Question

Classify each number as either rational or irrational. Drag and drop into its correct category.

Rational
Irrational
Drag & Drop the answer
3.8‾3.\overline{8}3.
8


π\piπ
−117-\frac{11}{7}−
7
11
​


81\sqrt{81}
81
​


2\sqrt{2}
2
​

Answer 1

Let's classify each number:

1. **Rational** - A rational number can be expressed as the quotient of two integers.
- \( 3.\overline{8} \) (which can be expressed as \( \frac{38}{9} \))
- \( -\frac{11}{7} \)
- \( \sqrt{81} = 9 \) (since 9 is an integer)

2. **Irrational** - An irrational number cannot be expressed as a simple fraction.
- \( \pi \) (a well-known irrational number)
- \( 2\sqrt{2} \) (since \( \sqrt{2} \) is irrational, and multiplying an irrational number by a non-zero rational number is irrational)

Now, here's the classification:

**Rational:**
- \( 3.\overline{8} \)
- \( -\frac{11}{7} \)
- \( \sqrt{81} \)

**Irrational:**
- \( \pi \)
- \( 2\sqrt{2} \)