Get papers sit down &quietly work on bellringer 20 -10 = 21 = -5 -49/-7
Get papers sit down &quietly work on bellringer 20 -10 = 21 = -5 -49/-7 10 = -5 -2 21 = 7 3
2-1 Powers and Exponents
Defintion exponent base The number times the base is multiplied. The number of bases there are. The number being used as a factor. The number being multiplied over and over again.
base The number being used as a factor. The number being multiplied over and over again. 5 x 5 x 5 The number being multiplied over again is 5 Base
exponent The number times the base is multiplied. The exponent tells us to multiply 5 three times. The number of bases there are. Exponent
Defintion power a number expressed using an exponent.
power a number expressed using an exponent. Power
Ch. 2-1 Powers and Exponents Recall the order of Operations: -An exponent tells how many times a number, or base, is used as a factor. Example: 23 = 2 * 2 * 2 where 2 is the base and 3 is the exponent -An expression using a base and an exponent is a power. Example: 42 is a power Example 1: Write the following expressions using exponents. a.) 2 * 2 * 5 * 5 * 5 * 5 b.) a * a * a * a * b * b * b 22 * 54 a4 * b3 Recall the order of Operations: 1.) Work inside grouping symbols 2.) Simplify Powers (exponents) 3.) Multiply and divide from left to right whatever comes first 4.)Add and subtract from left to right whatever comes first
Example 1: Simplify the following powers below. a.)(-5)4 b.) -52 c.) (-2)3 625 -25 -8 *Make sure that if the negative sign is in the parentheses you include it when you multiply that number by itself however many times. *If it is not inside parentheses then your answer is ALWAYS negative! Example 2: Simplify each expression below. a.) 26 – (2 * 5)2 b.) -4 + 6 * 32 26 – (10)2 -4 + 6 * 9 26 – 100 = -4 + 54 -74 = 50
c.) (-3)2 + 12 * 2 d.) -22 + 6 * 1 9 + 12 * 2 -4 + 6 * 1 -4 + 6 9 + 24 = 33 = 2
Homework Pg 70 #10-28, 32, 36 evens only Show work for 24, 26, and 28