Sure, let’s break down the operations step-by-step to find the correct expression.
1. Add 8 to 5:
- Start with the number 5.
- Add 8 to 5.
- This gives us: [tex]\( 5 + 8 = 13 \)[/tex].
2. Multiply 3 by the result of the addition:
- We have the result of the addition, which is 13.
- Now, multiply this result by 3.
- This gives us: [tex]\( 3 \times 13 = 39 \)[/tex].
We need to identify which of the given options correctly represents this sequence of operations:
- [tex]$3 \times 5 + 8$[/tex]: This means [tex]\( (3 \times 5) + 8 \)[/tex], which is 15 + 8 = 23.
- [tex]$(3 \times 8) + 5$[/tex]: This means [tex]\( (3 \times 8) + 5 \)[/tex], which is 24 + 5 = 29.
- [tex]$3 \times (5 + 8)$[/tex]: This means [tex]\( 3 \times (5 + 8) \)[/tex], which is [tex]\( 3 \times 13 = 39 \)[/tex].
- [tex]$5 + 8 \times 3$[/tex]: This means [tex]\( 5 + (8 \times 3) \)[/tex], which is 5 + 24 = 29.
From these operations, the correct expression that accurately follows the sequence of adding 8 to 5 and then multiplying 3 by the result of the addition is [tex]\( 3 \times (5 + 8) \)[/tex].
So the correct option is:
[tex]\[ 3\! \times\! (5\! +\! 8) \][/tex]
Thus, the correct option is:
[tex]\[ \text{Option 3: } 3 \times (5 + 8) \][/tex]
