# Maharashtra Board Practice Set 23 Class 7 Maths Solutions Chapter 5 Operations on Rational Numbers

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 23 Answers Solutions Chapter 5 Operations on Rational Numbers.

## Operations on Rational Numbers Class 7 Practice Set 23 Answers Solutions Chapter 5

Question 1.
Write three rational numbers that lie between the two given numbers.
i. $$\frac{2}{7}, \frac{6}{7}$$
ii. $$\frac{4}{5}, \frac{2}{3}$$
iii. $$-\frac{2}{3}, \frac{4}{5}$$
iv. $$\frac{7}{9},-\frac{5}{9}$$
v. $$\frac{-3}{4}, \frac{+5}{4}$$
vi. $$\frac{7}{8}, \frac{-5}{3}$$
vii. $$\frac{5}{7}, \frac{11}{7}$$
viii. $$0, \frac{-3}{4}$$
Solution:
i. $$\frac{2}{7}, \frac{6}{7}$$
The three numbers lying between $$\frac { 2 }{ 7 }$$ and $$\frac { 6 }{ 7 }$$ are $$\frac{3}{7}, \frac{4}{7}, \frac{5}{7}$$

ii. $$\frac{4}{5}, \frac{2}{3}$$
$$\frac{4}{5}=\frac{24}{30}, \frac{2}{3}=\frac{20}{30}$$
The three numbers between $$\frac { 4 }{ 5 }$$ and $$\frac { 2 }{ 3 }$$ are $$\frac{21}{30}, \frac{22}{30}, \frac{23}{30}$$

iii. $$-\frac{2}{3}, \frac{4}{5}$$
$$\frac{-2}{3}=\frac{-10}{15}, \frac{4}{5}=\frac{12}{15}$$
The three numbers between $$\frac { -2 }{ 3 }$$ and $$\frac { 4 }{ 5 }$$ are $$\frac{-9}{15}, \frac{-7}{15}, \frac{4}{15}$$

iv. $$\frac{7}{9},-\frac{5}{9}$$
The three numbers between $$\frac { 7 }{ 9 }$$ and $$\frac { -5 }{ 9 }$$ are $$\frac{6}{9}, 0, \frac{-4}{9}$$

v. $$\frac{-3}{4}, \frac{+5}{4}$$
The three numbers between $$\frac { -3 }{ 4 }$$ and $$\frac { +5 }{ 4 }$$ are $$\frac{-2}{4}, \frac{-1}{4}, \frac{3}{4}$$

vi. $$\frac{7}{8}, \frac{-5}{3}$$
$$\frac{7}{8}=\frac{21}{24}, \frac{-5}{3}=\frac{-40}{24}$$
The three numbers between $$\frac { 7 }{ 8 }$$ and $$\frac { -5 }{ 3 }$$ are $$\frac{17}{24}, \frac{11}{24}, \frac{-13}{24}$$

vii. $$\frac{5}{7}, \frac{11}{7}$$
The three numbers between $$\frac { 5 }{ 7 }$$ and $$\frac { 11 }{ 7 }$$ are $$\frac{6}{7}, \frac{8}{7}, \frac{9}{7}$$

viii. $$0, \frac{-3}{4}$$
The three numbers between 0 and $$\frac { -3 }{ 4 }$$ are $$\frac{-1}{8}, \frac{-2}{8}, \frac{-5}{8}$$

Maharashtra Board Class 7 Maths Chapter 5 Operations on Rational Numbers Practice Set 23 Intext Questions and Activities

Question 1.
Answer the following questions: (Textbook pg. no. 36)

1. Write all the natural numbers between 2 and 9.
2. Write all the integers between -4, and 5.
3. Which rational numbers are there between $$\frac { 1 }{ 2 }$$ and $$\frac { 3 }{ 4 }$$ ?

Solution:

1. 3, 4, 5, 6, 7, 8
2. -3, -2, -1, 0, 1, 2, 3, 4
3. $$\frac{1}{2}=\frac{1 \times 2}{2 \times 2}=\frac{2}{4}=\frac{2 \times 10}{4 \times 10}=\frac{20}{40}$$
$$\frac{3}{4}=\frac{3 \times 10}{4 \times 10}=\frac{30}{40}$$
∴ The rational numbers between $$\frac { 1 }{ 2 }$$ and $$\frac { 3 }{ 4 }$$ are $$\frac{21}{40}, \frac{22}{40}, \frac{25}{40}, \frac{27}{40}$$ etc.