When dividing 100.0 by 4.00, what is the correct answer considering significant figures?
Practice Questions
1 question
Q1
When dividing 100.0 by 4.00, what is the correct answer considering significant figures?
25.0
25
25.00
24.99
In division, the result should have the same number of significant figures as the quantity with the least significant figures. 100.0 has 4 significant figures and 4.00 has 3 significant figures, so the result should have 3 significant figures: 25.0.
Questions & Step-by-step Solutions
1 item
Q
Q: When dividing 100.0 by 4.00, what is the correct answer considering significant figures?
Solution: In division, the result should have the same number of significant figures as the quantity with the least significant figures. 100.0 has 4 significant figures and 4.00 has 3 significant figures, so the result should have 3 significant figures: 25.0.
Steps: 8
Step 1: Identify the numbers you are dividing: 100.0 and 4.00.
Step 2: Count the significant figures in each number.
Step 3: 100.0 has 4 significant figures (the decimal point shows that the zero is significant).
Step 4: 4.00 has 3 significant figures (the two zeros after the decimal point are significant).
Step 5: Determine which number has the least significant figures. Here, 4.00 has the least with 3 significant figures.
Step 6: Perform the division: 100.0 divided by 4.00 equals 25.0.
Step 7: Adjust the result to have the same number of significant figures as the number with the least significant figures (3 significant figures).
Step 8: The final answer is 25.0, which has 3 significant figures.
