SOLUTION: Write the following Roman numeral using base-ten numeration system LXXII Write the following base-ten numeral using Roman numerals 602 Convert the following base-five numer

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Write the following Roman numeral using base-ten numeration system LXXII Write the following base-ten numeral using Roman numerals 602 Convert the following base-five numer      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1160703: Write the following Roman numeral using base-ten numeration system
LXXII
Write the following base-ten numeral using Roman numerals
602
Convert the following base-five numeral to base-ten
12five
Which digit has a place value oh thousands in the following
2,345,562

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the following Roman numeral using base-ten numeration system
LXXII = 72
Roman numerals are 100% useless.
Why are they still being used to harass students?
------
===================
Write the following base-ten numeral using Roman numerals
602
There is no reason to bother with Roman numerals.
======================
Convert the following base-five numeral to base-ten
12five
= 5 + 2 = 7
Base 5 is as useful as Roman numerals.
======================
Which digit has a place value oh thousands in the following
2,345,562
The 1000's digit.
==========================
A complaint from a dufus parent:
"Why should my son have to know Arabic numerals? We are in America."

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Problem 1

In Roman numerals, we have
L = 50
X = 10
I = 1 ... this says "upper case i is equal to one"

We start with L = 50 and add on X = 10 to get LX = L+X = 50+10 = 60. So LX = 60.

Then we add on another ten
LXX = LX+X = 60+10 = 70
LXX = 70

Finally we add on II to represent two
LXXII = LXX+II = 70+2 = 72
LXXII = 72

===========================================================
Problem 2

Here are some more Roman numerals to have on a reference sheet or memorize.
C = 100
D = 500

Writing DC means D+C = 500+100 = 600. The order matters because CD = 500-100 = 400. Think of it like how roman numeral IV means 5-1 = 4. If you list the smaller number first, then you subtract. Otherwise you add.

Therefore, DCII represents 602
DCII = D+C+I+I = 500+100+1+1 = 602.

Answer = DCII

Here is a useful tool to help check your answer
https://www.romannumerals.org/converter
This tool can be used for problem 1 as well.

===========================================================
Problem 3

When we write something in base 10, like the number 937, we are really saying 900+30+7. This further can be broken down or written as 9*100+3*10+7*1. At this point, we have the coefficients 9,3,7 multiplied with descending powers of 10 (hence the name base 10).

9*100+3*10+7*1 is the same as 9*10^2+3*10^1+7*10^0. The exponents over the 10s are counting down.

Here's another example of a base 10 number
58972 = 5*10,000 + 8*1,000 + 9*100 + 7*10 + 2*1
58972 = 5*10^4 + 8*10^3 + 9*10^2 + 7*10^1 + 2*10^0

Now with base 5, we just replace all those '10's with 5. Writing a number like 12 in base 5, we would say

12%5B5%5D+=+1%2A5%5E1+%2B+2%2A5%5E0

12%5B5%5D+=+1%2A5+%2B+2%2A1

12%5B5%5D+=+5+%2B+2

12%5B5%5D+=+7%5B10%5D
The subscripts represent which base we're working in.

Here's how you count in base 5. You start at 0, then add 1 like you normally would in base 10. Then bump up to 2, then 3, etc etc, until you reach 5. You can't actually get to 5 since it does not exist in base 5. So we have this so far
0,1,2,3,4

The next number would be 10
0,1,2,3,4,10
The number 10%5B5%5D is the same as 5 in base 10. It's a bit confusing considering how the numbers swap like that.

Then after 10, we continue to increase just like we normally do
0,1,2,3,4,10,11,12
We can see that the '12' is in the spot of where the 7 base 10 would go.


Answer = 7

Useful calculator to check your work
https://www.unitconverters.net/numbers/base-5-to-base-10.htm

===========================================================
Problem 4

I'm not sure what you mean by "place value oh thousands".

If you mean just simply "thousands place" or "one thousands place", then that would be 5. It might help to erase the numbers to the left of the 5 to see that 2,345,562 turns into 5,562. The first 5 is representing 5 thousand. More technically, it is 5 copies of one thousand added together.

If you want the ten-thousands place, then the answer is 4. Erase everything to the left of the 4 to go from 2,345,562 to 45,562. We see the number is over fourty thousand at this point.

If you want hundred-thousands place, then the answer is 3

Place value chart:

The values in the second row represent the digits from 2,345,562.