Place Values and Roman Numerals

6 lies at the hundreds place in 5609. Therefore, the place value of 6 is 600.

Two digit numbers start from 10 and end at 99.
Therefore, there are total 90 two digit numbers.

The place value of 0 in 5708 is 0 because 0 lies at tens place.

Using 7, 0 and 5, the smallest 3-digit number is 507.

75 is nearest to 80. Therefore, rounding off 475 to the nearest ten will be 480.

810 is the greatest 3-digit number using 8, 0 and 1.

From the options, we get that 794 is the nearest to 800 when we round off 794 to the nearest 100.

7850 is nearest to 8000 than 7000. Thus, the answer is option (3).

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, D is the roman numeral for 500.

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, M is the roman numeral for 1000.

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, C is the roman numeral for 100.

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, L <span style="font-family:" arial;="" font-size:="" small;="">is the roman numeral for 50.

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, I<span style="font-family:" arial;="" font-size:="" small;=""> is the roman numeral for 1. 

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, roman numeral for 5 is V according to the roman series.

Roman numeral series: MDCCCLXXXVIII
= 1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1
Thus, X is the roman numeral for 10.

In roman number series:
X = 50
L = 10
Therefore, XL denotes 50 - 10 = 40

The roman number series: MCMXCIX
= M C M X C I X
= 1000 + (1000 - 100) + (100 -10) + (10 - 1) = 1999
Therefore, XC = (100 - 10) = 90

In roman number series: 
L = 50
X = 10
So, LX = (50 + 10)
            = 60

In roman number series: 
C = 100
X = 10
So, CX = (100 + 10)
            = 110

IXX is not correct in roman numerals because it doesn't denote any number.

46000 is nearest to 45634 than other options.
So, 46000 is the answer.

XXX denotes 10 + 10 + 10 = 30 (Because X = 10 in roman number series)

6499 is the greatest number when rounded off to the nearest 1000 gives 6000.

In the roman number series:
                        XL = 40
                        IX = 9
Thus, X LIX denotes 49.

5,500 is the smallest number when rounded off to the nearest thousand gives 6000.