To determine the largest possible amount of tins in a box given that it contains 40 tins of beans rounded to the nearest 10, we need to understand how rounding to the nearest 10 works.
When a number is rounded to the nearest 10, it can be any number that would round to the target value. In this case, the target rounded value is 40.
Here are the steps to find the largest possible amount:
1. Understanding Nearest 10 Rounding:
- When a number is rounded to the nearest 10, any number within 5 below and 5 above this multiple of 10 will round to it.
- For the number 40, this includes any number from 35 up to (but not including) 45.
2. Finding the Largest Possible Number:
- To find the largest possible amount, we look at the higher end of this range. The highest value that would still round to 40 is just under 45.
- The highest integer value within this range is 44, because any integer from 45 or above would round to 50 instead of 40 when rounded to the nearest 10.
Thus, the largest possible amount of tins in the box, while still rounding to 40, is 44 tins.
