are these correct when solving for proper significant figures
2.33 + 4.0045=6.33
.000456 + 1.0023=1.0027
2.33/4.0045=.582
http://www.cartage.org.lb/en/themes/Sciences/Chemistry/Miscellenous/Helpfile/Units/AdditionSubtraction.htm
I think 1 and 3 are ok.
I would have added #2 to give
1.00276, then rounded that to 1.0028. See the site above.
To determine if the significant figures in a calculation are correct, we need to consider the rules for significant figures.
1. Addition and Subtraction: The result should have the same number of decimal places as the number with the least decimal places in the calculation.
In the first calculation:
2.33 + 4.0045 = 6.3345
Since 2.33 has two decimal places and 4.0045 has four decimal places, we keep the two decimal places in the result.
The correct answer would be 6.33, not 6.3345.
In the second calculation:
0.000456 + 1.0023 = 1.002756
Since 0.000456 has three decimal places and 1.0023 has four decimal places, we keep the three decimal places in the result.
The correct answer would be 1.002, not 1.002756.
2. Multiplication and Division: The result should have the same number of significant figures as the number with the fewest significant figures in the calculation.
In the third calculation:
2.33 / 4.0045 = 0.582955027
Since 2.33 has three significant figures and 4.0045 has five significant figures, we keep three significant figures in the result.
The correct answer would be 0.582, not 0.582955027.
So, the correct answers with the proper significant figures would be:
2.33 + 4.0045 = 6.33
0.000456 + 1.0023 = 1.002
2.33 / 4.0045 = 0.582