Question

2.
Complete the equation, by supplying the missing exponent.

A virus has a volume of approximately 4.7 x 10−14 cubic centimeters. Calculate the estimated volume of 4.1 x 1016 viruses.


1.927 ×102


19.27 ×1031


1.927 ×103


1.927 ×1031

Answer 1

To calculate the estimated volume of 4.1 x 10^16 viruses, given that each virus has a volume of 4.7 x 10^-14 cubic centimeters, you need to multiply the number of viruses by the volume of each virus.

So, we perform the multiplication:
\[ \text{Estimated volume} = (4.1 \times 10^{16}) \times (4.7 \times 10^{-14}) \]

When multiplying two numbers in scientific notation, you multiply their coefficients and add their exponents:
\[ 4.1 \times 4.7 = 19.27 \]
\[ 10^{16} \times 10^{-14} = 10^{(16 + (-14))} = 10^{2} \]

Putting it all together:
\[ 19.27 \times 10^{2} \]

So, the estimated volume is:
\[ 19.27 \times 10^{2} \]

Among the provided options, the correct one is:
\[ 1.927 \times 10^{3} \]

Thus, the correct answer is:

\[ 1.927 \times 10^{3} \]