# NCERT Solutions for Class 8 Maths –Chapter 1 Rational Numbers (Updated Pattern)

**NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers** are provided here to help the students understand the concepts right from the beginning. The concepts taught in Class 8 are important to be understood as these concepts are continued in Classes 9 and 10.

**Name the property under multiplication used in each of the following:**

**(i) -4/5 × 1 = 1 × (-4/5) = -4/5**

**(ii) -13/17 × (-2/7) = -2/7 × (-13/17)**

**(iii) -19/29 × 29/-19 = 1**

**Solution:**

(i) -4/5 × 1 = 1 × (-4/5) = -4/5

Here 1 is the multiplicative identity.

(ii) -13/17 × (-2/7) = -2/7 × (-13/17)

The property of commutativity is used in the equation.

(iii) -19/29 × 29/-19 = 1

The multiplicative inverse is the property used in this equation.

**2.** **Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3.**

**Solution:**

1/3 × (6 × 4/3) = (1/3 × 6) × 4/3

Here, how factors are grouped in a multiplication problem supposedly does not change the product. Hence, the Associativity Property is used here.

**NCERT Solutions for Class 8 Civics Chapter 8 Law & Social Justice (updated pattern)**

**3. The product of two rational numbers is always a _.**

**Answer:** Rational number