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Q.

The multiplicative identity for integers is:


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a

0

b

1

c

0.1

d

2 

answer is B.

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Detailed Solution

Concept- Understanding what a multiplicative identity is and solving it with simple assumptions.
Multiplicative identity states that if an identity is used to multiply any given number or element, there is no change in that number or element i.e., the result is always the original number/element. Let us take an example of any integer, such as 7.
According to the definition, integer 7 when multiplied by an identity should not make a change in the integer. 7 × x =7
where x = multiplicative identity that we have to find. Now, taking a different identity from the options and putting in the equation we will find the answer.
1) Putting 0 in the place of x, we get:
7 × x =7
7 ×0 =0
0 changed the identity of the integer 7. So, this is the wrong answer.
Similarly, 0.1 and 2 will also change the integer 7.
3) 7 ×0.1 =0.7
4) 7 ×2 =14
So, option 3 and 4 are also wrong.
2) Putting 1 in the place of x, we get:
7 ×x =7
7 ×1 =7
1 did not change the integer and gave the same number as result. Therefore, according to the definition, 1 is the correct answer
Hence, the correct option is 2) 1
 
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