# 10X(2+6) and (10X2)+6

are these two expressions equivalent? and how would I explain how parenthese are used in this question?

### Comments for 10X(2+6) and (10X2)+6

 Nov 11, 2011 The Distributive Law by: Staff Question: are these two expressions equivalent? and how would I explain how parentheses are used in this question? Answer: 10X(2+6) and (10X2)+6 These two expressions are NOT equivalent. You can use the Distributive Law to compare the two expressions: The Distributive Property allows you to simplify an expression containing parentheses to an expression without parentheses. 10 * (2 + 6) = 10 * 2 + 10 * 6 The distributive law is often applied to mental math. For example, multiply 5 times 723 without writing it down. You can spit the 723 into three parts to make the problem easier. 5 * 723 = 5 * (700 + 20 + 3) Splitting the number 723 into the three parts is called Decomposing the Multiplier. Now multiply each part of the problem separately using the distributive law: 5 * (700 + 20 + 3) = 5 * 700 + 5 * 20 + 5 * 3 = 3500 + 100 + 15 As a last step, add the three parts together: 3500 + 100 + 15 = 3615 The distributive law is not only important as an aid to arithmetic, is will be very important to you in solving algebra problems. Thanks for writing. Staff www.solving-math-problems.com