What is the product of (7.28 × 10-2) • (9.1 × 10-2)?
A. 6.6248 × 10-3
B. 66.248 × 10-4
C. 6.6248 × 104
D. 66.248 × 10-3
This question is No Clickbait, I need your help ;-;
Wait I typed the question wrong, I meant:
(7.28 × 10^-2) • (9.1 × 10^-2)
728 * 910 = 662,480 = 66.248 * 10^4
To find the product of two numbers expressed in scientific notation, you multiply the two sets of coefficients and add the exponents of the powers of 10.
In this case, we have:
(7.28 × 10^(-2)) • (9.1 × 10^(-2))
To multiply the coefficients, we have:
7.28 × 9.1 = 66.248
To add the exponents, we have:
10^(-2) • 10^(-2) = 10^(-2+(-2)) = 10^-4
Putting it all together, the product is:
66.248 × 10^(-4)
Now, in scientific notation, we want the coefficient to be between 1 and 10, so we can convert 66.248 to scientific notation by moving the decimal point one place to the left, resulting in 6.6248.
The final answer is:
6.6248 × 10^(-4)
Therefore, option B. 66.248 × 10^(-4) is the correct answer.