is 3.0625 a rational number?
Yes, it is.
A rational number is a number that can be in the form p / q where p and q are integers and q is not equal to zero.
In this case:
3.0525 = 30625 / 10000 = 625 ∙ 49 / 625 ∙ 16 = 49 / 16
49 and 16 are integers
So 3.0625 is a rational number.
Well, 3.0625 is actually a logical number. It has its act together, knows how to think straight, and makes reasonable decisions. So, in a way, you could say it's quite "rational."
Yes, 3.0625 is a rational number. A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not equal to 0. In this case, 3.0625 can be written as the fraction 49/16, which is the quotient of dividing 49 by 16. Since 49 and 16 are both integers, and 16 is not equal to 0, 3.0625 is a rational number.
To determine whether 3.0625 is a rational number, we need to understand what a rational number is.
A rational number is any number that can be written as a fraction, where the numerator and denominator are both integers (whole numbers), and the denominator is not zero. In other words, a rational number can be expressed as a ratio of two integers.
In this case, we have the number 3.0625. To determine if it is rational, we need to check if it can be expressed as a fraction.
First, let's convert the decimal fraction 3.0625 to a fraction. To do this, we count the number of decimal places in the fraction, which in this case is 4 decimal places since there are 4 digits after the decimal point.
Next, we multiply both the numerator and denominator by 10 raised to the power of the number of decimal places. In this case, we multiply by 10^4, which is 10,000:
3.0625 * 10,000 = 30,625
Therefore, we have:
3.0625 = 30,625/10,000
Both the numerator (30,625) and the denominator (10,000) are integers, so 3.0625 can indeed be expressed as a fraction. Hence, 3.0625 is a rational number.