The question in the image asks which expression represents a number that is four times as large as the sum of 8 and 160.

Step 1: Calculate the sum of 8 and 160. $8 + 160 = 168$

Step 2: Find an expression that is four times this sum: $4 \times 168$

Looking at the options:

• Option 1: $(160 + 8) \div 4$ → This divides the sum by 4, not multiplies.
• Option 2: $(160 \times 8) \div 4$ → This multiplies 160 by 8, which is incorrect.
• Option 3: $(160 - 8) \div 4$ → This subtracts and divides, also incorrect.
• Option 4: $(160 + 8) \times 4$ → This multiplies the correct sum by 4, which matches the requirement.

Therefore, Option 4 $(160 + 8) \times 4$ is the correct answer.

Would you like further clarification on the steps? Here are five related questions to consider:

1. How do you multiply numbers by constants to adjust their size?
2. What does it mean for a number to be "four times as large" as another?
3. How can parentheses affect the order of operations in math expressions?
4. Why is division the incorrect operation here if you're looking to increase size?
5. How would you verify other options step by step?

Tip: Always perform operations inside parentheses first, according to the order of operations (PEMDAS).