21
Let’s Practice Convert 5.60 x 10 2 into regular notation. 560.

22
Let’s Practice Convert 6.02 x 10 23 into regular notation. 602,000,000,000,000,000,000,000 Isn’t scientific notation great?

23
Fixing Incorrect Scientific Notation Fix the mantissa by moving the decimal Add the “fixed” characteristic to the original characteristic

24
Example 20.4 x 10 6 (incorrect) Moved over one space to the left (+) to correct the mantissa 2.04 x 10 (6+1) 2.04 x 10 7 (correct)

25
Example 200.4 x 10 -6 (incorrect) Moved over two spaces to the left (+) to correct the mantissa 2.004 x 10 (-6+2) 2.004 x 10 -4 (correct)

26
Example 0.00340 x 10 8 (incorrect) Moved over three spaces to the right (-) to correct the mantissa 3.40 x 10 (8 + -3) 3.40 x 10 5 (correct)

27
Example 0.00340 x 10 -8 (incorrect) Moved over three spaces to the right (-) to correct the mantissa 3.40 x 10 (-8 + -3) 3.40 x 10 -11 (correct)

28
Practice Fix the following incorrect number. 0.000579 x 10 11 5.79 x 10 (-4 + 11) 5.79 x 10 7 (correct)

29
Practice Fix the following incorrect number. 0.040 x 10 -4 4.0 x 10 (-2 + -4) 4.0 x 10 -6 (correct)

30
Practice Fix the following incorrect number. 770.040 x 10 -9 7.70040 x 10 (2 + -9) 7.70040 x 10 -7 (correct)

31
Practice Fix the following incorrect number. 65070.0 x 10 3 6.50700 x 10 (4 + 3) 6.50700 x 10 7 (correct)

Similar presentations

OK

Floating Point in Binary 1.Place Value Chart: 8421.25.50.125 23232 2121 2020 2 -1 2 -2 2 -3.

Floating Point in Binary 1.Place Value Chart: 8421.25.50.125 23232 2121 2020 2 -1 2 -2 2 -3.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Product mix ppt on nestle chocolate Ppt on conservation of environment project Ppt on remote server monitoring system Ppt on quality education school Ppt on formation of storm and cyclones Ppt on solar system formation What does appt only mean one thing Ppt on fdi in retail in india Ppt on any one mathematician salary Ppt on data handling for class 3