1. NYS Mathematics Standards: 7.N.5, 7.N.6 Prior Knowlege: 100 = 101 =
October 21, 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: = =
102 = = =

2. 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 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

3. 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

4. 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