Multiply 2-digit numbers by larger numbers

Learning Objectives Identify the place value of digits in multi-digit numbers. Multiply a 2-digit number by a 3-digit number using the standard algorithm. Multiply a 2-digit number by a 4-digit number using the standard algorithm. Correctly apply regrouping (carrying) in multi-digit multiplication. Accurately add partial products to find the final product. Solve real-world problems involving multiplication of 2-digit by larger numbers. Ever wonder how stores calculate the total cost when they sell many items at the same price? 🛍️ It's all about multiplying larger numbers! In this lesson, you'll learn powerful strategies to multiply 2-digit numbers by even larger numbers, like 3-digit or 4-digit numbers. This skill is super useful for solving everyday problems and...

TermDefinitionExample ProductThe result or answer obtained when two or more numbers are multiplied together.In $5 imes 3 = 15$, the number 15 is the product. FactorA number that is multiplied by another number to get a product.In $5 imes 3 = 15$, the numbers 5 and 3 are factors. MultiplicandThe number being multiplied in a multiplication problem (often the top number in vertical multiplication).In $123 imes 45$, the number 123 is the multiplicand. MultiplierThe number by which another number is multiplied (often the bottom number in vertical multiplication).In $123 imes 45$, the number 45 is the multiplier. Partial ProductThe product obtained when multiplying the multiplicand by a single digit of the multiplier. These are then added together to get the final product.When multiplying $...

Standard Multiplication Algorithm (Step 1: Multiply by Ones Digit) $ \text{Partial Product}_1 = \text{Multiplicand} \times \text{Ones Digit of Multiplier} $ Start by multiplying the ones digit of the bottom number (multiplier) by each digit of the top number (multiplicand), starting from the right. Write down the result, remembering to regroup (carry) any tens to the next place value column. Standard Multiplication Algorithm (Step 2: Multiply by Tens Digit) $ \text{Partial Product}_2 = (\text{Multiplicand} \times \text{Tens Digit of Multiplier}) \times 10 $ Before multiplying by the tens digit of the multiplier, place a zero in the ones place of the second partial product as a placeholder. Then, multiply the tens digit of the bottom number by each digit of the top number, re...