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

Practice Questions

Q1
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?
  1. 148 cm to 152 cm
  2. 149 cm to 151 cm
  3. 150 cm to 152 cm
  4. 150 cm to 154 cm

Questions & Step-by-Step Solutions

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.
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