NYS Mathematics Standards: 7.N.5, 7.N.6 Prior Knowlege: 100 = 101 = October 21, 2009 Math 102 Objective: Students will write numbers in scientific notation and translate numbers from scientific notation into standard form. Aim: What are the two factors that we use to represent scientific notation? NYS Mathematics Standards: 7.N.5, 7.N.6 Prior Knowlege: 100 = 101 = 102 = 103 = 104 =

In scientific notation, there are always 2 factors. Mini-lesson: Powers of 10 are used to abbreviate very large numbers. This way of writing numbers is called scientific notation. It is commonly used in scientific and medical fields. In scientific notation, there are always 2 factors. 1st factor = a number greater than or equal to 1 and less than 10 2nd factor = a power of 10 Examples: 3 x 106 6.5 x 1012 Standard Form Scientific Notation 1,000 (one thousand 1 x 103 1,000,000 (one million) 1 x 106 1,000,000,000 (one billion) 1 x 109

Example: Write 670,000,000 using scientific notation. Place a decimal point after the first digit. Write the first factor by using the two non-zero digits of the number. The first factor is 6.7 Count the number of digits to the right of the first digit in the number. There are 8 digits after the first digit. Because there are 8 places to the right of the first digit, the second digit is 108. Write the two factors together: 670,000,000 = 6.7 x 108

Group Practice: Write in scientific notation: 5,600,000,000 3,000 2,670,000 Independent Practice: Write in scientific notation: 200 9,783,000,000 45,980 Homework: Worksheet problems #1 - 8