Processing math: 100%

Practice Set 23 Class 7 Answers Chapter 5 Operations on Rational Numbers Maharashtra Board

by

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 Maths Chapter 5 Practice Set 23 Solutions Maharashtra Board

Std 7 Maths Practice Set 23 Solutions Answers

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.

Std 7 Maths Digest