Question

round off the answer using significant figures (2.2222 x 10^3 mm)(2.00 x 10^3 mm) = what is the final answer? 4.44 x 10^6 mm^2 4.4444 x 10^6 mm^2 4.4 x 10^9 mm^2 4.44 x 10^6 mm

Explanation:

Step1: Multiply the coefficients

Multiply 2.2222 and 2.00: $2.2222\times2.00 = 4.4444$.

Step2: Multiply the powers of 10

Using the rule $a^m\times a^n=a^{m + n}$, we have $10^{3}\times10^{3}=10^{3 + 3}=10^{6}$.

Step3: Combine the results

The product is $4.4444\times10^{6}\text{ mm}^2$.

Step4: Apply significant - figure rules

The number 2.00 has three significant figures. When multiplying, the result should be rounded to three significant figures. So, $4.4444\times10^{6}\text{ mm}^2$ rounds to $4.44\times10^{6}\text{ mm}^2$.

Answer:

$4.44\times10^{6}\text{ mm}^2$