When a number is divided by 10, and it leaves 8 as the remainder, it means the number can be represented as:
\[ 10q + 8 \]
Where \( q \) is the quotient.
To find the remainder when the same number is divided by 5, we can use the same concept. We know that when a number is divided by 10, the remainder is 8. This means the number is 2 more than a multiple of 10.
So, the number can be written as:
\[ 10q + 8 = 10q + (2 \times 4) \]
Now, when this number is divided by 5, we look for a number that is 2 more than a multiple of 5, since 10 is double of 5.
\[ 5 \times (2q + 1) + 2 \]
When we divide this expression by 5, the remainder will be 2.
Therefore, the correct answer is:
A. 2
