Question Type 3: Determining maximum and minimum values for a rounded number Exercises

The area of a field is recorded as $15.24 \text{ m}^2$, rounded to the nearest hundredth. Determine the maximum and minimum possible areas.

A water tank volume $V$ is rounded to two decimal places giving $V = 2.50$ litres. Find the range of possible volumes.

A voltage measurement $V = 12.6\,$V is rounded to the nearest $0.1\,$V. Find the maximum percentage error in this reading.

Two rods have lengths $x = 5.12\,\text{m}$ and $y = 3.48\,\text{m}$, both rounded to the nearest $0.01\,\text{m}$. Find the maximum and minimum possible values of their total length $T = x + y$.

Given that $x = 5.69$ is rounded to the nearest $0.01$, find the minimum and maximum possible values of $x$.

A mass, $m$, is measured as $0.056$ kg, rounded to the nearest thousandth. Find the minimum possible value, $m_{\min}$, and the maximum possible value, $m_{\max}$.

A container has volume $1.25\,\text{L}$, rounded to two decimal places. If this volume is poured equally into 5 identical bottles, what are the possible minimum and maximum volumes in each bottle?

A measurement $y$ is recorded as $12.345$ rounded to the nearest $0.001$. Determine the lower and upper bounds for the actual value of $y$.

Given a number $z$ rounded to the nearest whole number is $78$, determine the upper and lower bounds for $z$.

A length $a = 7.3\,$cm is rounded to the nearest tenth. Find the possible range of $a$.

The total cost of groceries is recorded as $31.40, rounded to the nearest $0.10. Find the bounds for the actual cost.