#### Answer

From $123.5\text{ cm}$ to $124.5\text{ cm}$

#### Work Step by Step

The measurement is given to the nearest centimeter, so the error is $\pm\text{ 0.5 cm}$. Therefore, to find the range of values that the measurement represents, we must both subtract and add $0.5$ to the given value. $$124+0.5=124.5$$$$124-0.5=123.5$$ Therefore the range of values is from $123.5\text{ cm}$ to $124.5\text{ cm}$