Let's evaluate each of the given expressions step-by-step:
### Expression 1: [tex]\( 0 \div 8 \)[/tex]
1. Identify the dividend and divisor:
- Dividend: 0
- Divisor: 8
2. Perform the division:
- When 0 is divided by any non-zero number, the result is always 0.
Therefore,
[tex]\[ 0 \div 8 = 0 \][/tex]
### Expression 2: [tex]\( \frac{5}{0} \)[/tex]
1. Identify the dividend and divisor:
- Dividend: 5
- Divisor: 0
2. Analyze the division:
- Division by zero is undefined in mathematics. This means there is no number that, when multiplied by 0, will result in 5.
Therefore,
[tex]\[ \frac{5}{0} = \text{Undefined} \][/tex]
By following these steps, we get the final answers:
- [tex]\( 0 \div 8 = 0 \)[/tex]
- [tex]\( \frac{5}{0} = \text{Undefined} \)[/tex]
The result of these evaluations is:
[tex]\[ 0 \div 8 = 0 \][/tex]
[tex]\[ \frac{5}{0} = \text{Undefined} \][/tex]