Final answer:
The correct answer to fill in the blank in the equation 4 × 67 = (4 × _____) + (4 × 7) is 60, since 4 × 67 can be broken into (4 × 60) + (4 × 7), leading to the final answer of 268.
Step-by-step explanation:
Breakdown of the Multiplication Problem
To solve 4 × 67, we can break 67 into 60 + 7. Following the distributive property, we multiply 4 by each part separately. Hence, the equation looks like this: 4 × (60 + 7), which simplifies to (4 × 60) + (4 × 7).
Now, we perform the multiplication: (4 × 60) equals 240, and (4 × 7) equals 28. Adding these two products, we get 240 + 28, which gives us 268, the final answer. Therefore, the number that fits in the blank to make the equation correct is 60.
The correct answer from the given options is (a) 60.