## RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
- RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

**Question 1.**

**Verify the property : x x y = y x x by taking :**

**Solution:**

**Question 2.**

**Verify the property : x x (y x z) = (x x y) x z by taking :**

**Solution:**

**Question 3.**

**Verify the property :xx(y + 2) = xxy + x x z by taking :**

**Solution:**

**Question 4.**

**Use the distributivity of multiplication of rational numbers over their addition to simplify :**

**Solution:**

**Question 5.**

**Find the multiplicative inverse (reciprocal) of each of the following rational numbers :**

**Solution:**

**Question 6.**

**Name the property of multiplication of rational numbers illustrated by the following statements :**

**Solution:**

**Question 7.**

**(i) The product of two positive rational numbers is always______.**

**(ii) The product of a positive rational number and a negative rational number is always________.**

**(iii) The product of two negative rational numbers is always________.**

**(iv) The reciprocal of a positive rational number is________.**

**(v) The reciprocal of a negative rational number is________.**

**(vi) Zero has reciprocal. The product of a rational number and its reciprocal is______.**

**(viii) The numbers and are their own reciprocals______.**

**(ix) If a is reciprocal of b, then the reciprocal of b is______.**

**(x) The number 0 is the reciprocal of any number______.**

**(xi) Reciprocal of \(\frac { 1 }{ a }\), a≠ 0 is______.**

**(xii) (17 x 12) ^{-1} = 17^{-1} x________ .**

**Solution:**

The product of two positive rational numbers is always positive.

(ii) The product of a positive rational number and a negative rational number is always negative.

(iii) The product of two negative rational numbers is always positive.

(iv) The reciprocal of a positive rational number is positive.

(v) The reciprocal of a negative rational number is negative.

(vi) Zero has no reciprocal.

(vii) The product of a rational number and its reciprocal is 1.

(viii)The numbers 1 and -1 are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is a.

(x) The number 0 is not the reciprocal of any number.

(xi) Reciprocal of \(\frac { 1 }{ a }\), a≠ 0 is a.

(xii) (17 x 12)^{-1} = 17^{-1} x________ .

**Question 8.**

**Fill in the blanks :**

**Solution:**

**Fill in the blanks :**

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6 are helpful to complete your math homework.

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