A number 𝑞, when rounded to 2 decimal places, is equal to 8.37Find the upper and lower bound of 𝑞.
Question
A number 𝑞, when rounded to 2 decimal places, is equal to 8.37
Find the upper and lower bound of 𝑞.
Solution
When a number is rounded to two decimal places, the actual number could be up to 0.005 higher or lower than the rounded number. This is because anything less than 0.005 is rounded down, and anything 0.005 or more is rounded up.
So, for the number 𝑞 = 8.37:
- The lower bound of 𝑞 would be 8.37 - 0.005 = 8.365.
- The upper bound of 𝑞 would be 8.37 + 0.005 = 8.375.
Therefore, the number 𝑞 could be any number between 8.365 and 8.375.
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