QQuestionMathematics
QuestionMathematics
# Use the points on the number line to answer the following questions:
a. Which point best represents $\sqrt{47}$ ? b. Which point best represents $\sqrt{27}$ ? c. Which point best represents $\sqrt{11}$ ?
Options:
A. Point A
B. Point B
C. Point C
D. Point D
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines.
Step 2:: Understand the Problem
- We need to determine which point on the number line best represents $\sqrt{47}$, $\sqrt{27}$, and $\sqrt{11}$
- We'll calculate the approximate values of these square roots and compare them to the points on the number line
Step 3:: Calculate $\sqrt{47}$
- $$\sqrt{47} \approx 6.856
- This value is between 6 and 7 on the number line
Step 4:: Calculate $\sqrt{27}$
- $$\sqrt{27} \approx 5.196
- This value is between 5 and 6 on the number line
Step 5:: Calculate $\sqrt{11}$
- $$\sqrt{11} \approx 3.317
- This value is between 3 and 4 on the number line
Step 6:: Match the Values to Points
- $\sqrt{11} \approx 3.317$ corresponds to Point C
- $\sqrt{27} \approx 5.196$ corresponds to Point A
Final Answer
a. $\sqrt{47}$ is best represented by Point B b. $\sqrt{27}$ is best represented by Point A c. $\sqrt{11}$ is best represented by Point C
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