What is the result of multiplying 2.5 by 3.456, considering significant figures?
Practice Questions
1 question
Q1
What is the result of multiplying 2.5 by 3.456, considering significant figures?
8.64
8.6
8.65
8.7
2.5 has 2 significant figures and 3.456 has 4 significant figures. The result should be rounded to 2 significant figures, giving 8.6.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the result of multiplying 2.5 by 3.456, considering significant figures?
Solution: 2.5 has 2 significant figures and 3.456 has 4 significant figures. The result should be rounded to 2 significant figures, giving 8.6.
Steps: 5
Step 1: Identify the numbers to multiply: 2.5 and 3.456.
Step 2: Count the significant figures in each number. 2.5 has 2 significant figures, and 3.456 has 4 significant figures.
Step 3: Multiply the two numbers: 2.5 * 3.456 = 8.64.
Step 4: Determine the number of significant figures to use in the final answer. The result should have the same number of significant figures as the number with the least significant figures, which is 2 (from 2.5).
Step 5: Round 8.64 to 2 significant figures. This gives us 8.6.
