Transcript of Fall 20041 Working with Powers Integer Exponents Exponent Rules Order of Operations.
Fall 2004 1
Working with Powers
• Integer Exponents
• Exponent Rules
• Order of Operations
Fall 2004 2
Examples
• 2 × 2 =
• 2 × 2 × 2 =
• 2 × 2 × 2 × 2 =
• How can we write these in
shorter notation?
22
32
42
Fall 2004 3
Examples
• Multiplication is a shortcut for repeated addition.
• Exponents are a shortcut for repeated multiplication.
3 + 3 + 3 + 3 + 3 = 5 × 3
3 × 3 × 3 × 3 × 3 = 53
Fall 2004 4
Write these numbers using exponential notation:
• 10,000 = 10?
• 27 = 3?
• 32 = 2?
Fall 2004 5
Computer Memory
A byte is capable of storing one letter of the alphabet. For example, the word “math” requires four bytes to store in a computer. Bytes of computer memory are often manufactured in amounts equal to powers of 2.
Fall 2004 6
For Example
1 kilobyte (1K) = 210 =
1 megabyte (1 MB) = 220 =
Fall 2004 7
Integer Exponents
• Base 4• Exponent 3
• 43 is called a power
• 43 = 4 x 4 x 4
• = 64
34
Fall 2004 8
You try these . . .
• 72
• 54
• 210
Fall 2004 9
Operations with Exponents
• Multiply (x3)∙(x4)= (x ∙ x ∙ x) ∙ (x ∙ x ∙ x ∙ x)