In the expression 0.00450 + 0.0034, how many significant figures should the resu

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Question: In the expression 0.00450 + 0.0034, how many significant figures should the result have?

Options:

Correct Answer: 4

Solution:

The result should have 3 significant figures, as 0.0034 has the least precision.

In the expression 0.00450 + 0.0034, how many significant figures should the result have?

In the expression 0.00450 + 0.0034, how many significant figures should the result have?

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.

Significant Figures – Significant figures are the digits in a number that contribute to its precision, including all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.
Precision in Addition – When adding numbers, the result should be reported with the same number of decimal places as the measurement with the least number of decimal places.