Question

Observe the number line and answer the questions.

(1) Which number is indicated by point B?
(2) Which point indicates the number $1\frac{3}{4}$?
(3) State whether the statement, 'the point D denotes the number $\frac{5}{2}$, is true of false.

Answer 1

(1) We observe that each unit on the number line is divided into 4 equal parts.
Now, B is the tenth point on the left of 0.
So, B indicates $-\frac{10}{4}$ on the number line .
$\left(2\right)1\frac{3}{4}=\frac{7}{4}=7\times \frac{1}{4}$
So, the seventh point on the right of 0 is C that indicates $1\frac{3}{4}$ on the number line.
(3) The point D is the tenth point on the right of 0. So, D indicates $\frac{10}{4}$ on the number line.
Now, $\frac{10}{4}=\frac{5}{2}$
So, D denotes $\frac{5}{2}$ on the number line. Hence, the given statement is true.