Answer:
C. \(223.965\text{ m}^2\)
Step-by-step explanation:
We are asked to find the product of our given numbers: 0.405 m and 553 m.
Upon multiplying both numbers, we will get:
\(0.405\text{ m}\times 553\text{ m}\)
\(0.405\times 553\text{ m}^2\)
\(223.965\text{ m}^2\)
Now, we will use significant figures rule to give our final answer. The rules are:
- Any non-zero digits are significant. The zeros between two digits are always significant.
- Leading zeros (zeros before non-zero numbers) are not significant.
- Trailing zeros (zeros after non-zero numbers) are significant, if they are after decimal. If trialing zeros without decimal are not significant.
Since we have three non-zero digits after decimal, so these are significant digits.
Therefore, the product of our given numbers would be \(223.965\text{ m}^2\) and option C is the correct choice.
