Add (9.3x10^3) + (9.3x10^4) + (0.011x10^6) using correct significant figures?
Thank You!
you have two sig figs
9.3*10^3 = .93*10^4
.011*10^6 = 1.1*10^4
.93+9.3+1.1 = 11.43, so 11*10^4
To add these numbers while considering significant figures, we follow a few steps:
Step 1: Convert scientific notation. Rewrite each number without scientific notation:
- (9.3x10^3) = 9300
- (9.3x10^4) = 93000
- (0.011x10^6) = 11000
Step 2: Add the numbers without considering significant figures:
9300 + 93000 + 11000 = 113300
Step 3: Determine the least number of significant figures among the original numbers:
- 9300 has 2 significant figures
- 93000 has 3 significant figures
- 11000 has only 2 significant figures
Therefore, the least number of significant figures among the original numbers is 2.
Step 4: Round the final sum to the least number of significant figures (2 significant figures):
113300 rounded to 2 significant figures = 1.1x10^5
So, (9.3x10^3) + (9.3x10^4) + (0.011x10^6) with correct significant figures is approximately 1.1x10^5.