11. What is the product of 7.67 x 109 and 5.9 x 10−6 expressed in scientific

notation?
S. 1.3 x 103
T. 4.5253 x 103
U. 4.5253 x 104

1 answer

The product of 7.67 x 109 and 5.9 x 10−6 can be calculated by multiplying the numbers without their exponent and then combining the exponents.

7.67 x 109 * 5.9 x 10−6 = (7.67 * 5.9) x (109 * 10−6) = 45.353 x 10^3

The value 45.353 can be expressed as 4.5353 x 10^1.

Combining this with the original exponent 10^3, we get:
4.5353 x 10^1 x 10^3 = 4.5353 x 10^(1+3) = 4.5353 x 10^4

Therefore, the product 7.67 x 109 and 5.9 x 10−6 expressed in scientific notation is option U. 4.5253 x 10^4.