Question

Compare √42 and √58 plotted on the number line. What is the approximate difference in tenths between the two values? A number line going from 6 to 10. StartRoot 42 EndRoot is plotted between 6 and 7, and StartRoot 58 EndRoot is plotted between 7 and 8. StartRoot 58 EndRoot is about greater than StartRoot 42 EndRoot.

Answer 1

⇒ 1.2 is your answer.

Answer 2

11/10

Explanation:

Your calculator will tell you that √58 ≈ 7.62 and √42 ≈ 6.48. The difference of these numbers is ...

7.62 -6.48 = 1.14 ≈ 1.1

The difference is about 11 tenths.

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You should be able to count the divisions on the number line to arrive at this conclusion.