Exercise Write 100 as a standard numeral. 1

Exercise Write 101 as a standard numeral. 10

Exercise Write 102 as a standard numeral. 100

Exercise Write 10–1 as a standard numeral. 0.1

Exercise Write 10–2 as a standard numeral. 0.01

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

4,892.67

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

4,892.67 = 4,000 + 800 + 90 + 2 + .6 + .07 = 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)

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

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

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

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

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

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

Example 4 Write 28 in base 2. Place value 25 24 23 22 21 20 Base value 32 16 8 4 2 1

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

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

Exercise Write 2A712 in base 10. 415

Exercise Write 9412 in base 10. 112

Exercise Write BC516 in base 10. 3,013

Exercise Write 1F816 in base 10. 504

Exercise Write 89 in base 12. 7512

Exercise Write 290 in base 12. 20212

Exercise Write 892 in base 16. 37C16

Exercise Write 798 in base 16. 31E16