1. Using Exponents to Write Large Numbers
The modern notation for exponents (writing them raised at a higher level) originated with Rene Descartes in 1637.

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

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

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

12. 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 =
200
1,000 x 3 =
3,000
10,000 x 7 =
70,000
100,000 x 9 =
900,000

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

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

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

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

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

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

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

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

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

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