Add (9.3x10^3) + (9.3x10^4) + (0.011x10^6) using correct significant figures?
To add numbers with scientific notation and maintain the correct significant figures, we need to ensure that all the numbers have the same power of 10.
First, let's rewrite each number in scientific notation:
9.3x10^3 = 9.3 x 10^3
9.3x10^4 = 9.3 x 10^4
0.011x10^6 = 1.1 x 10^4
Now, we can add the numbers:
9.3 x 10^3 + 9.3 x 10^4 + 1.1 x 10^4
To add numbers in scientific notation, we need to have the same power of 10. In this case, both 9.3 x 10^3 and 9.3 x 10^4 have the same power of 10, so we can add the coefficients:
9.3 + 9.3 = 18.6
Now, we use the power of 10 with the same magnitude as the original numbers (10^3 or 10^4):
18.6 x 10^4
The result is 18.6 x 10^4.
To maintain the correct number of significant figures, we look at the original numbers. In this case, 9.3 and 0.011 both have two significant figures. Therefore, we should round the answer to two significant figures:
18.6 x 10^4 is rounded to 19 x 10^4.
So, the sum (9.3x10^3) + (9.3x10^4) + (0.011x10^6) using correct significant figures is approximately 19 x 10^4.