# 1.4.the.distrib.prop - The Distributive Property allows you...

• Notes
• 12

This preview shows page 1 - 5 out of 12 pages.

The preview shows page 3 - 5 out of 12 pages.
The Distributive Property allows you to multiply each number insidea set of parenthesis by a factor outside the parenthesis and find the sumor difference of the resulting products.To distribute means to separate or break apart and then dispenseevenly.Sometimes it is faster and easier to break apart a multiplicationproblem and use the distributive property to solve or simplify theproblem using mental math strategies.The distributive property is linked to factoring. When you factorproblems, you identify what numbers or variables the problem has incommon. When you distribute, you multiply the common numbers orvariables to the numbers that have been grouped together.
DistributivePropertyFor 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 isseparated by parentheses andthere are no other operationsymbols – it means to distributebymultiplyingthe numbers orvariables together.Find the sum (add) ordifference (subtract) of thedistributed products.Notice that it doesn’t matter which side of theexpression the letterais written on because of thesymmetric property which states for any realnumbers a and b; if a = b, then b = a.If a(b + c) = ab+ ac, then ab + ac = a(b + c)
Or use theDistributivePropertyFor 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 67939676×60Multiply 679Break apart the number 67 into (60 +7) –the value of this number is stillthe same.

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 12 pages?