If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how

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Question: If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the result have?

Options:

Correct Answer: 2

Solution:

The result should have 2 significant figures, as the least number of significant figures in the factors is 2.

If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the result have?

If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the result have?

Step 1: Identify the number of significant figures in each number.
Step 2: Count the significant figures in 2.5. It has 2 significant figures.
Step 3: Count the significant figures in 3.42. It has 3 significant figures.
Step 4: Determine which number has the least significant figures. Here, 2.5 has the least with 2 significant figures.
Step 5: When multiplying numbers, the result should have the same number of significant figures as the factor with the least significant figures.
Step 6: Therefore, the result of multiplying 2.5 by 3.42 should have 2 significant figures.

Significant Figures – Understanding how to determine the number of significant figures in a product based on the factors involved.
Multiplication Rules for Significant Figures – Applying the rule that the result of a multiplication should have the same number of significant figures as the factor with the least significant figures.