Question

Express the following statement using absolute-value notation. In a science experiment, the measurement of a distance d is 72.4m and is accurate to +-36cm.

Answer 1

The statement can be expressed using absolute-value notation as |d - 72.4| ≤ 0.36. This notation represents the maximum allowable deviation from the measured distance of 72.4m with an accuracy of ±36cm.

Step-by-step explanation:

The statement can be expressed using absolute-value notation as follows: |d - 72.4| ≤ 0.36.

Here, 'd' represents the actual distance measured in the science experiment, and 72.4 is the measured distance with an accuracy of ±36 cm. By subtracting 72.4 from 'd' and taking the absolute value, we can determine the maximum allowable deviation from the measured value.

For example, if the measured distance is exactly 72.4 m, then |d - 72.4| would be equal to zero, meaning the measurement is accurate. If the measured distance is slightly above or below 72.4 m, we can determine whether it falls within the range of ±0.36 meters, ensuring the measurement remains accurate.