Selina Concise Maths Solutions Class 7 Chapter 2 Rational Numbers PDF

Downloaded from https://www.ncertbooksolutions.com/ Rational Numbers EXERCISE 2 (A) Question 1. Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits. Solu...

Downloaded from https://www.ncertbooksolutions.com/ Rational Numbers EXERCISE 2 (A) Question 1. Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits. Solution: Largest two digit = 99 Smallest, number of four digit = 1000 Now numerator = 99 and denominator = 1000 ∴ Rational number = om.c Question 2. ns Write the numerator of each of the following rational numbers: io t lu k so oo rtb ce.n Solution: w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 3. Write the denominator of each of the following rational numbers: Solution: om.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 4. Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5). Solution: om.c Question 5. ns io t lu k so oo rtb ce.n w w //w s: Solution: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 6. Separate positive and negative rational numbers from the following : om Solution:.c ns io t lu k so oo rtb ce.n w w //w s: Question 7. tp Find three rational numbers equivalent to ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c Question 8. ns Which of the following are not rational numbers : t io lu k so oo rtb ce.n w Solution: w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 9. Express each of the following integers as a rational number with denominator 7 : (i) 5 (ii) -8 (iii) 0 (iv) -16 (v) 7 Solution: om.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 10. Express as a rational number with denominator: Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 11. Express as a rational number with numerator : Solution: om.c ns t io lu k so oo rtb ce.n w w //w s: tp Question 12. ht Find x, such that: Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 13. Express each of the following rational numbers to the lowest terms : om.c ns io t lu so Solution: k oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 14. Express each of the following rational numbers in the standard form. Solution: om.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ EXERCISE 2 (B) Question 1. Mark the following pairs of rational numbers on the separate number lines : om.c ns tio lu k so oo rtb ce.n Solution: w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce Question 2..n Compare: w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Question 3. Compare: Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om Solution:.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Question 4. Arrange the given rational numbers in ascending order : Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns io t lu kso oo rtb ce.n w w //w s: Question 5. tp Arrange the given rational numbers in descending order: ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 6. Fill in the blanks : om.c ns tio lu so Solution: k oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ EXERCISE 2 (C) Question 1. Add: om.c ns Solution: t io lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so Question 2. oo Add: rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu so Question 3. Evaluate: k oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so Question 4. oo Evaluate: rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n Question 5. w Subtract : w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 6. Subtract : om.c ns tio lu so Solution: k oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 7. The sum of two rational numbers is. If one of them is , find the other. Solution: om.c ns tio lu k so oo Question 8. rtb The sum of two rational numbers is. If one of them is , find the other. ce Solution:.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 9. The sum of two rational numbers is -4. If one of them is , find the other. om Solution:.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Question 10. What should be added to to get ? Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 11. What should be added to to get 2? Solution: om.c ns iot lu so k oo rtb Question 12. ce What should be subtracted from to get 1?.n w Solution: w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 13. The sum of two numbers is. If one of them is -2, find the other. Solution: om.c ns Question 14. io t What should be added to to get ? lu kso Solution: oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 15. What should be subtracted from to get ? Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ EXERCISE 2 (D) Question 1. Evaluate: om.c ns t io Solution: lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n Question 2. w Multiply: w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 3. Evaluate: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb Question 4. ce Find the cost of 3 m cloth, if one metre cloth costs ₹325..n w w Solution: //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 5. A bus is moving with a speed of 65 km per hour. How much distance will it cover in 1 hours. Solution: om.c ns io t lu k so oo rtb ce.n w w //w Question 6. Divide: s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 7. Evaluate: om.c ns Solution: tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns io t lu k so oo rtb ce.n Question 8. w w The product of two numbers is 14. If one of the numbers is , find the other. //w Solution: s: tp ht Question 9. The cost of 11 pens is ₹3. Find the cost of one pen. Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c Question 10. ns If 6 identical articles can be bought for ₹2. Find the cost of each article. io t Solution: lu k so oo rtb ce.n w w //w s: tp ht Question 11. By what number should be multiplied so that the product is ? Solution: Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 12. By what number should be divided so -15 that the result is ? Solution: om Question 13. Evaluate :.c ns tio lu so Solution: k oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 14. Seven equal piece are made out of a rope 5 of 21 m. Find the length of each piece. Solution: om.c ns t io lu k so oo EXERCISE 2 (E) rtb Question 1. ce Evaluate:.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 2. The sum of two rational numbers is. If one of them is , find the other, Solution: om.c ns io t lu kso oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 3. The sum of two rational numbers is -5. If one of them is , find the other. Solution: om.c ns io t lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 4. What rational number should be added to to get Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 5. What rational number should be added to to get 2? Solution: om.c ns t io lu so Question 6. k What rational number should be subtracted from to get oo rtb Solution: ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 7. What rational number should be subtracted from to get ? Solution: om.c ns tio lu k so oo rtb ce.n Question 8. w Evaluate: w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Solution: om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ om.c ns tio lu k so oo rtb ce.n w w //w s: tp ht Downloaded from https://www.ncertbooksolutions.com/  Downloaded from https://www.ncertbooksolutions.com/ Question 9. The product of two rational numbers is 24. If one of them is , find the other. om Solution:.c ns io t lu k so oo rtb ce.n w w //w s: tp Question 10. ht By what rational number should we multiply ,so that the product may be ? Solution: Downloaded from https://www.ncertbooksolutions.com/