A number leaves reminder 6 when divided by 10. What is the remainder when the number is divided by 5? Justify your reasoning.
The last digit of the number must be 6 to have a remainder of 6.
Examples:
16/10 = 1 r. 6
26/10 = 2 r. 6
What is the remainder if you divide 16 and 26 by 5?
To find the remainder when a number is divided by 5, we need to understand the relationship between the remainder when divided by 10 and the remainder when divided by 5.
When dividing a number by 10, the remainder can be any number from 0 to 9. In this case, we know that the number leaves a remainder of 6 when divided by 10.
Now, let's think about the possibilities for the remainder when dividing by 5. Since 5 is a divisor of 10, any number that leaves a remainder of 6 when divided by 10 will leave the same remainder when divided by 5.
Therefore, the remainder when the number is divided by 5 is 6.