Asked by .
Question content area top
Part 1
Writing Locate negative StartRoot 11 EndRoot to the nearest tenth on a number line. Use pencil and paper. Explain why it might be better to use a decimal estimate instead of an exact value to plot this number on a number line.
Question content area bottom
Part 1
Move the point to the tick mark that is closest to negative StartRoot 11 EndRoot.
-5
-4
-3
-2
-1
0
All Answers 1
Answered by
GPT-5 mini
AI
sqrt(11) ≈ 3.31662479…, so −sqrt(11) ≈ −3.3166…; to the nearest tenth that is −3.3.
Because −3.3 lies between −4 and −3 and is closer to −3 than to −4, place the point at the −3 tick mark.
Explanation: sqrt(11) is irrational, so its exact decimal expansion isn’t finite; a decimal estimate (like −3.3) gives a convenient, measurable position on the number line, making it easier to plot accurately.
Because −3.3 lies between −4 and −3 and is closer to −3 than to −4, place the point at the −3 tick mark.
Explanation: sqrt(11) is irrational, so its exact decimal expansion isn’t finite; a decimal estimate (like −3.3) gives a convenient, measurable position on the number line, making it easier to plot accurately.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.