Upper and lower bounds
7.43 to 2 dp
Upper and lower bounds are like a fancy way of putting boundaries on numbers. It's like giving numbers passports and telling them, "Hey, you can't go beyond the limit!"
So, if you have the number 7.43 to 2 decimal places, the lower bound would be the smallest number that's close to it, while the upper bound would be the biggest number that's close to it.
For the lower bound, we need to look at the next possible number down, which would be 7.42. So, the lower bound would be 7.42.
And for the upper bound, we need to look at the next possible number up, which would be 7.44. So, the upper bound would be 7.44.
Therefore, the upper and lower bounds for the number 7.43 to 2 decimal places would be 7.42 and 7.44, respectively.
To find the upper and lower bounds for the number 7.43 to 2 decimal places, you need to consider the possible range of values that could round to 7.43.
For the lower bound, you take the number and subtract 0.005. So, the lower bound for 7.43 to 2 decimal places would be 7.43 - 0.005 = 7.425.
For the upper bound, you take the number and add 0.005. So, the upper bound for 7.43 to 2 decimal places would be 7.43 + 0.005 = 7.435.
Therefore, the upper bound is 7.435 and the lower bound is 7.425 for the number 7.43 to 2 decimal places.
To find the upper and lower bounds of a number to a given degree of precision, you can follow these steps:
1. Identify the number in question. In this case, the number is 7.43.
2. Determine the desired degree of precision, which is 2 decimal places (dp) in this case.
3. To find the upper bound, consider the digit at the next smallest place value to the desired degree of precision. In this case, it is the third decimal place. If the digit at the third decimal place is 5 or greater, round up the desired degree of precision (2 dp). In this case, the digit at the third decimal place is 3, which is less than 5. Therefore, there is no rounding up required. The upper bound is found by simply truncating or removing everything after the desired degree of precision. So the upper bound is 7.43.
4. To find the lower bound, consider the digit at the desired degree of precision. If the digit at the desired degree of precision is 5 or greater, round down the desired degree of precision. Otherwise, leave it as it is. In this case, the digit at the second decimal place is 4, which is less than 5. Therefore, there is no rounding down required. The lower bound is found by simply truncating or removing everything after the desired degree of precision. So the lower bound is 7.43.
Therefore, the upper and lower bounds for the number 7.43 to 2 decimal places are both 7.43.