Question

Q4.Zero (0) is

(a) the identity for addition of rational numbers.

(b) the identity for subtraction of rational numbers.

(c) the identity for multiplication of rational numbers.

(d) the identity for division of rational numbers.

Q2.The product of two rational numbers is –7. If one of the number is –10, find the other.

Q8. If x + 0 = 0 + x = x, which is rational number, then 0 is called

(a) identity for addition of rational numbers.

(b) additive inverse of x.

(c) multiplicative inverse of x.

(d) reciprocal of x.

Q8. If x + 0 = 0 + x = x, which is rational number, then 0 is called

(a) identity for addition of rational numbers.

(b) additive inverse of x.

(c) multiplicative inverse of x.

(d) reciprocal of x.

Q12.Verify – (– x) = x for

(i) x = 3/5 (ii) x = -7/9 (iii) x = 13/-15

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Q4.Zero (0) is

(a) the identity for addition of rational numbers.

(b) the identity for subtraction of rational numbers.

(c) the identity for multiplication of rational numbers.

(d) the identity for division of rational numbers.

Q2.The product of two rational numbers is –7. If one of the number is –10, find the other.

Q8. If x + 0 = 0 + x = x, which is rational number, then 0 is called

(a) identity for addition of rational numbers.

(b) additive inverse of x.

(c) multiplicative inverse of x.

(d) reciprocal of x.

Q12.Verify – (– x) = x for

(i) x = 3/5 (ii) x = -7/9 (iii) x = 13/-15

EVALUATION

Q : 4

We know that if x is a rational number then

x + 0 = 0 + x = x

0 is called additive identity

Hence the correct option is

Zero (0) is

(a) the identity for addition of rational numbers.

Q : 2

Let x be the other number

Now it is given that

The product of two rational numbers is –7. If one of the number is –10

So by the given condition

- 7x = - 10

$\displaystyle \sf{ \implies \:x = \frac{10}{7} }$

Hence the other number is

$\displaystyle \sf{ \frac{10}{7} }$

Q8. If x + 0 = 0 + x = x, which is rational number, then 0 is called

(a) identity for addition of rational numbers.

Q : 12

(i) $\displaystyle \sf{x = \frac{3}{5} }$

$\displaystyle \sf{ - ( - x) = - \bigg( - \frac{3}{5} \bigg) = \frac{3}{5} = x }$

Hence verified

(ii)

$\displaystyle \sf{x = - \frac{7}{9} }$

$\displaystyle \sf{ - ( - x) = - \bigg( + \frac{7}{9} \bigg) = - \frac{7}{9} = x }$

Hence verified

(iii)

$\displaystyle \sf{x = \frac{13}{ - 15} = - \frac{13}{15} }$

$\displaystyle \sf{ - ( - x) = - \bigg( + \frac{13}{15} \bigg) = - \frac{13}{15} = x }$

Hence verified

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Answer 2

Step-by-step explanation:

the identity for addition of rational numbers