Question

Are the following numbers rational, irrational, integers, whole numbers, or natural numbers?

square root of 8
square root of 49
pi(3.14)
1.333333333
7/8
-4 3/5
0
-5

Answer 1

Let's categorize each of the given numbers:

1. **Square root of 8**
- **Type:** Irrational
- **Explanation:** The square root of 8 is approximately 2.828, which cannot be expressed as a fraction of two integers.

2. **Square root of 49**
- **Type:** Integer (and also a whole number, natural number)
- **Explanation:** The square root of 49 is 7, which is an integer, whole number, and a natural number.

3. **Pi (3.14)**
- **Type:** Irrational
- **Explanation:** Pi is a well-known irrational number; its exact value cannot be expressed as a fraction.

4. **1.333333333**
- **Type:** Rational
- **Explanation:** This number can be expressed as the fraction 4/3 (1 1/3), making it rational.

5. **7/8**
- **Type:** Rational
- **Explanation:** This is already in the form of a fraction with integers, making it rational.

6. **-4 3/5**
- **Type:** Rational
- **Explanation:** This is a mixed number that can be expressed as -23/5, which is a rational number.

7. **0**
- **Type:** Integer (and also a whole number, rational)
- **Explanation:** Zero is an integer and rational since it can be expressed as 0/1.

8. **-5**
- **Type:** Integer (and also a whole number, rational)
- **Explanation:** This is an integer, specifically a negative one. It is also rational as it can be expressed as -5/1.

### Summary:
- **Square root of 8:** Irrational
- **Square root of 49:** Integer, whole number, natural number
- **Pi (3.14):** Irrational
- **1.333333333:** Rational
- **7/8:** Rational
- **-4 3/5:** Rational
- **0:** Integer, whole number, rational
- **-5:** Integer, whole number, rational