180 likes | 294 Views
How many sunflowers are in this field?. How much water do the people of Chicago use daily?. 9,100,000,000 liters. 2 000 000 000 000 000 000 000 000 000 000 000g. What is the mass of the sun?. Earth. 9,100,000,000 liters 2 000 000 000 000 000 000 000 000 000 000 000g
E N D
How much water do the people of Chicago use daily? 9,100,000,000 liters
2 000 000 000 000 000 000 000 000 000 000 000g What is the mass of the sun? Earth
9,100,000,000 liters 2 000 000 000 000 000 000 000 000 000 000 000g So how can we write this in simpler way??
Scientific Notation: • Scientific notation is used to express very large or very small numbers.
Parts of Scientific Notation 2.32 x 107 A number between 1 and 10 x 10 to some power
Determine whether or not the given expression in a Scientific Notation Scientific Notation • 2.32 x 107 _________________ • 1 x 10-8 _________________ • 51.4 x 10-2 _________________ • 7.08 x 119 _________________ Scientific Notation Not a Scientific Notation Not a Scientific Notation
Writing Scientific Notation . 9 100 000 000 Step 1: Place the decimal after the first number 9.1 Step 2: Count the number of places 9.1 x 109
Writing Scientific Notation . 832 000 000 Step 1: Place the decimal after the first number 8.32 Step 2: Count the number of places 8.32 x 108
Writing Scientific Notation . 0 000 000 503 Step 1: Place the decimal after the first number 5.03 Step 2: Count the number of places 5.03 x 10-7
Writing Scientific Notation . 0 000 000 042 Step 1: Place the decimal after the first number 4.2 Step 2: Count the number of places 4.2 x 10-8
Express each set in Scientific Notation 4.23 3 • 4 230 ___ x 10_ • 312 000 000 ___ x 10_ • 500 000 ___ x 10_ • 0.000 000 123 ___ x 10_ • 0.000 045 ___ x 10_ 3.12 8 5 5 1.23 -7 4.5 -5
Writing Standard form . 6 43 x 104 Step 1: Move the decimal point 4 places to the right 6 43 Step 2: Put zeros if needed 64 300 . . 0 0
Writing Standard form . 3 07 x 107 Step 1: Move the decimal point 7 places to the right 3 07 Step 2: Put zeros if needed 30 700 000 . . 0 0 0 0 0
Writing Standard form . 2 03 x 10-3 Step 1: Move the decimal point 3 places to the left 2 03 Step 2: Put zeros if needed 0.002 03 . . 0 0
Writing Standard form . 8 x 10-7 Step 1: Move the decimal point 7 places to the left 8 Step 2: Put zeros if needed 0.000 000 8 . . 0 0 0 0 0 0
Express each set in Scientific Notation 3 000 • 3 x 103 ____________ • 9.11 x 108 ____________ • 2.01 x 102 ____________ • 4.7 x 10-6 ____________ • 8.21 x 10-5 ____________ 911 000 000 201 0.000 004 7 0.000 082 1
Review: Express each set in Scientific Notation 4.03 4 • 40 300 ___ x 10_ • 300 100 000 ___ x 10_ • 7 020 000 ___ x 10_ • 0.000 563 ___ x 10_ • 0.000 004 5 ___ x 10_ 3.001 8 7.02 6 5.63 -4 4.5 -6