is 1.765 a rational or irrational number
Well, 1.765 is a rational number. It's just an irrational number that's been dressed up for a formal event. But don't worry, deep down, it's still a rational number.
To determine whether 1.765 is a rational or irrational number, we need to check if it can be expressed as a fraction of two integers.
In this case, 1.765 can be written as 1765/1000 in fraction form.
Since both 1765 and 1000 are integers, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (gcd). In this case, gcd(1765, 1000) = 5.
When we divide 1765 and 1000 by 5, we get 353/200.
Therefore, 1.765 is a rational number because it can be expressed as the fraction 353/200.
To determine if 1.765 is a rational or irrational number, we need to understand the difference between these two types of numbers.
A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In other words, a rational number can be written in the form of p/q, where p and q are integers and q is not equal to zero.
On the other hand, an irrational number is a number that cannot be expressed as a fraction. It cannot be written as a ratio of two integers.
Now, let's analyze 1.765. Since its decimal representation terminates (it does not go on indefinitely), we can conclude that it is a rational number. To express it as a fraction, we can write it as 1765/1000, and then simplify if necessary.
Therefore, 1.765 is a rational number.