Find each product. Write the answer in scientific notation . (3 x 10^4) (5 x 10^3)
*
15 x 10^8
1.5 x 10^8
15 x 10^7
1.5 x 10^-8
(3 x 10^4) (5 x 10^3) = 15 x 10^7
Explanation:
To find the product of two numbers in scientific notation, you can simply multiply the two coefficients (numbers in front of the 10) together and add the exponents.
For example, in this problem:
(3 x 10^4) (5 x 10^3) = (3 x 5) x (10^4 x 10^3) = 15 x 10^7
Note that when you multiply numbers in scientific notation, you might need to adjust the exponent so that only one number has a coefficient between 1 and 10. In this case, both numbers are already in that form, so we don't need to make any adjustments.
The other options given are not correct products of the given factors.
To find the product of (3 x 10^4) and (5 x 10^3), you need to multiply the numbers together and add the exponents of 10.
3 x 5 = 15
10^4 x 10^3 = 10^(4+3) = 10^7
So the answer is 15 x 10^7.