Multiply using the distributive property

Learning Objectives Identify the distributive property in multiplication expressions. Decompose a multi-digit number into a sum or difference of simpler numbers. Apply the distributive property to multiply a one-digit number by a two-digit number. Apply the distributive property to multiply a one-digit number by a three-digit number. Solve multiplication problems using the distributive property as a mental math strategy. Explain how the distributive property simplifies complex multiplication problems. Ever wonder how to multiply big numbers in your head or make tough problems easier? 🤔 Get ready to learn a super useful math trick! In this lesson, you'll discover the distributive property, a powerful tool that lets you break down multiplication problems into smaller, e...

TermDefinitionExample MultiplicationA mathematical operation that involves combining equal groups or repeatedly adding a number to itself.3 groups of 4 is 12, written as 3 × 4 = 12. Distributive PropertyA property that states multiplying a number by a sum (or difference) is the same as multiplying the number by each part of the sum (or difference) and then adding (or subtracting) the products.5 × (2 + 3) is the same as (5 × 2) + (5 × 3). FactorA number that is multiplied by another number to get a product.In 6 × 7 = 42, the numbers 6 and 7 are factors. ProductThe result or answer obtained when two or more numbers are multiplied together.In 6 × 7 = 42, the number 42 is the product. SumThe result or answer obtained when two or more numbers are added together.In 5 + 3 = 8, the number 8 is th...

Distributive Property of Multiplication over Addition $$a \times (b + c) = (a \times b) + (a \times c)$$ This rule shows that when you multiply a number 'a' by a sum of two numbers (b + c), you can multiply 'a' by 'b' and 'a' by 'c' separately, then add those two products together. This is useful for breaking down larger numbers into easier-to-multiply parts. Distributive Property of Multiplication over Subtraction $$a \times (b - c) = (a \times b) - (a \times c)$$ Similar to addition, if you multiply a number 'a' by a difference of two numbers (b - c), you can multiply 'a' by 'b' and 'a' by 'c' separately, then subtract the second product from the first. This is especially he...