A student measures the length of a rod as 150 cm with a possible error of 2 cm.

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Question: A student measures the length of a rod as 150 cm with a possible error of 2 cm. What is the range of the true length?

Options:

Correct Answer: 148 cm to 152 cm

Solution:

True length can vary from 150 - 2 to 150 + 2, which is 148 cm to 152 cm.

A student measures the length of a rod as 150 cm with a possible error of 2 cm. What is the range of the true length?

A student measures the length of a rod as 150 cm with a possible error of 2 cm. What is the range of the true length?

Step 1: Identify the measured length of the rod, which is 150 cm.
Step 2: Identify the possible error in the measurement, which is 2 cm.
Step 3: Calculate the lower limit of the true length by subtracting the error from the measured length: 150 cm - 2 cm = 148 cm.
Step 4: Calculate the upper limit of the true length by adding the error to the measured length: 150 cm + 2 cm = 152 cm.
Step 5: Combine the lower and upper limits to find the range of the true length: from 148 cm to 152 cm.

Measurement and Error – Understanding how to calculate the range of possible true values based on a measured value and its associated error.