Multiply three numbers up to two digits each

Learning Objectives Apply the associative and commutative properties to simplify multiplication problems with three factors. Multiply two 2-digit numbers as a step in solving a larger problem. Systematically multiply three numbers up to two digits each in a step-by-step process. Solve word problems that require multiplying three numbers. Check the reasonableness of their answers using estimation. Break down a multiplication problem with three factors into two smaller, manageable multiplication steps. If a bakery has 10 trays of cookies, and each tray has 12 rows with 5 cookies in each row, how many cookies are there in total? 🍪 In this lesson, you will learn how to multiply three numbers together, even when they have two digits! This is a powerful skill that lets you solve...

TermDefinitionExample FactorA number that is multiplied with another number to get a product.In the problem 7 x 8 x 10 = 560, the numbers 7, 8, and 10 are all factors. ProductThe answer you get when you multiply numbers together.In 5 x 6 x 2 = 60, the number 60 is the product. Associative Property of MultiplicationThis property says you can change how you group the factors and the product will stay the same.(2 x 5) x 6 is the same as 2 x (5 x 6). Both equal 60. Commutative Property of MultiplicationThis property says you can change the order of the factors and the product will stay the same.4 x 10 x 5 is the same as 4 x 5 x 10. Both equal 200. Partial ProductThe result of one step in a multi-step multiplication problem. You add partial products to get the final product.To solve 14 x 25, y...

The Two-Step Process (a \times b) \times c = \text{Product} To multiply three numbers, you first multiply any two of them together. Then, you take that result and multiply it by the third number to get your final answer. Associative Property (The Grouping Rule) (a \times b) \times c = a \times (b \times c) This rule lets you choose which pair of numbers to multiply first. You can group the numbers in the way that is easiest for you to calculate. Commutative Property (The Ordering Rule) a \times b \times c = c \times a \times b This rule lets you change the order of the factors. It's very useful for putting numbers that are easy to multiply (like 5 and 2, or 25 and 4) next to each other.