This is what my paper said(or close enough)

Mike is measuring his baseball bat with a 1/8 inch ruler

What is the precison using this measurement using this ruler______(i answered 1/8 inch, is it correct?)

What is the greatest possible error?_________
(this is the hardest one for me)

Mike said that his baseball bat is about 20 1/2 inches
What are some other possible values of this measurement?_______

To determine the precision using a 1/8 inch ruler, you need to consider the smallest unit of measurement the ruler can provide. In this case, the smallest unit is 1/8 inch. So, your answer of 1/8 inch for the precision using this ruler is correct.

Now, let's move on to calculating the greatest possible error. The greatest possible error occurs when the measurement is rounded up or down to the nearest whole unit. Since Mike's measurement of the baseball bat is 20 1/2 inches, we need to consider the range of values that can result from rounding up or down.

Rounding down 20 1/2 to the nearest whole unit would give us 20 inches. So, the approximate lower bound of measurement using this ruler is 20 inches.

Rounding up 20 1/2 to the nearest whole unit would give us 21 inches. Therefore, the approximate upper bound of measurement using this ruler is 21 inches.

To calculate the greatest possible error, we take the difference between the upper bound and the lower bound. Therefore, the greatest possible error using this ruler would be 21 inches - 20 inches = 1 inch.

Finally, if Mike's measurement is about 20 1/2 inches, other possible values within the range could include 20 3/8 inches, 20 1/4 inches, 20 5/8 inches, or any value between 20 and 21 inches in 1/8 inch increments.