Worksheet on Finding Rational Numbers between Two Rational Numbers

Practice the questions given in the worksheet on finding rational numbers between two rational numbers. The questions are related to insert as many rational numbers between two given rational numbers according to the questions.

1. Find out a rational numbers lying between 1/4 and 1/3.

2. Find out a rational number lying between 2 and 3.

3. Find out a rational number lying between -1/3 and 1/2.

4. Find out two rational numbers lying between -3 and -2.

5. Find out six rational numbers lying between -4/8 and 3/8.

6. Find out ten rational numbers lying between 7/13 and -4/13.

7. Find out three rational numbers lying between 4 and 5.

8. Find out three rational numbers lying between 2/3 and 3/4.

9. State true or false:

(i) Between any two distinct integers there is always an integer.

(ii) Between any two distinct rational numbers there is always a rational number.

(iii) Between any two distinct rational numbers there are infinitely many rational numbers.

Answers for the worksheet on finding rational numbers between two rational numbers are given below to check the exact answers of the insertion of rational numbers.

Answers:

1. 7/24

2. 5/2

3. 1/12

4. -5/2, -9/4

5. -3/8, -2/8, -1/8, 0/8, 1/8, 2/8

6. -3/13, -2/13, -1/13, 0/13, 1/13, 2/13, 3/13, 4/13, 5/13, 6/13

7. 17/4, 9/2, 19/4

8. 33/48, 17/24, 35/48

9. (i) False

(ii) True

(iii) True

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