If a number is divided by 13, the remainder is 3. If 6 times of that number is divided by 13, then what is the remainder?
Please do not use algebra.
31-35, M
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nerdynerd · 61-69, M
Imagine a large number of chips on a table. If we make stacks of size 13, we get a certain number of stacks with 3 chips remaining.
If we have 6 times as many chips to begin with, we get 6 times as many stacks of 13, and then 6 piles of 3, or a total of 18 chips not included in the stacks. We can stack up 13 of those, and we have 5 chips left over. So the remainder is 5.
No algebra!
If we have 6 times as many chips to begin with, we get 6 times as many stacks of 13, and then 6 piles of 3, or a total of 18 chips not included in the stacks. We can stack up 13 of those, and we have 5 chips left over. So the remainder is 5.
No algebra!
