Patti is using mental math to evaluate the expression (70+12.8+30)+6.1. She recognizes that the expression will be easier to simplify if she can combined 70 and 30 before she works with other numbers. How do the properties of operation allow pattie to take that approach?
Accepted Solution
A:
Answer: Explanation is given below. Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.We will be using the following associative property of real numbers:[tex](a+b+c)+d=(a+c)+(b+d).[/tex]Therefore, the simplification is as follows:[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]Hence explained.