Multiply a 2-digit number by a larger number: word problems

Learning Objectives Identify multiplication word problems involving 2-digit and larger numbers. Translate word problems into numerical multiplication expressions. Apply standard multiplication algorithms (e.g., partial products, standard algorithm) to solve problems involving 2-digit and larger numbers. Estimate products to check the reasonableness of their answers. Interpret the product in the context of the word problem. Solve multi-step word problems that include multiplication of 2-digit and larger numbers. Ever wonder how stores calculate the total cost of many items, or how many pages are in a stack of books? 🤔 It's all about multiplying! In this lesson, you'll learn how to tackle word problems that require multiplying a 2-digit number by a larger number. T...

TermDefinitionExample MultiplicationA mathematical operation that represents repeated addition of the same number. It combines equal groups.If you have 3 groups of 5 apples, multiplication (3 x 5) tells you there are 15 apples in total. ProductThe result obtained when two or more numbers are multiplied together.In the equation 7 x 8 = 56, the number 56 is the product. FactorA number that is multiplied by another number to get a product.In the equation 7 x 8 = 56, both 7 and 8 are factors. Word ProblemA mathematical problem presented in a narrative or story format, requiring you to identify the operation(s) needed to solve it.If a bus carries 45 passengers and makes 12 trips, how many passengers are carried in total? This is a word problem. EstimateTo find an approximate value or quantity,...

Commutative Property of Multiplication $a \times b = b \times a$ The order in which two numbers are multiplied does not affect their product. This means you can multiply a 2-digit number by a larger number, or vice versa, and get the same result. Distributive Property of Multiplication $a \times (b + c) = (a \times b) + (a \times c)$ This property allows you to break down multiplication problems. For example, to multiply 25 by 130, you can think of 130 as (100 + 30) and multiply 25 by 100, then 25 by 30, and add the results. This is the basis for methods like partial products. Multiplication Algorithm Principle To multiply a 2-digit number by a larger number, multiply each digit of the larger number by each digit of the 2-digit number, respecting place values, and then...