2) which letter on the number line best identifies the location of -6?

p
q
r
s

Question

2) which letter on the number line best identifies the location of -6?

p
q
r
s

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Number Line", "Negative Integers" ], "current_concepts": [ "Number Line", "Negative Integers" ] } ## Determine the scale of the number line $$ \begin{aligned} &\text{Let } x_0 = 0 \text{ be the tick mark labeled } 0.\ &\text{Let } x_{-5} = -5 \text{ be the tick mark labeled } -5.\ &\text{Count the number of intervals between } 0 \text{ and } -5:\ &N = 5 \text{ intervals}.\ &\text{Scale per interval} = \frac{-5 - 0}{5} = -1. \end{aligned} $$ ## Find the coordinate of each lettered point $$ \begin{aligned} &\text{Point } S \text{ is } 3 \text{ units to the left of } 0 \implies S = -3.\ &\text{Point } R \text{ is } 4 \text{ units to the left of } 0 \implies R = -4.\ &\text{Point } Q \text{ is } 5 \text{ units to the left of } 0 \implies Q = -5.\ &\text{Point } P \text{ is } 6 \text{ units to the left of } 0 \implies P = -6. \end{aligned} $$ ## Identify the letter corresponding to -6 $$ \text{Location of } -6 \implies P $$

(A) P

(B) Q

(C) R

(D) S

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Number Line" ] }

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QUESTION IMAGE

Question

Explanation:

Determine the scale of the number line

Find the coordinate of each lettered point

Identify the letter corresponding to -6

Answer: