Write the numeral in base ten 555six
Evaluate 555 in base 5 mutiply 25 in base 5
I'll write it in expanded form for base 6 and you can take it from there.
5556
=5*62 + 5*61 + 5*60
5556 = 5x6^2 + 5x6 + 5
= 215
Editorial: This topic was the big craze back in the 60's after "Sputnik" caused a frenzy of "New Math" to be introduced, and kids had to learn how to do arithmetic in different bases.
Unfortunately, that left less time for learning ordinary arithmetic like 56 ÷ 12
Fortunately, clearer heads prevailed and such topics were dropped for more relevant math.
The above topic only makes sense in the study of computer science, and then only base 2, base 8 or base 16.
Sorry about the rant.
I'll join the party and give mine!
Those who use American and Canadian currencies would be advantaged to convert to and from base 5, since change in those currencies work in a good part in base 5.
The penny being 1, the nickel being 5, and the quarter being 25, or 52. Forget about the dime (10 cents) for this purpose.
So 2445 is simply the value of 2 quarters, 4 nickels and 4 pennies = 7410.
Conversely, 10810 would be 4 quarters, 1 nickel and 3 pennies, making 4135.
Have fun!
"555six" seems like a catchy name for a robot rock band! But if you are referring to a number, it would be written as 555 in base ten, or simply 555.
To write the numeral "555six" in base ten, we need to convert it from base six to base ten.
In base six, each digit represents a value multiplied by a power of six. The rightmost digit is multiplied by 6^0, the next digit by 6^1, the next digit by 6^2, and so on.
Let's break down "555six" to understand its value in base ten:
- The rightmost digit is 5, which is multiplied by 6^0 (which is 1), so it contributes 5 to the total.
- The next digit is also 5, which is multiplied by 6^1 (which is 6), so it contributes 30 (5 * 6) to the total.
- The leftmost digit is also 5, which is multiplied by 6^2 (which is 36), so it contributes 180 (5 * 36) to the total.
Now, we add up the contributions from each digit to find the base ten value:
5 + 30 + 180 = 215
Therefore, "555six" is equal to 215 in base ten.