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A <em>number line</em> is a <u>system</u> that shows the location of all <em>directed numbers </em>on a <u>straight</u> <u>line</u>. All <em>numbers</em> can be plotted on a <em>number line</em>. Thus the required answer to the given question is; Option A. Point A is <em>twenty-two</em> <em>ninths</em>, point B is <em>square root</em> of 10, and point C is <em>square root</em> of 13.
A <u>line</u> on which the <em>locations</em> of all <em>directed number</em>s can be shown is termed a <u>number line</u>. It has <u>two</u> extreme ends ranging from -∞ to +∞. Note that all <em>numbers</em> can be plotted on a <em>number line</em>. So that the <u>position</u> of any given <em>number</em> can be shown on the <u>line</u>.
In the given question, we have:
i. square root of 10 =
= 3.2
ii. square root of 13 =
= 3.6
iii. twenty-two ninths =
= 2.4
But it has been given that;
Number line with points plotted at; <em>two</em> and <em>four-tenths</em> labeled point<u> A,</u> <em>three</em> and <em>two-tenths</em> labeled point <u>B</u>, and <em>three</em> and <em>six-tenths</em> labeled Point <u>C.</u>
Therefore,
Point A is <em>twenty-two ninths</em>, point B is <u>square</u> <u>root </u>of 10, and point C is <em>square root</em> of 13.
Thus the correct <u>option</u> is A.
For more clarifications on number line visit: brainly.com/question/22567573
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