Multiplicative Identity and Rational Numbers

Multiplicative Identity
Multiplicative identity is a mathematical property that states that when any number is multiplied by 1, the result is the same number. For example, 5 x 1 = 5 or 0.5 x 1 = 0.5. In other words, 1 is the multiplicative identity of any number.

Is 1 Multiplicative Identity?
Yes, 1 is a multiplicative identity. When we multiply any number by 1, the result is the same number. For instance, 3 x 1 = 3 and 0.7 x 1 = 0.7. Therefore, 1 is the multiplicative identity of any number, including rational numbers.

Multiple Choice Questions- Rational Numbers
Rational numbers are those numbers that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. Rational numbers include integers, fractions, and decimals. Here are some multiple-choice questions related to rational numbers:

1. Which of the following numbers is not a rational number?
a. 0.5
b. 3/4
c. √2
d. 5

Answer: c. √2

2. Which of the following statements is incorrect about rational numbers?
a. Rational numbers can be expressed in the form of p/q.
b. All integers are rational numbers.
c. Fractions are rational numbers.
d. Irrational numbers are also rational numbers.

Answer: d. Irrational numbers are also rational numbers. (This statement is incorrect because irrational numbers cannot be expressed in the form of p/q, where p and q are integers.)

3. Which of the following is a rational number?
a. -5
b. 0.3333...
c. √9
d. 1.5

Answer: d. 1.5 (This is a decimal that can be expressed as a fraction, 3/2, which makes it a rational number.)

Conclusion
In conclusion, 1 is a multiplicative identity, and any number multiplied by 1 results in the same number. Rational numbers are numbers that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. They include integers, fractions, and decimals, but not irrational numbers.

Yes, 1 is multiplicative identity because if we multiply any number from it, the value of that number will not change