1 / 20

AF 2.1 & 2.2 Rules of Exponents/Monomials

AF 2.1 & 2.2 Rules of Exponents/Monomials. Monomial. Monomial - is a term such as 4x. Includes a number and one or more variables. Example: 5x, 3x 2. Like Terms .

neylan
Télécharger la présentation

AF 2.1 & 2.2 Rules of Exponents/Monomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. AF 2.1 & 2.2Rules of Exponents/Monomials

  2. Monomial • Monomial- is a term such as 4x. Includes a number and one or more variables. Example: 5x, 3x2

  3. Like Terms • Like terms are made up of exactly the same variable and the same powers of these variables. In the phrase 2x+3x, the items 2x and 3x are called like terms. Example: Simplify by adding similar or like terms. 2x+4+3x-1 <---- *2x and 3x are like terms. *4 and -1 are like terms. On your paper, combine the like terms and simply the expression.

  4. Answer: 2x+4+3x-1 =5x+3

  5. Whiteboard CFU! Which of the following is a monomial? • 12x • x-y • 4x2

  6. Multiplying Monomials Using the Commutative Property • Commutative Property: We can multiply in any order and the product is the same: a x b = b x a a2b2 = b2a2

  7. Remember! When you are multiplying with identical bases, you simply add the exponents in order to simplify.

  8. Example: a2 X a3 (a x a) X ( a x a x a) -------- = a5 --------

  9. Whiteboard CFU! Commutative property says…. n2 X m is the same as _______ x2 X z2 is the same as _______ p3 X s2 is the same as _______

  10. Whiteboard CFU! 23 X 22 • Write in expanded form__________ • Simplify the following: __________

  11. Whiteboard CFU! • Simplify the following: 5b + 2c +3b + 2 - 5= __________

  12. Whiteboard CFU! • Simplify the following: -4a + (-5a) + 3 - 7 = __________

  13. AF 2.2- Powers of Monomials • An exponent tells how many times a number or variable is used as factor: BIG NOTE: Power of a Power. For any number x, and all integers a and b: (xa )b = xab Example: (23)2= 2 x 2 x 2 x 2 x 2 x 2 = 26

  14. Dividing Monomials • x5/x2 = xxxxx ÷ xx= x3 BIG Note: Cancel x/x as 1 Example: Simplify m5 n3/ m2n= ____________ <---Expanded form =_______________ <--- Simplest form

  15. Whiteboard CFU! x4y4z4 / x4y2z a3b2c5 / a2bc4

  16. Squares and Square Roots of Monomials • To find the square root of a monomial with a variable, • Break into numbers and letters • Find the square root of each part Example: √9x4 = √9 √x4 <------- Think: What expression do you multiply by itself to get x4 = 3 x2 =3x2

  17. Whiteboard CFU! Find the square roots of the following: • 25= • 121= • n6= • z4=

  18. Whiteboard CFU! e) √16y2 f) √36n10

  19. Independent Practice AF 2.1 Simplify each expression: • 4x+2+x-1 • 2a+5+a+2 • 5a-2b+4+2a+b+2 • 4x+5y+6+3x+y • r+1+2r+2r-3 • 3x-(2x+4)+2 • 34 x36 • x2 x2x3

  20. Write each of the following in expanded form and evaluate: 1. (5x)3 2. 3. (11z)3 4. (4x)2 5. (2x2y)2 6. x2 y5/ x3 y2 7. a4 b2/ a3 b2 8. 18a4 n5/ 3a3 n 9. xyz/xyz Find the square roots: 10. √100x8 11. √49g2 12. √4g2h2 13. √25x2y6 14. √64m4 15. √16x2y2z2 16. √4r10 17. √9y10 18. √81z2 Independent Practice AF 2.2

More Related