5 1 Exponents Objective Understand evaluate exponents Location
5. 1 Exponents Objective: Understand evaluate exponents.
Location of Exponent An exponent is a little number high and to the right of a regular or base number. In technical writing terms it is called a superscript. Base 4 3 Exponent
Definition of Exponent An exponent tells how many times a number is multiplied by itself. Base 3 4 Exponent
What an Exponent Represents An exponent tells how many times a number is multiplied by itself. 4 3 = 3 ∙ 3 ∙ 3 = 81
How to read an Exponent This exponent is read three to the fourth power. Base 3 4 Exponent
How to read an Exponent This exponent is read three to the 2 nd power or three squared. Base 3 2 Exponent
How to read an Exponent This exponent is read three to the 3 rd power or three cubed. Base 3 3 Exponent
What is the Exponent? 2∙ 2∙ 2= 2 3
What is the Exponent? 3∙ 3= 3 2
What is the Exponent? 5∙ 5∙ 5∙ 5= 5 4
What is the Base and the Exponent? 8∙ 8∙ 8∙ 8= 8 4
What is the Base and the Exponent? 7∙ 7∙ 7= 7 5
How to Multiply Out an Exponent to Find the Standard Form 4 3 =3∙ 3∙ 3∙ 3 9∙ 3 27 ∙ 3 81
Simplify 4 2 = 16
Simplify 2 3 = 8
Simplify 5 3 = 125
Notice the difference between the two:
Commutative Property and Variables • The order of the terms or items in a multiplication problem does not matter. • It is considered good math “grammar” to list variables in alphabetical order if there is no other obvious reason not to do so. • For example: x∙d∙d= d ∙ d ∙ x = d 3 x 2
Be careful… • Are these equivalent? =? 2 2 -x =? (-x) 2 -3 2 (-3)
Exponents Are Often Used in Area Problems to Show the Feet Are Squared Length x width = area 15 ft. A pool is a rectangle 30 ft Length = 30 ft. Width = 15 ft. 2 Area = 30 ∙ 15 = 450 ft.
Exponents Are Often Used in Volume Problems to Show the Centimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. 20 10 Width = 10 cm. 10 Height = 20 cm. Volume = 3 20 ∙ 10 = 2, 000 cm.
Assignment 5. 1 Worksheet
- Slides: 22