Sign In
A rational number can be written as the ratio of two integers. Conversely, an irrational number cannot be written as the ratio of two integers.
| Rational | Irrational |
|---|---|
| 8/5 | π |
| 0 | 4.46466... |
| sqrt(1) | sqrt(2) |
| - 6 |
We will classify the given numbers as rational or an irrational number and fill the table. To do so, let's first recall the definitions of rational numbers and irrational numbers.
With these definitions in mind, let's now consider the given numbers. We will start by identifying 85. By the definition of rational numbers, since both 8 and 5 are integers, 85 can be expressed as the ratio of two integers. Therefore, this number is a rational number. Now we will make a table to identify the classifications of the other numbers.
| Number | Can Be Written as the Ratio of Two Integers? | Rational/Irrational |
|---|---|---|
| 8/5 | Yes, 8/5. | Rational |
| π=3.141592... | No, non-repeating and non-terminating. | Irrational |
| 0 | Yes, 0/1. | Rational |
| sqrt(1) | Yes, 1 is a perfect square. sqrt(1)=1 | Rational |
| 4.46466... | No, non-repeating and non-terminating. | Irrational |
| - 6 | Yes, -6/1. | Rational |
| sqrt(2)=1.414213... | No, non-repeating and non-terminating. | Irrational |
With the information we found we will fill the given table.
| Rational | Irrational |
|---|---|
| 8/5 | π |
| 0 | 4.46466... |
| sqrt(1) | sqrt(2) |
| - 6 |
