# Rational Numbers – Class 8.

Chapter 1 of NCERT/CBSE Class 8 Maths is about Rational Numbers. Here in this lesson you can find practice problems for this chapter.

**MODEL QUESTIONS FOR CBSE CLASS 8 MATHEMATICSRational Numbers – Class 8**

**Fill in the blanks:**

- The rational number which is equal to its additive inverse is ———
- (-5/7) x ——– = 1.
- The additive inverse of 5 is ———–
- ———– is called the identity for the addition of rational numbers.
- For all rational numbers a, b and c, a (b – c) = ab – ac. This property is known as —————-
- The multiplicative inverse of (-1) is ————-
- The reciprocal of a negative rational number is ————-
**Answer the following:** - Verify that – (-x) is the same as x for x = -11/13.
- Tell what property allows you to compute ½ x (4 x ¼) as (½ x 4) x ¼.
- Is 2/7 the multiplicative inverse of 3 ½?
- Is 0.7 the multiplicative inverse of 1 3/7?
- Write any three rational numbers between -4 and 0?
- Write five rational numbers greater than -5?
- Write five rational numbers less than 0?
- Write the additive and multiplicative inverse of 2?

**ANSWERS:**

- Zero
- -7/5
- -5
- Zero
- Distributivity of Multiplication over subtraction.
- -1
- Negative
- Given x = -11/13.

Here we need to prove that – (-x) = x.

LHS = – (-x) = – (-(-11/13) = -11/13 = x.

So verified. - Associativity of multiplication.
- Yes.

3 ½ = (3 x 2 + 1)/2 = 7/2.

Multiplicative inverse of 7/2 is 2/7. - Yes

1 3/7 = (1 x 7 +3)/7 = 10/7.

Also 0.7 = 7/10. - Three rational numbers between -4 and 0 are -3, -2, -1.
- Many rational numbers we can write.

Some of the rational numbers are -4, -3, -2, -1, 0, 1…… - Many rational numbers we can write.

Some of the rational numbers are -1, -1/2,-3/2, -2, -3 ….. - Additive inverse of 2 is (-2) and multiplicative inverse of 2 is ½.