The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:

  1. 14 × 102
  2. 138 × 101
  3. 1382
  4. 1382.5

Answer (Detailed Solution Below)

Option 1 : 14 × 102
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Detailed Solution

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Concept: significant digits are used in this question.

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits. These huge amounts give the numbers accuracy. Additionally, they are known as significant digits.

Calculation:

Given: Length of rectangular field = 55.3 m , breadth of rectangular field = 25 m 

Area of rectangular field =?

Area of rectangular field = length× breadth = 55.3× 25 = 1382.5 = 13.8 × 102 m2 

Area of rectangular field = 14 × 102 m2  resultant should have 2 significant digits. 

Hence option 1) is correct.

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