Thank you for visiting Perform this calculation to the correct number of significant figures tex 78 222 times 12 02 11 52 tex A 39 B 39 1 C. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the problem and determine the correct answer with the appropriate number of significant figures, follow these steps:
1. Perform the Calculation Inside the Parentheses:
We start by calculating the expression inside the parentheses:
[tex]\[
12.02 - 11.52 = 0.50
\][/tex]
In this subtraction, both numbers (12.02 and 11.52) have two decimal places, resulting in the answer having two decimal places as well.
2. Multiply the Result by 78.222:
Next, multiply the result from step 1 by 78.222:
[tex]\[
78.222 \times 0.50 = 39.111
\][/tex]
3. Determine the Correct Number of Significant Figures:
In multiplication, the number of significant figures in the result is determined by the number in the calculation with the fewest significant figures. The numbers are:
- 78.222 has 5 significant figures.
- 0.50 has 2 significant figures.
Therefore, the result must be expressed with 2 significant figures.
4. Round the Result:
Round 39.111 to 2 significant figures:
[tex]\[
39.111 \approx 39
\][/tex]
5. Select the Correct Answer:
The correctly rounded result, based on significant figures, is 39. Therefore, the answer to the question is:
39
1. Perform the Calculation Inside the Parentheses:
We start by calculating the expression inside the parentheses:
[tex]\[
12.02 - 11.52 = 0.50
\][/tex]
In this subtraction, both numbers (12.02 and 11.52) have two decimal places, resulting in the answer having two decimal places as well.
2. Multiply the Result by 78.222:
Next, multiply the result from step 1 by 78.222:
[tex]\[
78.222 \times 0.50 = 39.111
\][/tex]
3. Determine the Correct Number of Significant Figures:
In multiplication, the number of significant figures in the result is determined by the number in the calculation with the fewest significant figures. The numbers are:
- 78.222 has 5 significant figures.
- 0.50 has 2 significant figures.
Therefore, the result must be expressed with 2 significant figures.
4. Round the Result:
Round 39.111 to 2 significant figures:
[tex]\[
39.111 \approx 39
\][/tex]
5. Select the Correct Answer:
The correctly rounded result, based on significant figures, is 39. Therefore, the answer to the question is:
39
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