1. Exercise
Write 100 as a standard numeral. 1

2. Exercise
Write 101 as a standard numeral. 10

3. Exercise
Write 102 as a standard numeral.
100

4. Exercise
Write 10–1 as a standard numeral.
0.1

5. Exercise
Write 10–2 as a standard numeral.
0.01

6. Face value – quantity assigned to it
Place value – position in the numeral

7. 4,892.67

8. 4,892.67 4 ,8 9 2 .6 7
1,000s
100s
10s 1s
0.1s
0.01s
Place value
103
102
101
100
10–1
10–2
Face value 4 8 9 2 6 7

9. 4,892.67
= 4,
= 4(1,000) + 8(100) + 9(10) + 2(1) + 6(.1) + 7(.01)
= (4 x 103) + (8 x 102) + (9 x 101) + (2 x 100) + (6 x 10–1) + (7 x 10–2)

10. Place Values
Decimal System
106 56
105 55
104 54
103 53
102 52
101 51
100 50
Base 5 System

11. Base 5 15 25 35 45
105
Base 10 1 2 3 4 5
Base 5
115
125
135
145
205
Base 10 6 7 8 9 10

12. Example 1
Write 1345 in base 10.
Place value 52 51 50
Face value 1 3 4

13. Example 2
Write 1012 in base 10.
Place value 22 21 20
Face value 1 1

14. Digit in Base 16 A B C
Face Value in Base 10 10 11 12
Digit in Base 16 D E F
Face Value in Base 10 13 14 15

15. Example 3 A 5 3 Write A5312 in base 10. Place value 122 121 120
Face value A 5 3

16. Example 4 Write 28 in base 2. Place value 25 24 23 22 21 20 Base value32 16 8 4 2 1

17. Example 5 Write 43 in base 5. Place value 53 52 51 50 Base value 125

18. Example 6 Write 2,564 in base 16. Place value 163 162 161 160
Base value
4,096
256 16 1

19. Exercise
Write 2A712 in base 10.
415

20. Exercise
Write 9412 in base 10.
112

21. Exercise
Write BC516 in base 10.
3,013

22. Exercise
Write 1F816 in base 10.
504

23. Exercise
Write 89 in base 12.
7512

24. Exercise
Write 290 in base 12.
20212

25. Exercise
Write 892 in base 16.
37C16

26. Exercise
Write 798 in base 16.
31E16