Relate addition and multiplication

Learning Objectives Define multiplication as repeated addition. Write an addition sentence that matches a given multiplication sentence. Write a multiplication sentence that matches a given repeated addition sentence. Use models like arrays and equal groups to show the relationship between addition and multiplication. Solve simple multiplication problems by using repeated addition. Explain why 4 + 4 + 4 is the same as 3 x 4. If you have 4 boxes of crayons and each box has 8 crayons, how could you find the total? 🖍️ Would you add or multiply? In this lesson, you'll discover that multiplication is a super-fast way to do addition over and over again! We will learn how to change addition problems into multiplication problems and see how they are connected. This cool trick...

TermDefinitionExample Repeated AdditionAdding the same number over and over again.5 + 5 + 5 is repeated addition because you are adding the number 5 three times. MultiplicationA fast way to do repeated addition of equal groups.Instead of 5 + 5 + 5, you can write 3 x 5. Equal GroupsGroups that have the exact same number of items in them.3 bags with 4 apples in each bag are equal groups. FactorThe numbers that are multiplied together in a multiplication problem.In 3 x 4 = 12, the numbers 3 and 4 are the factors. ProductThe answer to a multiplication problem.In 3 x 4 = 12, the number 12 is the product. ArrayAn arrangement of objects in equal rows and columns.A muffin tin with 3 rows of 4 muffins is an array that shows 3 x 4.

The Repeated Addition Rule a + a + ... + a (n times) = n \times a When you add the same number ('a') together a certain number of times ('n'), you can find the total by multiplying the number of times ('n') by the number itself ('a'). Identifying the Factors (Number Of Groups) \times (Number In Each Group) = Product In a repeated addition problem, the first factor is the number of times you add. The second factor is the number you are adding.