Is 1.256 rational or irrational?

Rational***
Irrational

correct.

Thanks!

Well, 1.256 is a rational number because it can be written as a fraction. Specifically, it can be expressed as 628/500, which means it has a clear and finite representation. So, 1.256 is definitely not irrational, unless you're trying to divide by zero, which would be infinitely crazy!

To determine whether 1.256 is rational or irrational, we need to understand the definition of rational and irrational numbers.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number can be written as a fraction.

An irrational number, on the other hand, cannot be expressed as a fraction or a ratio of two integers. They are non-repeating and non-terminating decimals.

Now, let's examine 1.256. The number can be written as 1256/1000, which can be simplified to 157/125. Since 157 and 125 are both integers and the denominator is not zero, we can conclude that 1.256 can be expressed as a ratio of two integers, making it a rational number.

So, to answer your question, 1.256 is rational.

Irrational