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Question 1

Using appropriate properties find the value of

Solution:

= 2.

Question 2

Using appropriate properties find the value of

Solution:

=

 

Question 3

What is the additive inverse of

Solution:
The additive inverse of is

Question 4

What is the additive inverse of

Solution:
The additive inverse of

Question 5

What is the additive inverse of

Solution:

Additive inverse of is

Additive inverse of is

Question 6

What is the additive inverse of

Solution:
The additive inverse of

Question 7

Verify that

Solution:

Question 8

Verify that

Solution:

 

Question 9

What is the multiplicative inverse of − 13

Solution:
The multiplicative inverse of 13 is

 

Question 10

What is the multiplicative inverse of

Solution:
The multiplicative inverse of

 

Question 11

What is the multiplicative inverse of

Solution:
The multiplicative inverese of is

 

Question 12

What is the multiplicative inverse of − 1

Solution:
The multiplicative inverse of 1 is 1.

 

Question 13

Name the property under multiplication used in each of the following.


Solution:
(i) Role of 1

(ii) Commutativity

(iii) Multiplicative inverse.


 

Question 14

Multiply by the reciprocal of

Solution:
Reciprocal of

 

Question 15

Tell what property allows you to compute

Solution:
Associativity

 

Question 16

Is the multiplicative inverse of Why or why not?

Solution:

is not the multiplicative inverse of


 

Question 17

Is 0.3 the multiplicative inverse of Why or why not.

Solution:

is not the multiplicative inverse of

Question 18

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.

Solution:
(i) Zero does not have a reciprocal

(ii) 1 and 1 are equal to their reciprocals.

(iii) Zero is equal to its negative.


 

Question 19

Represent on the number line.

Solution:

Question 20

Represent on the number line.

Solution:

Question 21

Represent on the number line.

Solution:

Question 22

Write five rational numbers smaller than 2

Solution:

Question 23

Write ten rational numbers between

Solution:
The mean of

is equivalent to

is equivalent to

Represent and on the number line.

 

To give the solution choose any ten rational numbers between (which is ) and

Question 24

Find five rational numbers between

Solution:

The mean of

The mean of

The mean of

Question 25

Find five rational numbers between

Solution:

The mean of

The mean of

The mean of

The mean of

The mean of

Question 26


Solution:

The mean of

We know that is equivalent to and is equivalent to

The rational numbers lie between

The mean of

Now





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