Multiply using the distributive property

Learning Objectives Identify expressions that can be simplified using the distributive property. Apply the distributive property to multiply a number by a sum. Apply the distributive property to multiply a number by a difference. Simplify algebraic expressions involving the distributive property. Recognize when the distributive property can simplify mental calculations. Solve real-world problems using the distributive property. Ever wonder how to multiply big numbers in your head, or simplify tricky math problems with parentheses? 🤔 The distributive property is your secret weapon! In this lesson, you'll learn a powerful tool called the distributive property. It helps us break down multiplication problems into simpler parts, making them easier to solve, especially when...

TermDefinitionExample DistributeIn mathematics, to 'distribute' means to multiply a factor outside parentheses by each term inside the parentheses.In the expression 4(x + 3), you distribute the 4 to both x and 3. TermA single number, a variable, or numbers and variables multiplied together. Terms are separated by addition or subtraction signs.In the expression 5x + 7, '5x' is a term and '7' is a term. FactorA number or expression that is multiplied by another number or expression to get a product.In 3 * 4, both 3 and 4 are factors. In 2(y + 5), both 2 and (y + 5) are factors. ProductThe result of multiplication.The product of 6 and 7 is 42. SumThe result of addition.The sum of 8 and 2 is 10. DifferenceThe result of subtraction.The difference between 10 and 3...

Distributive Property (Addition) $$a(b + c) = ab + ac$$ To multiply a number 'a' by a sum '(b + c)', you multiply 'a' by each term inside the parentheses ('b' and 'c') and then add the products. Distributive Property (Subtraction) $$a(b - c) = ab - ac$$ To multiply a number 'a' by a difference '(b - c)', you multiply 'a' by each term inside the parentheses ('b' and 'c') and then subtract the products.