scientific notation2
TRANSCRIPT
Part 2Part 2
Multiplication and Multiplication and DivisionDivision
gives us a way of writing very gives us a way of writing very large and very small numbers large and very small numbers and it allows us to easily do and it allows us to easily do
multiplication and division of multiplication and division of these numbers.these numbers.
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?Step 1:
Convert to Scientific Notation
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?
Step 2:
Multiply the decimal numbers
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?
Step 3:
Add the exponents.
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?
Step 4:
Combine the results
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?
Step 5:
Simplify by moving the decimal and increasing the exponent
6,000,000,000 * 2,000,000 6,000,000,000 * 2,000,000 = ?= ?
The answer:
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?Step 1:
Convert to Scientific Notation
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?
Step 2:
Divide the decimal numbers
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?
Step 3:
Subtract the exponents.
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?
Step 4:
Combine the results
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?
Step 5:
Simplify by moving the decimal and decreasing the exponent
6,000,000,000 / 2,000,000 6,000,000,000 / 2,000,000 = ?= ?
The answer:
Some more examplesSome more examples
1. 5,000 * 12,000 =5 * 103 * 1.2 * 104 =(12*5) * 10(3+4) =
60 * 10(7) =
6 * 108
Some more examplesSome more examples
2. 6,600 / 20,000 =6.6 * 103 / 2.0 * 104 =
(6.6/2) * 10(3-4) = 3.3 * 10-1
Your turn:Your turn:
7,000 * 500,000 =7,000 * 500,000 = 6,400,000 * 2,000,000,000 =6,400,000 * 2,000,000,000 = 400,000,000 * 6,000,000,000 400,000,000 * 6,000,000,000
== 900,000,000 / 3,000,000 =900,000,000 / 3,000,000 = 6,000,000,000 / 2,000,000 =6,000,000,000 / 2,000,000 = 5,000,000,000,000 / 10,000 =5,000,000,000,000 / 10,000 =