To multiply a sum by a number multiply each addend by the number, and add the products,
That's correct! To multiply a sum by a number, you can use the distributive property of multiplication over addition. Here's a step-by-step explanation of how to do it:
1. Take the number you want to multiply the sum by.
2. Multiply each addend of the sum by that number.
3. Add all the products together.
Let me give you an example to illustrate this:
Suppose you want to multiply the sum (3 + 4) by 2.
Step 1: Take the number you want to multiply the sum by, which is 2.
Step 2: Multiply each addend of the sum by 2: 2 * 3 = 6, and 2 * 4 = 8.
Step 3: Add the products together: 6 + 8 = 14.
So, (3 + 4) multiplied by 2 equals 14.
Remember, this method follows the distributive property, which states that a * (b + c) = (a * b) + (a * c). By applying this property, you can multiply a sum by a number.