Question
Write the numeral in base ten 555six
Answers
MathMate
I'll write it in expanded form for base 6 and you can take it from there.
555<sub>6</sub>
=5*6<sup>2</sup> + 5*6<sup>1</sup> + 5*6<sup>0</sup>
555<sub>6</sub>
=5*6<sup>2</sup> + 5*6<sup>1</sup> + 5*6<sup>0</sup>
Reiny
555<sub>6</sub> = 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 รท 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.
= 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 รท 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.
MathMate
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 5<sup>2</sup>. Forget about the dime (10 cents) for this purpose.
So 244<sub>5</sub> is simply the value of 2 quarters, 4 nickels and 4 pennies = 74<sub>10</sub>.
Conversely, 108<sub>10</sub> would be 4 quarters, 1 nickel and 3 pennies, making 413<sub>5</sub>.
Have fun!
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 5<sup>2</sup>. Forget about the dime (10 cents) for this purpose.
So 244<sub>5</sub> is simply the value of 2 quarters, 4 nickels and 4 pennies = 74<sub>10</sub>.
Conversely, 108<sub>10</sub> would be 4 quarters, 1 nickel and 3 pennies, making 413<sub>5</sub>.
Have fun!
AONDOYILA
Evaluate 555 in base 5 mutiply 25 in base 5