When dividing 6.022 x 10^23 by 2.0, how many significant figures should the answer have?
Practice Questions
1 question
Q1
When dividing 6.022 x 10^23 by 2.0, how many significant figures should the answer have?
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In division, the result should have the same number of significant figures as the factor with the least significant figures. 6.022 x 10^23 has 4 significant figures and 2.0 has 2 significant figures, so the answer should have 2 significant figures.
Questions & Step-by-step Solutions
1 item
Q
Q: When dividing 6.022 x 10^23 by 2.0, how many significant figures should the answer have?
Solution: In division, the result should have the same number of significant figures as the factor with the least significant figures. 6.022 x 10^23 has 4 significant figures and 2.0 has 2 significant figures, so the answer should have 2 significant figures.
Steps: 6
Step 1: Identify the numbers involved in the division: 6.022 x 10^23 and 2.0.
Step 2: Determine the number of significant figures in each number.
Step 3: For 6.022 x 10^23, count the significant figures: it has 4 significant figures.
Step 4: For 2.0, count the significant figures: it has 2 significant figures.
Step 5: Identify which number has the least significant figures. Here, 2.0 has the least with 2 significant figures.
Step 6: Conclude that the result of the division should have the same number of significant figures as the number with the least, which is 2.
