SOLUTION: Math Add the following numbers that are in Base 7. Hint: Remember that the digit "7" does not exist in base 7! 35462(7) + 20514(7)

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Question 1194348: Math
Add the following numbers that are in Base 7. Hint: Remember that the digit "7" does not exist in base 7!
35462(7) + 20514(7)
Found 3 solutions by Theo, Edwin McCravy, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the calculation is:
35462 to the base 7 plus 20514 to the base 7.
solution is 56306 to the base 7.
here's a calculator you can use to check your answer.
https://www.rapidtables.com/convert/number/base-converter.html?x=20514&sel1=7&sel2=10
you can convert both numbers to base 10, add them and then convert the answer to base 7 using this calculator.
if you want to add them directly, then do the following:
numbers to add are 35462 + 20514.
work from the lowest order digit to the highest order digit.
2 + 4 = 6
6 + 7 = 7 = 0 and carry 1 to the next highest order digit.
4 + 5 = 9 + carry of 1 = 10 - 7 = 3 and carry 1 to the next highest order digit.
5 + 0 = 5 + carry of 1 = 6
3 + 2 = 5
answer is 56306 to the base 7.
if you used the base conversion calculator, you would have gotten;
35462 to the base 7 = 9158 to the base 10
20514 to the base 7 = 5058 to the base 10
9158 + 5058 = 14216 to the base 10
14216 to the base 10 = 56306 to the base 7
let me know if you have any questions.
theo
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Instead of using the calculator, just count on your fingers.
But when you get to 6, the next number is 10.  And when you
get to 16, the next number is 20, and so on.

 35462
+20514

2+4=6, so put down 6.  Nothing to carry.

 35462
+20514
     6

6+1=10, because the next number after 6 is 10, so put down 0
and carry 1

   1
 35462
+20514
    06

1+4+5, count on your fingers and when you get to 6, the next number
is 10. So starting with the 1, you say 1, then for the 4 you count
2,3,4,5, then with the 5 you count 6,10,11,12,13.  So put down 3 and
carry the 1.

  11
 35462
+20514
   306

1+5+0. That's easy, just 6.  Nothing to carry.

  11
 35462
+20514
  6306

3+2=5.  That's also easy.

  11
 35462
+20514
 56306

Edwin
Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
.

Learn from these sources


http://mathcenter.oxford.emory.edu/site/cs170/bases/         (textual description)

https://www.youtube.com/watch?v=yDh1_pLrbJY                    (video lesson)


with very detailed explanations.



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