Download presentation

Published byMeghan McGee Modified over 8 years ago

1
Scientific Notation Scientific notation is used when numbers are either very large or very small Standard Notation Scientific Notation Measurement 300,000,000 m/sec 3.00Γ108Β m/s speed of light Β kg Γ10β31Β kg mass of electron Β kg 1.6726Γ10β27Β kg mass of proton Β kg 5.9736Γ1024Β kg mass of Earth kg 7.53Γ10β10Β kg mass of a dust particle Β m (40 Mm) 4Γ107Β m circumference of Earth km x1012 km one light year

2
**Scientific Notation is based on powers of the base number 10 **

The number 123,000,000,000 in scientific notation is written as: π.ππ π ππ ππ The first number, 1.23, is called the coefficient. It must be greater than or equal to 1 and less than 10. The second number is called the base. It must always be 10 in scientific notation. The number 11 is referred to as the exponent.

3
**Converting from Standard Form to Scientific Notation**

Place the decimal point to the right of the first non-zero digit. Count the number of decimal places the decimal has "moved" from the original number.Β This will be the exponent of the 10. If the original number was less than 1, the exponent is negative; If the original number was greater than 1, the exponent is positive.

4
Examples: Given: (moved decimal point 6 decimal places) Answer:Β Β 4.75 X 106 The original number was greater than 1 so the exponent is positive Given:Β 7.89Β (moved decimal point 4 decimal places) Answer:Β Β 7.89 X 10-4 The original number was less than 1 so the exponent is negative

5
**Converting from Scientific Notation to Standard Form**

Move the decimal point to the right for positive exponents of 10.Β The exponent tells you how many places to move.Β Move the decimal point to the left for negative exponents of 10.Β The exponent tells you how many places to move.

6
Examples: Given:Β x 10-8 Negative exponents move decimal to the left Answer:Β Β Β Given:Β x 103 Positive exponents move decimal to the right Answer:Β Β 5024

7
**Try working on Practice Questions β¦**

Scientific Notation Ex) Convert the following to scientific notation: (a) = ______________________ (b) = ____________________ 5.3 x 10-5 4.0 x 107 Try working on Practice Questions β¦ Express the following numbers in scientific notation: = _________________________ = _________________________ 58.23 = _________________________ = _________________________ 12452 = _________________________ 1.003 x 1012 3.998 x 10-10 5.823 x 101 2.038 x 10-1 x 104

8
**For the following use the exponent button on your calculator **

2. Express the following numbers to decimal notation: 1.77 x 107 = ________________________ 2.552 x 10-9 = _________________________ 1.18 x 103 = _________________________ 4.44 x 10-1 = _________________________ 1.399 x 100 = _________________________ 1180 0.444 1.399 For the following use the exponent button on your calculator EXP, E, EE, x10x 3. Express the results of the following operations in scientific notation: 1.39 x x 10-4 = _________________________ 1.17 x x 102 = _________________________ (1.81 x 10-3) (1.06 x 1020) = _________________________ (5.77 x 10-4) οΈ (1.71 x 10-11) = _________________________ 1.42 x 10-2 1.13 x 104 1.92 x 1017 3.37 x 107

Similar presentations

© 2023 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