Warm Up Multiply 15 x 1000 3.2 x 100 7.16 x 10,000 261 x 0.00001 3.2 x 0.0001 52.81 x 0.001 Solution 15,000 320 71,600 0.00261 0.00032 0.05281

4.2 Scientific Notation Academic Objective: Writing Objective: Homework: We will read, write and compare rational numbers in scientific notation. I can write a value in Standard Form and Scientific Notation. Practice Workbook 4.2 Pp 51-52; All

Scientific Notation has only one number left of the decimal. What is Standard form? What is scientific notation? Scientific Notation has only one number left of the decimal. In the example: 5 is 5.0, the 5 is left of the decimal. 3.25 has the 3 left of the decimal.

Standard to Scientific How do we go from Standard Form to Scientific Notation? What’s the rule? Standard to Scientific Moving the Decimal: Left makes a positive exponent Right makes a negative exponent

Scientific to Standard How do we go from Scientific to Standard? What’s the Rule? Scientific to Standard Moving the Decimal: Positive Exponent moves Right Negative Exponent moves Left

You only get out what you put into it!

Class Work: Try the problems. Check your answers with your neighbor. Write the numbers in scientific notation. 400 7,300,000 63,000,000,000 230,000 2,420,000 105 Solutions: 4 x 102 7.3 x 106 6.3 x 1010 2.3 x 105 2.42 x 106 1.05 x 102

Class Work: Try the problems. Check your answers with your neighbor. Write the number 30 x 107 in scientific notation. Write the numbers in scientific notation 0.00475 0.00000526 0.0000000082 0.0237 Solutions 3 x 108 4.75 x 10-3 5.26 x 10-6 8.2 x 10-9 2.37 x 10-2

Class Work: Try the problems. Check your answers with your neighbor. Write the number in standard form. 3.5 x 103 2.48 x 106 5.1 x 10-4 9.16 x 10-2 Solution 3,500 2,480,000 0.00051 0.0916