the multiplicative identity of a whole number is
Answers
Answer:
Thus, 1 is the multiplicative identity for whole numbers, integers and rational numbers.
Step-by-step explanation:
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Answer:
1
Step-by-step explanation:
First, we will list some whole numbers as a series.
Thus, we get
0, 1, 2, 3, 4, 5
Multiplicative identity of the whole number is a property which states that if a number is multiplied by another number, such that the product is the first number itself, then the second number is called the multiplicative identity (or identity element) of the first number.
This means that if a×b=a
, then b
is the multiplicative identity of a
.
Now, we know that the product of any number with 1 is the number itself.
The product of 0 and 1 is 0, the product of 1 and 1 is 1, the product of 2 and 1 is 2, the product of 3 and 1 is 3, etc.
Therefore, we get 0×1=0
, 1×1=1
, 2×1=2
, 3×1=3
.
Thus, we can conclude that 1 is the multiplicative identity of the whole number.
This means that either option (a) is correct, or option (c).
We know that the product of any number with 0 is 0.
The product of 0 and 0 is 0, the product of 1 and 0 is 0, the product of 2 and 0 is 0, the product of 3 and 0 is 0, etc.
Therefore, we get 0×0=0
, 1×0=0
, 2×0=0
, 3×0=0
.
Thus, we can conclude that 0 is not the multiplicative identity of the whole number.