Multiply three or more numbers up to 2 digits each

Learning Objectives Apply the associative property of multiplication to group factors strategically. Accurately multiply three numbers, where each factor is up to 2 digits. Accurately multiply four numbers, where each factor is up to 2 digits. Use estimation to check the reasonableness of their products when multiplying multiple numbers. Solve multi-step word problems involving the multiplication of three or more numbers. Demonstrate proficiency in using the standard algorithm for multi-digit multiplication within a sequence of operations. Ever wonder how many cookies you'd need for a huge party if each guest gets a few, and you have many guests coming? 🍪 That's a job for multiplying three or more numbers! In this lesson, you'll learn how to multiply three o...

TermDefinitionExample FactorA number that is multiplied by another number to get a product.In $2 imes 3 imes 5$, the numbers 2, 3, and 5 are factors. ProductThe result obtained when two or more numbers are multiplied together.In $2 imes 3 imes 5 = 30$, the number 30 is the product. Associative Property of MultiplicationThis property states that when multiplying three or more numbers, the way the numbers are grouped (using parentheses) does not change the product.$(2 imes 3) imes 5 = 6 imes 5 = 30$, and $2 imes (3 imes 5) = 2 imes 15 = 30$. The product is the same. Partial ProductsThe products obtained at each step when multiplying multi-digit numbers using the standard algorithm, before adding them together to get the final product.When multiplying $12 imes 34$, the partial pro...

Associative Property of Multiplication $(a \times b) \times c = a \times (b \times c)$ This rule allows you to multiply numbers in any order or grouping when you have three or more factors. You can choose to multiply any two numbers first, then multiply that result by the next number, and so on. This can simplify calculations by allowing you to group easier numbers together first. Step-by-Step Multi-Number Multiplication To multiply $a \times b \times c \times d \dots$: \newline 1. Multiply the first two numbers ($a \times b$). \newline 2. Take that product and multiply it by the next number ($ (a \times b) \times c$). \newline 3. Continue this process until all numbers have been multiplied. This is the fundamental process for multiplying multiple numbers. You perform multip...