The area of rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:
- 138 x 101
- 1382
- 1382.5
- 14 x 102
The Correct Option is D
Solution and Explanation
To solve the problem of finding the area of the rectangular field and rounding it to the correct number of significant figures, follow these steps:
1. Calculate the area using the formula for the area of a rectangle:
Area = Length × Breadth
2. Given:
Length = 55.3 m (3 significant figures), Breadth = 25 m (2 significant figures)
3. Calculate the area:
Area = 55.3 m × 25 m = 1382.5 m2
4. The result should be rounded to the least number of significant figures in the given dimensions, which is 2.
5. Rounding 1382.5 to 2 significant figures, we get 1400 m2, which can be expressed in scientific notation as 1.4 × 103.
6. To match the options presented, this is equivalent to 14 × 102.
Therefore, the correct answer is: 14 × 102
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Concepts Used:
Units and Measurement
Unit:
A unit of a physical quantity is an arbitrarily chosen standard that is broadly acknowledged by the society and in terms of which other quantities of similar nature may be measured.
Measurement:
The process of measurement is basically a comparison process. To measure a physical quantity, we have to find out how many times a standard amount of that physical quantity is present in the quantity being measured. The number thus obtained is known as the magnitude and the standard chosen is called the unit of the physical quantity.
Read More: Fundamental and Derived Units of Measurement
System of Units:
- CGS system
- FPS system
- MKS system
- SI units
Types of Units:
Fundamental Units -
The units defined for the fundamental quantities are called fundamental units.
Derived Units -
The units of all other physical quantities which are derived from the fundamental units are called the derived units.