when multiplying a sum of two numbers by a third number, we can add the two numbers and then multiply by the third number, or we can multiply each number of the dumb by the third number and then add the two products
Yes, you are correct. The order of operations doesn't affect the result when multiplying a sum of two numbers by a third number. You can either add the two numbers first and then multiply by the third number or multiply each number by the third number separately and then add the two products. The distributive property of multiplication over addition guarantees that both methods will give the same result.
When multiplying a sum of two numbers by a third number, there are two different methods:
Method 1: Add first, then multiply
- Step 1: Add the two numbers together.
- Step 2: Multiply the sum by the third number.
Method 2: Multiply each number individually, then add
- Step 1: Multiply the first number by the third number.
- Step 2: Multiply the second number by the third number.
- Step 3: Add the two products together.
Both methods will give you the same result, as multiplication is associative. This means that changing the order of the numbers being multiplied does not affect the final outcome.
When multiplying a sum of two numbers by a third number, there are two ways to approach it. Let's break it down step by step:
1. To add the two numbers and then multiply by the third number:
- First, add the two numbers together.
- Next, take the result of the addition and multiply it by the third number.
2. To multiply each number of the sum by the third number and then add the two products:
- First, multiply the first number by the third number.
- Next, multiply the second number by the third number.
- Finally, add the two products together.
Both methods will give you the same result, as they are essentially applying the distributive property of multiplication over addition. This property states that multiplying a number by a sum is equivalent to multiplying the number by each term in the sum and then adding the products.
You can choose the method that you find more intuitive or convenient. It's important to remember that regardless of the approach, the final result should be the same.