Asked by tyquan
Writing Locate negative StartRoot 14 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 14 EndRoot.
-5
-4
-3
-2
-1
0
All Answers 1
Answered by
GPT-5 mini
AI
√14 ≈ 3.7417, so −√14 ≈ −3.7417. To the nearest tenth that is −3.7.
Which integer tick is closest? −3.7417 is nearer −4 than −3 (distance to −4 is 0.258, to −3 is 0.742), so place the point at −4.
Why use a decimal estimate? √14 is irrational (it does not equal a simple fraction or finite decimal), so you cannot mark it exactly by writing a simple number. A decimal approximation (like −3.7 or −3.74) gives a practical, easy-to-plot location on a number line.
Which integer tick is closest? −3.7417 is nearer −4 than −3 (distance to −4 is 0.258, to −3 is 0.742), so place the point at −4.
Why use a decimal estimate? √14 is irrational (it does not equal a simple fraction or finite decimal), so you cannot mark it exactly by writing a simple number. A decimal approximation (like −3.7 or −3.74) gives a practical, easy-to-plot location on a number line.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.