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 MATHEMATICS
Rational Numbers – Class 8

Fill in the blanks:

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

ANSWERS:

  1. Zero
  2. -7/5
  3. -5
  4. Zero
  5. Distributivity of Multiplication over subtraction.
  6. -1
  7. Negative
  8. Given x = -11/13.
    Here we need to prove that – (-x) = x.
    LHS = – (-x) = – (-(-11/13) = -11/13 = x.
    So verified.
  9. Associativity of multiplication.
  10. Yes.
    3 ½ = (3 x 2 + 1)/2 = 7/2.
    Multiplicative inverse of 7/2 is 2/7.
  11. Yes
    1 3/7 = (1 x 7 +3)/7 = 10/7.
    Also 0.7 = 7/10.
  12. Three rational numbers between -4 and 0 are -3, -2, -1.
  13. Many rational numbers we can write.
    Some of the rational numbers are -4, -3, -2, -1, 0, 1……
  14. Many rational numbers we can write.
    Some of the rational numbers are -1, -1/2,-3/2, -2, -3 …..
  15. Additive inverse of 2 is (-2) and multiplicative inverse of 2 is ½.

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