Distributive property with exponents

1. Expand the equation.
2. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
3. Combine like terms.
4. Solve the equation and simplify, if needed.

## Why would you break apart an array into two smaller arrays?

Breaking apart arrays is another effective strategy for students who are learning multiplication, and helps model distributive property. 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.

## Why can you break apart numbers to multiply without changing the product?

The math rule that allows us to break up multiplication problems is called the distributive property. The distributive property says that in a multiplication problem, when one of the factors is rewritten as the sum of two numbers, the product does not change.

## What is the break apart strategy in multiplication?

What is the break apart method? You break one or more of the numbers into parts to make the multiplication easier.

## How do you break apart the factor 12?

First you need to go through all numbers 1 – 12 and see if they can be multiplied by each other to get 12.

1. Factor (1 * 12 = 12)
2. Factor (2 * 6 = 12)
3. Factor (3 * 4 = 12.
4. Factor (4 * 3 = 12)
5. Not a factor.
6. Factor (6 * 2 = 12)
7. Not a factor.
8. Not a factor.

## What is doubling multiplication strategy?

The doubling strategy is great for multiplication! “Multiply fifteen by four, then add four ones.” “Add together four groups of ten and four groups of six.” “Find four groups of twenty, then subtract four groups of four.” We want students to think as flexibly about numbers and operations as these teachers do.