•The Distributive Property allows you to multiply each number inside a set of parenthesis by a factor outside the parenthesis and find the sum or difference of the resulting products.•To distribute means to separate or break apart and then dispense evenly. •Sometimes it is faster and easier to break apart a multiplication problem and use the distributive property to solve or simplify the problem using mental math strategies.•The distributive property is linked to factoring. When you factor problems, you identify what numbers or variables the problem has in common. When you distribute, you multiply the common numbers or variables to the numbers that have been grouped together.
Distributive PropertyFor any numbers a, b, and c,a(b + c) = ab + ac and (b + c)a = ba + bc;a(b - c) = ab - ac and (b - c)a = ba - bc;When a number or letter is separated by parentheses and there are no other operation symbols – it means to distribute by multiplyingthe numbers or variables together.Find the sum (add) or difference (subtract) of the distributed products. Notice that it doesn’t matter which side of the expression the letter ais written on because of the symmetric property which states for any real numbers a and b; if a = b, then b = a.If a(b + c) = ab + ac, then ab + ac = a(b + c)
Or use the Distributive Property For any numbers a, b, and c,a(b + c) = ab + ac and (b + c)a = ba + bc;a(b - c) = ab - ac and (b - c)a = ba - bc;Multiply 67 •939676×60Multiply 67 •9Break apart the number 67 into (60 + 7) – the value of this number is still the same.