178 CHAPTER 4 Systems of Numeration We can write 45 as 40 5. + When 45 is written as a Greek numeral, the plus sign is omitted: 45 μ = ∈ Similarly, 768 written as a Greek numeral is ψξη. When the Greek letter iota, ,ι is placed to the left and above a numeral, it represents the numeral multiplied by 1000. For example, 9 1000 9000 θ = × = ι 7 1000 7000 ζ = × = ι 1 α alpha 60 ξ xi 2 β beta 70 ο omicron 3 γ gamma 80 π pi 4 δ delta 90 * koppa 5 ∈ epsilon 100 ρ rho 6 f* digamma 200 σ sigma 7 ζ zeta 300 τ tau 8 η eta 400 υ upsilon 9 θ theta 500 φ phi 10 ι iota 600 χ chi 20 κ kappa 700 ψ psi 30 λ lambda 800 ω omega 40 μ mu 900 * sampi 50 ν nu Table 4.4 Ionic Greek Numerals *Ancient Greek letters not used in the classic or modern Greek language Example 9 From an Ionic Greek Numeral to a Hindu–Arabic Numeral Write τπ∈ as a Hindu–Arabic numeral. Solution 300, 80, τ π = = and 5. ∈= The sum is 385. 7 Now try Exercise 61 Example 10 Writing an Ionic Greek Numeral Write 1654 as an Ionic Greek numeral. Solution 1654 1000 600 50 4 = + + + (1 1000) 600 50 4 = × + + + α χ ν δ = ι α χ ν δ = ι 7 Now try Exercise 67 Instructor Resources for Section 4.1 in MyLab Math • Objective-Level Videos 4.1 • Animation: Roman numeral o Hindu–Arabic • Animation: Hindu–Arabic Numeral o Roman • PowerPoint Lecture Slides 4.1 • MyLab Exercises and Assignments 4.1
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