Multiply using the distributive property

Learning Objectives Define the distributive property in their own words. Break apart a larger factor into two smaller, friendly numbers (e.g., 5s, 10s, 2s). Apply the distributive property to solve multiplication problems with one- and two-digit factors. Model the distributive property using an array. Explain how the distributive property makes solving difficult multiplication facts easier. How can you solve a tricky multiplication problem like 7 x 8 if you don't know the answer right away? 🤔 Let's learn a cool math trick to break it down! In this lesson, you will learn about a special math rule called the distributive property. It's a strategy that helps you 'break apart' big multiplication problems into smaller, easier ones you already know. This t...

TermDefinitionExample Distributive PropertyA math rule that says multiplying a number by a group of numbers added together is the same as doing each multiplication separately and then adding the answers.To solve 6 x 9, you can do 6 x (5 + 4). The distributive property says this is the same as (6 x 5) + (6 x 4). FactorThe numbers that are multiplied together in a multiplication problem.In the problem 7 x 8 = 56, the numbers 7 and 8 are the factors. ProductThe answer to a multiplication problem.In the problem 7 x 8 = 56, the number 56 is the product. Break ApartTo split a number into two or more smaller numbers that add up to the original number. We usually break it into 'friendly' numbers that are easy to multiply.You can break apart the number 12 into 10 + 2. ArrayAn arrangement...

The Distributive Property Formula a \times (b + c) = (a \times b) + (a \times c) Use this rule when you want to solve a multiplication problem. You keep the first factor ('a') the same, break the second factor into two parts ('b + c'), multiply the first factor by each part, and then add the two products together. The Distributive Property (Order Switched) (b + c) \times a = (b \times a) + (c \times a) This shows that the rule works even if the factor you break apart comes first. You multiply each part of the broken-apart factor by the second factor ('a') and then add the products.