Question

Using the distributive property, what is the result of 3 × (400 + 10 + 5)?

a) 3600
b) 1245
c) 415
d) 1240

Answer 1

To find the result of 3 × (400 + 10 + 5) using the distributive property, distribute 3 to each term inside the parentheses and simplify the multiplication. Sum up the results to find the final answer.

Step-by-step explanation:

To find the result of 3 × (400 + 10 + 5) using the distributive property, we distribute the 3 to each term inside the parentheses:

3 × (400 + 10 + 5) = 3 × 400 + 3 × 10 + 3 × 5

Now we can simplify each multiplication:

3 × 400 = 1200

3 × 10 = 30

3 × 5 = 15

Lastly, we sum up the results:

1200 + 30 + 15 = 1245

So the result of 3 × (400 + 10 + 5) is 1245.