1. Exponents

2. Location of Exponent An An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent

3. Definition of Exponent An An exponent tells how many times a number is multiplied by itself. 3 4 Base Exponent

4. What an Exponent Represents An exponent tells how many times a number is multiplied by itself. An exponent tells how many times a number is multiplied by itself. 3 4 = 3 x 3 x 3 x 3

5. How to read an Exponent This This exponent is read three to the fourth power. 3 4 Base Exponent

6. How to read an Exponent This This exponent is read three to the 2 nd 2 nd power or or three squared. 3 2 Base Exponent

7. How to read an Exponent This This exponent is read three to the 3rd power or or three cubed. 3 3 Base Exponent

8. Read These Exponents 32 67 2354

9. What is the Exponent? 2 x 2 x 2 =2 3

10. Any number to the 1 st power equals that number. 6¹ = 6

11. Any number to the zero power equals one. 8º = 1 4º = 1 2005º = 1

12. What is the Exponent? 3 x 3 =3 2

13. What is the Exponent? 5 x 5 x 5 x 5 =5 4

14. What is the Base and the Exponent? 8 x 8 x 8 x 8 =8 4

15. What is the Base and the Exponent? 7 x 7 x 7 x 7 x 7 =7 5

16. What is the Base and the Exponent? 9 x 9 =9 2

17. How to Multiply Out an Exponent to Find the Standard Form = 3 x 3 x 3 x 33 9 27 81 4

18. What is the Base and Exponent in Standard Form? 4 2 = 16

19. What is the Base and Exponent in Standard Form? 2 3 = 8

20. 3 1 = 3

21. 5 0 = 1

22. Exponents Are Often Used in Area Problems to Show the Feet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft. 2 15ft. 30ft

23. 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. Width = 10 cm. Height = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 3 10 20

24. Here Are Some Areas Change Them to Exponents 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm. 2 2 2 2

25. Here Are Some Volumes Change Them to Exponents 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3 3

26. Exponents of Ten Notice that the number of zeros matches the exponent number 2 10 3 4 5 100 1,000 10,000 100,000

27. Exponents of Ten What Is the Standard Form of These Tens? 2 10 3 4 5 100 1,000 10,000 100,000

28. Multiplying Multiples of Ten Multiply These Numbers 100 x 2 = 1,000 x 3 = 10,000 x 7 = 100,000 x 9 = 200 3,000 70,000 900,000

29. Multiplying Multiples of Ten Did you notice that all you have to do is multiply 1 x whole number & add the zeros behind? 100 x 2 = 1,000 x 3 = 10,000 x 7 = 100,000 x 9 = 200 3,000 70,000 900,000

30. Short Cut for Writing Large Numbers Combine these two steps for writing large numbers. 6 x 10 2 = 6 x (10 x 10) = 6 x 100 = 600 600

31. Short Cut for Writing Large NumbersRemember! The exponent is the same as the number of zeros. 6 x 10 2 = 600

32. What is the Standard Number? 7 x 10 2 = 700

33. What is the Standard Number? 8 x 10 3 = 8,000

34. What is the Standard Number? 9 x 10 4 = 90,000

35. What is the Standard Number? 4 x 10 2 = 400

36. What is the Exponent Form? 7 x 10 5 = 700,000

37. What is the Exponent Form? 5 x 10 2 = 500

38. What is the Exponent Form? 6 x 10 3 = 6,000

39. What is the Exponent Form? 9 x 10 4 = 90,000