What is the result of dividing 8.0 by 2.00, considering significant figures?
Practice Questions
1 question
Q1
What is the result of dividing 8.0 by 2.00, considering significant figures?
4.0
4
4.00
4.000
In division, the result should have the same number of significant figures as the measurement with the least significant figures. 8.0 has 2 significant figures and 2.00 has 3 significant figures, so the answer should be 4.0 (2 significant figures).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the result of dividing 8.0 by 2.00, considering significant figures?
Solution: In division, the result should have the same number of significant figures as the measurement with the least significant figures. 8.0 has 2 significant figures and 2.00 has 3 significant figures, so the answer should be 4.0 (2 significant figures).
Steps: 8
Step 1: Identify the numbers you are dividing. Here, we have 8.0 and 2.00.
Step 2: Determine the number of significant figures in each number.
Step 3: 8.0 has 2 significant figures (the '8' and the '0' after the decimal).
Step 4: 2.00 has 3 significant figures (the '2' and the two '0's after the decimal).
Step 5: In division, the result should have the same number of significant figures as the number with the least significant figures.
Step 6: Since 8.0 has 2 significant figures, and 2.00 has 3 significant figures, we will use 2 significant figures for our final answer.
Step 7: Perform the division: 8.0 divided by 2.00 equals 4.0.
Step 8: Round the answer to 2 significant figures, which gives us 4.0.
