To solve the problem using Peter's rule of multiplying a number by 3, we'll break down his instruction step-by-step:
1. Identify the number:
Peter wants to multiply the number 8 by 3.
2. Peter's rule: Double the number and then add the number on:
- First, double the number: [tex]\( 8 \times 2 = 16 \)[/tex].
- Next, add the original number to the doubled value: [tex]\( 16 + 8 = 24 \)[/tex].
Using Peter's rule, the correct step-by-step application shows:
1. Double the number 8:
[tex]\( 8 \times 2 = 16 \)[/tex].
2. Add the number 8 to the doubled value:
[tex]\( 16 + 8 = 24 \)[/tex].
Based on these calculations, the correct representation of Peter's rule is:
```
A. 16 + 8
```
Hence, among the given options,
```
A: 16 + 8
```
effectively demonstrates Peter’s rule for multiplying by 3.