Why is the number 3/10 a rational number
A. It is the quotient of 3 divided by 10
B. It is the quotient of 30 divided by 10
C. It is the quotient of 100 divided by 3
D. It is the quotient of 10 divided by 3
A. It is the quotient of 3 divided by 10.
A. It is the quotient of 3 divided by 10
To determine if a number is rational, we need to check if it can be expressed as a quotient or fraction of two integers.
In the case of the number 3/10, option A is correct. It is the quotient of 3 divided by 10. Dividing 3 by 10, we get 0.3. Although 0.3 can be expressed as a decimal, it can also be written as the fraction 3/10. Since both the numerator (3) and denominator (10) are integers, the number 3/10 is considered a rational number.
Option B states that 3/10 is the quotient of 30 divided by 10, which is incorrect. Dividing 30 by 10 gives us 3, not 3/10.
Option C states that 3/10 is the quotient of 100 divided by 3, which is also incorrect. Dividing 100 by 3 gives us approximately 33.33 as a repeating decimal, not 3/10.
Option D states that 3/10 is the quotient of 10 divided by 3, which is once again incorrect. Dividing 10 by 3 gives us approximately 3.33 as a repeating decimal, not 3/10.
Therefore, the correct answer is option A. 3/10 is a rational number because it can be expressed as the quotient of 3 divided by 10.