Table of Contents

- 1 What is the break apart method in multiplication?
- 2 Is distributive property the same as partial products?
- 3 How can I communicate multiplication partial products?
- 4 How do you find the partial products in math?
- 5 When do you break a number apart it is called?
- 6 Why is it important for students to break apart arrays?

## What is the break apart method in multiplication?

What is the break apart method? You break one or more of the numbers into parts to make the multiplication easier. It also demonstrates why you would “carry” a number over to the next column.

## Is distributive property the same as partial products?

Distributive property: A property of multiplication that can be used to create an easier problem. Partial products: The result of decomposing a multiplication expression into smaller parts. For example, we can decompose 24 × 6 into the partial products of 20 × 6 and 4 × 6.

**What multiplication makes 34?**

34 = 1 x 34 or 2 x 17. Factors of 34: 1, 2, 17, 34.

### How can I communicate multiplication partial products?

- Multiply the tens and ones separately. Then add to get the final answer.
- Fill in the missing numbers. Write the area of the whole rectangle as a SUM of the areas of the smaller rectangles.
- It’s your turn to draw.
- Break the second factor into tens and ones.
- Multiply in parts.
- Compare.
- Solve.

### How do you find the partial products in math?

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.) For instance, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).

**What is the partial product model?**

When your child first learns to multiply two two-digit numbers, she will use the area model. This visual tool illustrates how to decompose numbers and find four different products. Then, ones times tens and last, ones times ones. These are called partial products.

## When do you break a number apart it is called?

In math, when you break a number apart, it’s called decomposing. To see this in action, try to think of all the different ways to make 7. The two parts you may have come up with that made 7 could have been 4 + 3, 2 + 5, 0 + 7, or 1 + 6. These different parts are decomposed numbers from 7.

## Why is it important for students to break apart arrays?

It’s also important that students know they can break apart a multiplication problem (an array) in order to make the problem simpler to solve. You can start by asking students a simple question and entertain answers and discuss openly as a whole class or in small groups.

**How are all numbers broken down in math?**

All numbers can be broken down into parts. You may have first experienced this when you were learning your addition math facts and families and studying the two parts that make up a number. In math, when you break a number apart, it’s called decomposing. To see this in action, try to think of all the different ways to make 7.