Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Measurement is the comparison of an unknown quantity with some known quantity of the same kind. This known fixed quantity is called a unit.
For the sake of uniformity, scientists all over the world have accepted a set of standard units of measurement. The system of units now used is known as the International System of Units (SI units).
The SI unit of length is the metre (). For measuring large distances, we use kilometres (), and for smaller lengths, we use centimetres () or millimetres ().
To measure the length of an object, the scale must be placed in contact with the object along its length.
If the zero mark of a scale is broken or not clear, we should use any other full mark of the scale, say . Then, subtract the reading of this mark from the reading at the other end.
Correct position of the eye: Your eye must be exactly in front of the point where the measurement is to be taken. Looking from an angle leads to errors called parallax errors.
The length of a curved line cannot be measured directly using a metre scale. We use a thread to measure the length of a curved line and then measure the thread length on a scale.
📐Formulae
💡Examples
Problem 1:
While measuring the length of a knitting needle, the reading of the scale at one end is and at the other end it is . What is the length of the needle?
Solution:
Length of the needle = Final Reading Initial Reading = .
Explanation:
Since the measurement did not start from , we subtract the starting mark from the final mark to find the actual length:
Problem 2:
The distance between Radha's home and her school is . Express this distance in .
Solution:
Distance = .
Explanation:
To convert metres to kilometres, we divide by because .