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Class 8 Rational Numbers

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 

i) x= 11/5  ii) -13/17

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

i) -4/5 * 1 =  1* -4/5 = -4/5

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

iii) -19/ 29 = 29/ -19 = 1

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. 

Ex 1.2 Rational numbers

1. Represent these numbers on the number line 

i) 7/4  ii) -5/6

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 

i) 2/3 and 4/5 

ii) -3/2 and 5/3 

iii) 1/4 and 1/2

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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