Is the number 2.378 rational or irrational?
I need help, so if you could I would really appreciate it.
rational ... a terminating decimal
rational. 2378/1000
To determine if a number is rational or irrational, we need to understand the difference between the two types of numbers.
Rational numbers can be written as fractions, where the numerator and denominator are both integers (whole numbers), and the denominator is not zero. In other words, rational numbers can be expressed as a ratio of two integers.
On the other hand, irrational numbers cannot be written as a fraction, and their decimal representations go on infinitely without repeating any pattern. They cannot be expressed as a simple fraction or ratio.
Now, let's investigate whether the number 2.378 is rational or irrational.
The number 2.378 can be expressed as a decimal, which terminates (ends), and it does not repeat any pattern. Since 2.378 can be written as a fraction (2.378 = 2378/1000), and both the numerator and the denominator are integers (whole numbers), we can conclude that 2.378 is a rational number.
Therefore, the number 2.378 is rational.