18. Peter made up a rule to multiply by 3. He said, "Double the number and then add the number."

He wanted to multiply 8 by 3.

Which one of the following shows Peter's rule?
[tex]$
\begin{array}{l}
\text{A. } 16 + 8 \\
\text{B. } 11 + 8 \\
\text{C. } 18 + 6 \\
\text{D. } 16 + 3
\end{array}
$[/tex]



Answer :

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.