Question

The distributive property states that you can distribute the contents of one parentheses into the other to find an answer. Let's first break down the larger number in the second parentheses: 400 + 10 + 5. Then, let's multiply all those numbers by 3.

a) 400×3=1200400×3=1200
b) 10×3=3010×3=30
c) 5×3=155×3=15
d)none of the above

Answer 1

The distributive property allows us to multiply each term within the parentheses by a single term outside. Multiplying 400, 10, and 5 by 3 yields results of 1200, 30, and 15 respectively, for a total of 1245 when combined.

Step-by-step explanation:

The question involves using the distributive property to multiply a single term by each term within a set of parentheses. To do this accurately, we must apply the distributive property correctly. Here we have the expression 3 times the sum of 400, 10, and 5. Using the distributive property, we can multiply each term by 3.

• For 400, the calculation would be 400 × 3, which equals 1200.
• For 10, the calculation would be 10 × 3, which equals 30.
• For 5, the calculation would be 5 × 3, which equals 15.

Therefore, the correct answer to the given question, using the distributive property, is composed of 1200 from part a, 30 from part b, and 15 from part c, summing up to a total of 1245 when added together.