Create a multiplication problem whose answer is 8 x 10^13. Both factors must be in scientific notation.
4E-2 * 2E15 = ?
Thank you so much Scott!
To create a multiplication problem with an answer of 8 x 10^13, we need to find two factors in scientific notation that will result in this product.
The general format for expressing a number in scientific notation is a x 10^n, where "a" is a number between 1 and 10 (excluding 10) and "n" is an integer that represents the power of 10.
Let's assume one of the factors is a x 10^m and the other factor is b x 10^n, where "a" and "b" are numbers between 1 and 10 (excluding 10), and "m" and "n" are integers.
The product of these two factors can be expressed as:
(a x 10^m) x (b x 10^n) = (a x b) x 10^(m + n).
In this case, we want the product to be 8 x 10^13. We can determine the values of "a" and "b" by factoring 8, and the values of "m" and "n" based on the resulting power of 10.
Now, let's assume the factor a x 10^m is 2 x 10^3, and the factor b x 10^n is 4 x 10^10.
The product of these two factors would be:
(2 x 10^3) x (4 x 10^10) = 8 x 10^(3 + 10) = 8 x 10^13.
Therefore, the multiplication problem with an answer of 8 x 10^13 in scientific notation is (2 x 10^3) x (4 x 10^10).