pedro, lena, harriet, and yermin each plot a point to approximate $\sqrt{0.50}$.

whose point is the best approximation of $\sqrt{0.50}$?

pedro
lena
harriet
yermin

Question

pedro, lena, harriet, and yermin each plot a point to approximate $\sqrt{0.50}$.

whose point is the best approximation of $\sqrt{0.50}$?

pedro
lena
harriet
yermin

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Square Root Estimation", "Number Line Representation" ], "new_concepts": [], "current_concepts": [ "Square Root Estimation", "Number Line Representation" ] } ## Approximate the square root of 0.50 $$ \begin{aligned} &0.7^2 = 0.49 \ &0.8^2 = 0.64 \ &0.49 < 0.50 < 0.64 \implies 0.7 < \sqrt{0.50} < 0.8 \ &\sqrt{0.50} \approx 0.707 \end{aligned} $$ ## Identify the correct plot on the number lines $$ \begin{aligned} &\text{Pedro's point: } \approx 0.25 \ &\text{Lena's point: } \approx 0.45 \ &\text{Harriet's point: } \approx 0.51 \ &\text{Yermin's point: } \approx 0.71 \end{aligned} $$ ## Determine the best approximation $$ \text{Yermin's point is closest to } \sqrt{0.50} \approx 0.707. $$

Pedro

Lena

Harriet

Yermin

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Square Root Estimation" ] }

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QUESTION IMAGE

Question

Explanation:

Approximate the square root of 0.50

Identify the correct plot on the number lines

Determine the best approximation

Answer: