Your SlideShare is downloading. ×
Ch. 4, Sec 2: Exponents
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Saving this for later?

Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime - even offline.

Text the download link to your phone

Standard text messaging rates apply

Ch. 4, Sec 2: Exponents

2,117
views

Published on

Chapter 4, Section 2 Notes on Exponents

Chapter 4, Section 2 Notes on Exponents

Published in: Education, Technology, Business

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
2,117
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
43
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. Ch. 4, Sec 2: Exponents
    • Warm Up: Find the Product
    • 3 x 3 x 3 x 3 =
    • -12 x (-12) =
    • (-4)(-4)(-4)(-4) =
    • 10 · 10 · 10 · 10 · 10 =
  • 2. Exponents
    • You can use EXPONENTS to show repeated multiplication.
    • (Just like multiplication can show repeated addition).
    • A POWER has two parts :
    • A BASE : the factor. (a number or variable)
    • And an EXPONENT : the number of times the base (or factor) is multiplied by itself.
    9 7 Base Exponent
  • 3. Exponents: Exponential Notation
    • 2 • 2 • 2 • 2 • 2 • 2 = 2 6
    Exponential Notation Expanded Notation
  • 4. Exponents…Show me!
    • Exponential Notation.
    • And Value. (The answer).
    • a. 12
    • b. 6 x 6
    • c. –(7 x 7 x 7)
    • d. (-8)(-8)(-8)(-8)(-8)
  • 5. Exponential Notation and Answers
    • Twelve to the first power.
    • 12 1 , 12
    • Six to the second power, or six squared.
    • 6 2 , 6 • 6 = 36
    • The opposite of the quantity seven to the fourth power.
    • -7 4 , - (7 • 7 • 7 • 7) 4 = - (2,401) = -2,401
    • Negative eight to the fifth power.
    • (-8) 5 , (-8)(-8)(-8)(-8)(-8) = -32,768
  • 6. Writing Exponential Notation
    • Remember to include the Negative Sign.
    • (-5)(-5)(-5) = (-5) 3
    • Rewrite the expression using the commutative and associative properties.
    • -2 • a • b • a • a =
    • -2 • a • a • a • b = -2a 3 b
  • 7. Exponents and Negative Integers
    • So when you multiply 2 negative numbers… what do you get?
    • A positive number
    • When you multiply 3 negative numbers… what do you get?
    • A negative number
  • 8. Exponents and Negative Numbers
    • When you multiply an EVEN number of negative integers, the answer will be positive.
    • When you multiply an ODD number of negative integers, the answer will be negative.
  • 9. Word Problem:
    • A microscope can magnify a specimen 10 3 times. How many times is that?
  • 10. Orders of Operations
    • Work inside the grouping symbols
    • Simplify any terms with exponents.
    • Multiply and divide in order from left to right.
    • Add and subtract in order from left to right.
  • 11. Example Problem:
    • 4(3+2) 2 =
    • Grouping Symbols: 3+2 = 5
    • Exponents: 5 2 = 5 • 5 = 25
    • Multiplying/Dividing: 4 • 25 = 100.
    • Addition/Subtraction?: Nope
    • So, 100 is the answer.
  • 12. Example Problem:
    • -2x 3 + 4y, for x = -2 and y = 3.
    • Substitute Variables: -2(-2) 3 + 4(3)
    • Grouping Symbols: None
    • Exponents: (-2) 3 = (-2)(-2)(-2) = -8
    • -2(-8)+ 4(3)
    • Multiplication/Division: 16 + 12 = 28
    • Addition/Subtraction: None
    • So, 28 is the answer.
  • 13. Assignment #41:
    • Page 180: 5 – 31 all.
    • 32 and 33 are extra credit!!!