## Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers

**Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers**

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**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 = \(\frac { 99 }{ 1000 }\)

**Question 2.**

**Write the numerator of each of the following rational numbers:**

**Solution:**

**Question 3.**

**Write the denominator of each of the following rational numbers:**

**Solution:**

**Question 4.**

**Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5).**

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

**Separate positive and negative rational numbers from the following :**

**Solution:**

**Question 7.**

**Find three rational numbers equivalent to**

**Solution:**

**Question 8.**

**Which of the following are not rational numbers :**

**Solution:**

**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:**

**Question 10.**

**Express \(\frac { 3 }{ 5 }\) as a rational number with denominator:**

**Solution:**

**Question 11.**

**Express \(\frac { 4 }{ 7 }\) as a rational number with numerator :**

**Solution:**

**Question 12.**

**Find x, such that:**

**Solution:**

**Question 13.**

**Express each of the following rational numbers to the lowest terms :**

**Solution:**

**Question 14.**

**Express each of the following rational numbers in the standard form.**

**Solution:**

**EXERCISE 2 (B)**

**Question 1.**

**Mark the following pairs of rational numbers on the separate number lines :**

**Solution:**

**Question 2.**

**Compare:**

**Solution:**

**Question 3.**

**Compare:**

**Solution:**

**Question 4.**

**Arrange the given rational numbers in ascending order :**

**Solution:**

**Question 5.**

**Arrange the given rational numbers in descending order:**

**Solution:**

**Question 6.**

**Fill in the blanks :**

**Solution:**

**EXERCISE 2 (C)**

**Question 1.**

**Add:**

**Solution:**

**Question 2.**

**Add:**

**Solution:**

**Question 3.**

**Evaluate:**

**Solution:**

**Question 4.**

**Evaluate:**

**Solution:**

**Question 5.**

**Subtract :**

**Solution:**

**Question 6.**

**Subtract :**

**Solution:**

**Question 7.**

**The sum of two rational numbers is \(\frac { 11 }{ 24 }\). If one of them is \(\frac { 3 }{ 8 }\), find the other.**

**Solution:**

**Question 8.**

**The sum of two rational numbers is \(\frac { -7 }{ 11 }\). If one of them is \(\frac { 13 }{ 24 }\), find the other.**

**Solution:**

**Question 9.**

**The sum of two rational numbers is -4. If one of them is \(-\frac { 13 }{ 12 }\) , find the other.**

**Solution:**

**Question 10.**

**What should be added to \(-\frac { 3 }{ 6 }\) to get \(-\frac { 11 }{ 24 }\) ?**

**Solution:**

**Question 11.**

**What should be added to \(\frac { -3 }{ 5 }\) to get 2?**

**Solution:**

**Question 12.**

**What should be subtracted from \(\frac { -4 }{ 5 }\) to get 1?**

**Solution:**

**Question 13.**

**The sum of two numbers is \(-\frac { 6 }{ 5 }\). If one of them is -2, find the other.**

**Solution:**

**Question 14.**

**What should be added to \(\frac { -7 }{ 12 }\) to get \(\frac { 3 }{ 8 }\)?**

**Solution:**

**Question 15.**

**What should be subtracted from \(\frac { 5 }{ 9 }\)to get \(\frac { 9 }{ 5 }\) ?**

**Solution:**

**EXERCISE 2 (D)**

**Question 1.**

**Evaluate**:

**Solution:**

**Question 2.**

**Multiply:**

**Solution:**

**Question 3.**

**Evaluate:**

**Solution:**

**Question 4.**

**Find the cost of 3 \(\frac { 1 }{ 2 }\) m cloth, if one metre cloth costs ₹325 \(\frac { 1 }{ 2 }\).**

**Solution:**

**Question 5.**

**A bus is moving with a speed of 65 \(\frac { 1 }{ 2 }\) km per hour. How much distance will it cover in 1 \(\frac { 1 }{ 3 }\) hours.**

**Solution:**

**Question 6.**

**Divide:**

**Solution:**

**Question 7.**

**Evaluate:**

**Solution:**

**Question 8.**

**The product of two numbers is 14. If one of the numbers is \(\frac { -8 }{ 7 }\), find the other.**

**Solution:**

**Question 9.**

**The cost of 11 pens is ₹3 \(\frac { 2 }{ 3 }\). Find the cost of one pen.**

**Solution:**

**Question 10.**

**If 6 identical articles can be bought for ₹2 \(\frac { 6 }{ 17 }\). Find the cost of each article.**

**Solution:**

**Question 11.**

**By what number should \(\frac { -3 }{ 8 }\) be multiplied so that the product is \(\frac { -9 }{ 16 }\) ?**

**Solution:**

**Question 12.**

**By what number should \(\frac { -5 }{ 7 }\) be divided so -15 that the result is\(\frac { -15 }{ 28 }\) ?**

**Solution:**

**Question 13.**

**Evaluate :**

**Solution:**

**Question 14.**

**Seven equal piece are made out of a rope 5 of 21 \(\frac { 5 }{ 7 }\) m. Find the length of each piece.**

**Solution:**

**EXERCISE 2 (E)**

**Question 1.**

**Evaluate:**

**Solution:**

**Question 2.**

**The sum of two rational numbers is \(\frac { -3 }{ 8 }\). If one of them is \(\frac { 3 }{ 16 }\), find the other,**

**Solution:**

**Question 3.**

**The sum of two rational numbers is -5. If one of them is \(\frac { -52 }{ 25 }\) , find the other.**

**Solution:**

**Question 4.**

**What rational number should be added to \(-\frac { 3 }{ 16 }\) to get \(\frac { 11 }{ 24 }\)**

**Solution:**

**Question 5.**

**What rational number should be added to \(-\frac { 3 }{ 5 }\) to get 2?**

**Solution:**

**Question 6.**

**What rational number should be subtracted from \(-\frac { 5 }{ 12 }\)to get \(\frac { 5 }{ 24 }\)**

**Solution:**

**Question 7.**

**What rational number should be subtracted from \(\frac { 5 }{ 8 }\) to get \(\frac { 8 }{ 5 }\) ?**

**Solution:**

**Question 8.**

**Evaluate:**

**Solution:**

**Question 9.**

**The product of two rational numbers is 24. If one of them is \(-\frac { 36}{ 11 }\), find the other.**

**Solution:**

**Question 10.**

**By what rational number should we multiply \(\frac { 20 }{ -9 }\) ,so that the product may be \(\frac { -5 }{ 9 }\) ?**

**Solution:**