Question

which is the multiple identity for rational number

Answer 1

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Rational Number 1

The rational number 1 is the multiplicative identity for rational numbers.

Answer 2

Answer:

The multiplicative identity property states that when you multiply a number by 1, the answer is the original number. Therefore,. \displaystyle a \cdot 1 = a. displays the multiplicative identity property.

Step-by-step explanation:

Multiplicative identity of numbers, as the name suggests, is a property of numbers which is applied when carrying out multiplication operations Multiplicative identity property says that whenever a number is multiplied by the number 1 (one) it will give that number as product. “1” is the multiplicative identity of a number. It is true if the number being multiplied is 1 itself. The multiplicative identity property is represented as:

a × 1 = a = 1 × a (a is any real number)

Some examples:

−1 + 0 = −1 (−1 here is the number on which the operation is carried out and “0” is additive identity.

0 + 259 = 259

−1 × 1 = −1 (−1 here is the number on which the operation is carried out and “1” is a multiplicative identity)

Note: (−1) × (−1) = 1 (proves that −1 is not a multiplicative identity)

Example:

Which of the following illustrates the multiplicative identity and additive identity?

1)45 + 1 = 46

2)50 × 2 = 100

3)14 × 1 = 14

4)−54 + 0 = −54

Solution:

According to the identity property of multiplication, the product of any number multiplied by 1 is the number itself.

Here, only 14 × 1 = 14 satisfies the property.

Therefore, 14 × 1= 14 illustrates the Multiplicative identity.