“decomposing” in mathematics refers to breaking down numbers into their component parts. This concept is often taught in elementary school to help students understand the structure of numbers, and it can be applied to a variety of mathematical concepts, including addition and subtraction, multiplication, and division.

Here’s a simple example to illustrate the concept of decomposing. Let’s say we have the number 5, and we want to decompose it for an addition problem.

- First, we consider all the different ways that we could add two numbers together to get 5.
- 5 = 1 + 4
- 5 = 2 + 3
- 5 = 3 + 2
- 5 = 4 + 1
- 5 = 5 + 0
- 5 = 0 + 5

- Each of these pairs represents a different way to decompose the number 5.

Now, if you are using a worksheet with cups and you’re asked to decompose numbers, it would work in a similar way.

Let’s say you have 8 cups, and you need to decompose this number.

- Begin by considering all the ways you could split the 8 cups into two groups.
- 8 cups = 1 cup + 7 cups
- 8 cups = 2 cups + 6 cups
- 8 cups = 3 cups + 5 cups
- 8 cups = 4 cups + 4 cups
- 8 cups = 5 cups + 3 cups
- 8 cups = 6 cups + 2 cups
- 8 cups = 7 cups + 1 cup
- 8 cups = 8 cups + 0 cups
- 8 cups = 0 cups + 8 cups

- Each of these pairs is a different way to decompose the number 8, using cups.

The purpose of this exercise is to help you understand how numbers can be broken down into smaller parts, which is a foundational concept in mathematics. Once you understand how to decompose numbers, you can use this skill to solve more complex math problems, like adding and subtracting larger numbers or understanding multiplication and division.

## Printable Addition Decomposing Worksheets

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