Estimate a 15% tip on a dinner bill of $41.86 by first rounding the bill amount to the nearest ten dollars.

To round the bill amount to the nearest ten dollars, we would look at the digit in the tens place. In this case, the digit in the tens place is 4. Since 4 is less than 5, we round down to the nearest ten dollars, which is 40.

Now, we need to find a 15% tip on a dinner bill of $40. To do this, we can multiply $40 by 0.15 (or we can convert 15% to a decimal by dividing it by 100, which gives us 0.15).

$40 * 0.15 = $6

Therefore, a 15% tip on a dinner bill of $41.86, after rounding to the nearest ten dollars, would be approximately $6.