# DAV Class 7 Maths Chapter 4 Worksheet 2 Solutions

The DAV Class 7 Maths Solutions and DAV Class 7 Maths Chapter 4 Worksheet 2 Solutions of Application of Percentage offer comprehensive answers to textbook questions.

## DAV Class 7 Maths Ch 4 WS 2 Solutions

Question 1.
Find the reciprocals of the following:
(i) (12)5
Reciprocal of (12)5
= $$\frac{1}{(12)^5}=\left(\frac{1}{12}\right)^5$$

(ii) (-9)4
Reciprocal of (-9)4
= $$\frac{1}{(-9)^4}=\left(-\frac{1}{9}\right)^4$$

(iii) $$\left(\frac{2}{7}\right)^3$$
Reciprocal of $$\left(\frac{2}{7}\right)^3$$
= $$\frac{1}{\left(\frac{2}{7}\right)^3}=\left(\frac{7}{2}\right)^3$$

(iv) $$\left(\frac{-3}{7}\right)^7$$
Reciprocal of $$\left(\frac{-3}{7}\right)^7$$
= $$\frac{1}{\left(\frac{-3}{7}\right)^7}=\left(\frac{-7}{3}\right)^7$$

(v) $$\left(\frac{-1}{15}\right)^8$$
Reciprocal of $$\left(\frac{-1}{15}\right)^8$$
= $$\frac{1}{\left(\frac{-1}{15}\right)^8}$$
= (-15)8

(vi) $$\left(\frac{-8}{13}\right)^{99}$$
Reciprocal of $$\left(\frac{-8}{13}\right)^{99}$$
= $$\frac{1}{\left(\frac{-8}{13}\right)^{99}}=\left(\frac{-13}{8}\right)^{99}$$

(vii) $$\left(\frac{1}{10}\right)^{10}$$
Reciprocal of $$\left(\frac{1}{10}\right)^{10}$$
= $$\frac{1}{\left(\frac{1}{10}\right)^{10}}=(10)^{10}$$

(viii) $$\frac{2}{3} \times \frac{9}{4}$$
Reciprocal of $$\frac{2}{3} \times \frac{9}{4}$$
= $$\frac{1}{\frac{2}{3} \times \frac{9}{4}}=\frac{1}{\frac{18}{12}}$$
= $$\frac{12}{18}=\frac{2}{3}$$

(ix) $$\left(\frac{1}{2}\right)^2$$ × 4
Reciprocal of $$\left(\frac{1}{2}\right)^2$$ × 4
= (2)2 × $$\frac{1}{4}$$
= 4 × $$\frac{1}{4}$$
(x) $$-\left(\frac{7}{8}\right)^2$$
Reciprocal of $$-\left(\frac{7}{8}\right)^2$$
= $$-\frac{1}{\left(\frac{7}{8}\right)^2}=-\left(\frac{8}{7}\right)^2$$