Question

Write the rational number for each labelled with a letter.

Accepted Answer

We need to find the rational numbers corresponding to the labels mentioned.

We know that in a number line, the difference between the adjacent numbers is equal throughout.

Here, the difference is $\frac{3}{5} - \frac{2}{5} = \frac{1}{5}$ .

So,
$A - \frac{0}{5} = \frac{1}{5}$

$\Rightarrow A - 0 = \frac{1}{5}$

$\Rightarrow A = \frac{1}{5} .$

Similarly,

$B - \frac{3}{5} = \frac{1}{5}$

$\Rightarrow B = \frac{3}{5} + \frac{1}{5} = \frac{4}{5} .$

Similarly,

$C - B = \frac{1}{5}$

$\Rightarrow C - \frac{4}{5} = \frac{1}{5}$

$\Rightarrow C = \frac{4}{5} + \frac{1}{5}$

$\Rightarrow C = \frac{4 + 1}{5} = \frac{5}{5} = 1 .$

Similarly,

$D - \frac{7}{5} = \frac{1}{5}$

$\Rightarrow D = \frac{7}{5} + \frac{1}{5} = \frac{8}{5} .$

And, lastly,

$\frac{10}{5} - E = \frac{1}{5}$

$\Rightarrow \frac{10}{5} - \frac{1}{5} = E$

$\Rightarrow E = \frac{10}{5} - \frac{1}{5}$

$\Rightarrow E = \frac{10 - 1}{5} = \frac{9}{5} .$

So, the values are $A = \frac{1}{5}, B = \frac{4}{5}, C = 1, D = \frac{8}{5}, E = \frac{9}{5}$ .

Subject Experts Solutions for Chapter: Rational Numbers, Exercise 4: Worksheet 4

Subject Experts Mathematics Solutions for Exercise - Subject Experts Solutions for Chapter: Rational Numbers, Exercise 4: Worksheet 4

Questions from Subject Experts Solutions for Chapter: Rational Numbers, Exercise 4: Worksheet 4 with Hints & Solutions

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