What is the greatest number that will produce 1220 when rounded off to the nearest tens?

no such number

1219 rounded to the nearest tens is 1220
1219.26147 rounded to the nearest tens is 1220
1219.99 and 1219.999 and 1219.999 are successively getting larger but all equal 1220 rounded to the nearest tens
Can you see my point?

Judging from the context, I'd say they're looking for integers. Rounding to the nearest tens, we have

1215 - 1224, which all round to 1220 as the nearest ten.

There are different ways to round when the next significant digit is 5, so follow the rules you have been given there.

To find the greatest number that will produce 1220 when rounded off to the nearest tens, we can follow these steps:

1. Determine the tens digit of the number.
- Since we want to round off to the nearest tens, we need to find a number whose units digit is zero. Therefore, the tens digit will remain the same after rounding off.

2. Set the units digit to zero.
- To obtain a number whose units digit is zero, we need to replace the original units digit with zero.

3. Increase the tens digit by 1.
- To round off to the nearest tens, we need to increase the value of the tens digit by 1 if the original number's units digit is 5 or greater. This will ensure that after rounding, the resulting number is higher than or equal to the original number.

Now let's apply these steps to find the greatest number that will produce 1220 when rounded off to the nearest tens:

1. The original number is 1220, so the tens digit is 2.
2. Replace the units digit with zero, giving us 120.
3. Since the original number's units digit is 5 or greater (it is 0 in this case), we increase the tens digit by 1. Thus, the greatest number that will produce 1220 when rounded off to the nearest tens is 1300.

Therefore, the answer is 1300.