Ncert Class 8 Chapter 1: Rational Numbers Hand notes
(Click on the sums to get the answers)
Ex 1.1 Rational Numbers
Using appropriate properties find
i) -2/3 * 3/5 + 5/2 -3/5 + 1/6
ii) 2/5 + (-3/7) -1/6 * 3/2 + 1/14 * 2/5
2. Write the additive inverse of each of the following
i) 2/8 ii) -5/9 iii) -6/-5 iv) 2/-9 v) 19/-6
3. Verify that -(-x) = x for
4. Find the multiplicative inverse of the following
i) -13 ii) -13/19 iii) 1/5 iv) -5/8 * -3/7 v) -1 * -2/5 vi) -1
5. Name the property under mnultiplication used in each of the following
ii) -13/17 * -2/7 = -2/7 * -13/17
6. Multiply 6/13 by the reciprocal of -7/16?
7. Tell what property allows you to compute 1/3 * ( 6* 4/3) as ( 1/3 * 6) * 4/3
8. Is 8 /9 the multiplicative inverse of -1 1/8 ? Why or why not?
9. Is 0.3 the multiplicative inverse of 3 1/3? Why or why not?
10. Write.
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
11. Fill in the blanks.
(i) Zero has ________ reciprocal.
(ii) The numbers ________ and ________ are their own reciprocals
(iii) The reciprocal of – 5 is ________.
(iv) Reciprocal of 1 /x , where x ≠ 0 is ________.
(v) The product of two rational numbers is always a _______.
(vi) The reciprocal of a positive rational number is ________.
Ex 1.2 Rational numbers
1. Represent these numbers on the number line
2. Represent -2/11, -5/11, -9/11 on the number line
3. Write five rational numbers which are smaller than 2 ?
4. Find ten rational numbers between -2/5 and 1/2?
5. Find Five rational numbers between
6. Write five rational numbers greater than -2 ?
7. Write ten rarional numbers between 3/5 and 3/4 ?
Free PDF of Rational Numbers Ex 1.1 and Ex 1.2
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