Question

Using scientific notation, what is the solution to (2.82 * 104) * (3.1 * 103)?


8.742 * 107


8.742 * 106


87.42 * 107


8.742 * 101

Answer 1

Answer: Choice A) 8.742 * 10^7

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Work Shown:

$(a * 10^b) \times (c * 10^d) = a*c*10^{b+d}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 2.82*3.1*10^{4+3}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 8.742*10^{7}$

Extra info:

$8.742 * 10^7 = 87,420,000$

which is a little over 87.4 million