Question

The length and breadth of a metal sheet are 2.214 m and 2.002 m respectively. The area of this sheet up to four correct significant figures is (a) 4.43 m? (c) 4.4324 m2 (b) 4.432 m? (d) 4.432428 m?​

Answer 1

Explanation:

Area = length × breath

= 2.214 × 2.002

= 4.432428

In the above question it is said up to four significant figures

so, 4.432

I hope it may help you

Answer 2

Answer:

The correct answer is Option B: $4.432m$

Explanation:

Given that:

The Length of the metal sheet $=2.214m$

The breadth of the metal sheet $=2.002m$

We know that the formula for the area of a rectangular sheet is :

Area $=$ length * breadth

Area $=2.214*2.002$

$=4.43242m$

Considering the significant figures, the area $=4.432m$

Significant figures:

Significant figures are the number of digits which add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for significant figures:

1. Every integer that is not zero is significant.
2. Two non-zero digits separated by a zero are significant.
3. Leading zeros aren't significant.
4. Right after the decimal, trailing zeros are significant.
5. Trailing zeros of a whole number with a decimal representation are significant.