Perform the operation. Give answer in scientific notation. $\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)$
A) $10.15 \times 10 ^ { 8 }$
B) $1.015 \times 10 ^ { 10 }$
C) $1.015 \times 10 ^ { 9 }$
D) $1.015 \times 10 ^ { 8 }$

Question

Quizplus · Accepted Answer

To multiply numbers in scientific notation, we multiply their coefficients and add their exponents. 
$$\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right) = (3.5 \times 2.9) \times 10 ^ {6+2} = 10.15 \times 10 ^ {8} = 1.015 \times 10 ^ {9}$$
Therefore, the best choice is C.

Perform the Operation (3.5×106)(2.9×102)\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)(3.5×106)(2.9×102)

Perform the Operation $\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)$