Is the following statement true or false?

The geometrical representation of $7.28$ is correct as indicated on the number line.

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False

True

answer is A.

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Detailed Solution

We use the following steps to represent

7.28

on the number line.
If we receive the same result, it means the representation is correct.
First, we draw a line AB of

7.28

units.

Then we extend AB by 1 unit to C and denote the midpoint of AC by O.
Question Image

Now, we draw a semicircle with O as the center and AO as the radius.
We extend the line further to E.
Then we draw a perpendicular BD that falls on AC and intersects the semi-circle drawn.
Represent 7.28 geometrically on the number line.

Represent 7.28 geometrically on the number line.

The length of perpendicular BD will be

7.28 units .

Now since we’ll represent on the given line, we make an arc DE with radius BD.
Thus, BE is a line of length

7.28 units .

As a result, the geometrical representation of

7.28

is correct as indicated on the number line.
Thus, the statement is true.
Hence, option (1) is correct.

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