Slide 2:
Scientific notation is a system of working with numbers that is designed to make it easier (yes, easier!) to work with very large and very small number
It is based on the decimal system
Any number can be converted into scientific notation after first being converted into a decimal 1,000,000,000 1,000,000,000,000,000 0.0000000001 1,000,000 0.00001
Slide 3:
To convert a decimal into scientific notation, the decimal point is moved until it is just right of the first numeral
The number of spaces the decimal point moves to the left becomes the exponent
Example: 1200 becomes 1.2x103 12000 1 2 3
Slide 4:
Let’s practice - convert the following numbers into scientific notation: = 1.4x105 = 8.5x107 = 3x102 300 85,000,000 140,000
Slide 5:
Scientific notation also works for numbers that are less than one
Again, the decimal point is moved to just right of the first numeral
When the decimal point is moved right, the exponent is a negative number
Example: 0.0012 becomes 1.2x10-3 00012 3 2 1
Slide 6:
Let’s practice - convert the following numbers into scientific notation: = 8.6x10-8 = 4.5x10-6 = 3x10-2 0000000086 00000045 003
Slide 7:
The beauty of this system becomes evident when you need to convert by factors of ten
To multiply a number by ten, just add one to the exponent
To divide a number by ten, just subtract one from the exponent
Example: 1200 becomes 1.2x103
12000 becomes 1.2x104
120 becomes 1.2x102
Slide 8:
Let’s practice – do the following calculations: = 1 x 105 = 4.3 x 102 = 6 x 1010 = 3 x 10-2 = 7.4 x 10-7 1x104 x 10 4.3x103 ÷ 10 7.4x10-5 ÷ 100 6x108 x 100 3x10-3 x 10