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Write the Hindu-Arabic numbers corresponding to each of the following Roman numerals.

a. VIII

b. [tex]XL[/tex]

c. XV

d. XVI

e. XXVII

f. [tex]XXXIII[/tex]

g. XXXIV

h. [tex]XX[/tex]

i. XVII

j. XIX

Sagot :

GinnyAnsweridn
Sure, let's convert each of the given Roman numerals to their corresponding Hindu-Arabic numbers step-by-step.

### Conversion steps:

1. VIII
- 'VIII' stands for 8.

2. XL
- 'XL' stands for 40.

3. XV
- 'XV' stands for 15.

4. XVI
- 'XVI' stands for 16.

5. XXVII
- 'XXVII' stands for 27.

6. XXX [tex]\(\sqrt{III}\)[/tex]
- 'XXX' typically stands for 30, and '[tex]\(\sqrt{III}\)[/tex]' would imply taking the square root of 'III' which is 3. The square root of 3 ([tex]\(\sqrt{III}\)[/tex]) is approximately 1.732, but this Roman numeral is treated as 'XXXIII' which stands for 33.

7. XXXIV
- 'XXXIV' stands for 34.

8. XX
- 'XX' stands for 20.

9. XVII
- 'XVII' stands for 17.

10. XIX
- 'XIX' stands for 19.

### Final Hindu-Arabic Numbers:
a. [tex]\( VIII \)[/tex] = 8

b. [tex]\( XL \)[/tex] = 40

c. [tex]\( XV \)[/tex] = 15

d. [tex]\( XVI \)[/tex] = 16

e. [tex]\( XXVII \)[/tex] = 27

f. [tex]\( XXX \sqrt{III} \)[/tex] = 33

g. [tex]\( XXXIV \)[/tex] = 34

h. [tex]\( XX \)[/tex] = 20

i. [tex]\( XVII \)[/tex] = 17

j. [tex]\( XIX \)[/tex] = 19

Thus, the Hindu-Arabic numbers corresponding to the given Roman numerals are [tex]\(8, 40, 15, 16, 27, 33, 34, 20, 17\)[/tex], and [tex]\(19\)[/tex].
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