Question

Hassan used the iterative process to locate StartRoot 0.15 EndRoot on the number line.

A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5.

Which best describes Hassan’s estimation?
Hassan is correct because StartRoot 0.15 EndRoot almost-equals 0.4
Hassan is correct because the point is on the middle of the number line.
Hassan is incorrect because StartRoot 0.15 EndRoot is less than 0.4.
Hassan is incorrect because the point should be located between 0.1 and 0.2

Answer 1

Hassan is incorrect because √0.15  is less than 0.4, and the value of  √0.15 is 0.3872 option third is correct.

What is the iteration method?

Iteration is the process of repeating a procedure in order to produce a series of results.

We have:

= √0.15

$= \rm \sqrt{{\dfrac{15}{100}}}$

$= \rm \sqrt{{\dfrac{3}{20}}}$

= (1.732)/(4.472)

= 0.3872

√0.15 is less than 0.4.

Thus, Hassan is incorrect because √0.15  is less than 0.4, and the value of  √0.15 is 0.3872 option third is correct.

Learn more about the iteration here:

brainly.com/question/13194556

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