Multiply 2-digit numbers by 2-digit numbers

Learning Objectives Recall basic multiplication facts up to 9x9. Understand the concept of partial products in multiplication. Apply the standard algorithm to multiply two 2-digit numbers. Accurately multiply a 2-digit number by a 2-digit number using place value. Solve real-world problems involving 2-digit by 2-digit multiplication. Estimate products to check the reasonableness of their answers. Ever wondered how many cookies you'd need for 12 friends if each wanted 15? 🍪 Or how many total seats are in a theater with 25 rows of 30 seats? Let's find out! In this lesson, you'll learn a powerful method to multiply two-digit numbers by other two-digit numbers. This skill is super useful for solving everyday problems, from calculating costs to planning events, m...

TermDefinitionExample FactorA number that is multiplied by another number to find a product.In $12 imes 15 = 180$, 12 and 15 are the factors. ProductThe result or answer when two or more numbers are multiplied together.In $12 imes 15 = 180$, 180 is the product. Place ValueThe value of a digit based on its position in a number (e.g., in 23, the '2' is in the tens place and has a value of 20).In the number 47, the '4' has a place value of 40 (4 tens), and the '7' has a place value of 7 (7 ones). Partial ProductThe product obtained when multiplying one digit of the multiplier by the entire multiplicand. These are then added together to find the final product.When multiplying $23 imes 12$, $23 imes 2 = 46$ is a partial product, and $23 imes 10 = 230$ is anot...

Multiply by the Ones Digit $( ext{Multiplicand}) imes ( ext{Ones Digit of Multiplier})$ First, multiply the top number (multiplicand) by the ones digit of the bottom number (multiplier). Write this first partial product below the line, remembering to regroup any tens to the next place value. Multiply by the Tens Digit (with Place Holder) $( ext{Multiplicand}) imes ( ext{Tens Digit of Multiplier} imes 10)$ Next, before multiplying by the tens digit of the multiplier, place a zero in the ones place of the next row. Then, multiply the multiplicand by the tens digit. Write this second partial product below the first, aligning by place value. Remember to regroup any tens. Add Partial Products $( ext{First Partial Product}) + ( ext{Second Partial Product})$ Finally, add...