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In the expression 0.00450 + 0.0034, how many significant figures should the resu
In the expression 0.00450 + 0.0034, how many significant figures should the result have?
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Q1
In the expression 0.00450 + 0.0034, how many significant figures should the result have?
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The result should have 3 significant figures, as 0.0034 has the least precision.
Questions & Step-by-step Solutions
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Q: In the expression 0.00450 + 0.0034, how many significant figures should the result have?
Solution:
The result should have 3 significant figures, as 0.0034 has the least precision.
Steps: 8
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Step 1: Identify the numbers in the expression: 0.00450 and 0.0034.
Step 2: Count the significant figures in each number.
Step 3: For 0.00450, the significant figures are 4 (the digits 4, 5, and the trailing 0).
Step 4: For 0.0034, the significant figures are 2 (the digits 3 and 4).
Step 5: Determine which number has the least significant figures. Here, 0.0034 has 2 significant figures.
Step 6: When adding numbers, the result should have the same number of decimal places as the number with the least precision.
Step 7: Since 0.0034 has the least precision, the result should be rounded to 2 decimal places.
Step 8: Therefore, the final result should be reported with 3 significant figures.
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