Transcript Exponents
Exponents - An introduction - By Carol Edelstein David E. Owens Middle School New Milford, NJ Location of an Exponent An exponent is a number high and to the right of a base number. Base 3 4 Exponent Definition of Exponent An exponent tells you how many times the base number is multiplied by itself. 4 Base So, 3 Exponent 34 is equal to 3 x 3 x 3 x 3. How to read an Exponent This exponent is read “three to the fourth power”. 4 3 This exponent is read “two to the sixth power”. 2 6 How to read an Exponent (the special cases) This exponent is read “seven to the second power” or “seven squared”. 7 2 8 3 This exponent is read “eight to the third power” or “eight cubed”. Practice – Read These Exponents 3 2 2 3 6 5 7 4 Did you get… Three to the second power or Three squared 3 2 Six to the fifth power 2 3 Two to the third power or Two cubed 6 5 7 4 Seven to the fourth power What is the Exponent? 2x2x2= 2 3 What is the Exponent? 3x3= 3 2 What is the Exponent? 5x5x5x5= 5 4 What is the Base and the Exponent? 8x8x8x8= 8 4 What is the Base and the Exponent? 7 x 7 x 7 x 7 x 7 =7 5 What is the Base and the Exponent? 9x9= 9 2 How to multiply out an Exponent to find the Standard Form 4 3 =3x3x3x3 9 27 81 Write the Power in Standard Form 4 2 = 16 4 x 4 = 16 Make sure that you do not read this question as 4 x 2. Write the Power in Standard Form 2 3 = 8 2x2x2= 4x2= 8 How did you do? Write the Power in Standard Form 3 2 = 9 3x3= 9 Again, make sure that you do not read this question as 3 x 2. Write the Power in Standard Form 5 4 = 625 5 x 5 x 5 x5 = 25 x 5 x 5 = 125 x 5 = 625 Exponents used in Area Problems Area = length x width 15ft Length = 30 ft Width = 15 ft 30ft Area = 30 ft x 15ft = 450 ft 2 Remember: ft 2 = ft x ft Exponents are used in Volume Problems Volume = length x width x height length = 10 cm width = 10 cm height = 20 cm 20cm 10cm 10cm Volume = 3 20 cm x 10 cm x 10 cm = 2,000 cm Remember: cm3 = cm x cm x cm Exponents are also used… in scientific notation to express very large or small numbers. Example: The distance to the sun is about 90,000,000 miles. Using scientific notation, we can write this number. 90,000,000 = 9 x 10 x 10 x 10 x 10 x 10 x 10 x 10 9 x 10 7 Scientific notation Congratulations, now you know a little more about exponents. The End