Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. name the mathematical property, operation, or idea that justifies how hilda went from each step to the next step, some of the steps are done for you. look at the math notes found on page 190 for definitions. problem
problem 1: 5 · (−4/3) · (2/5)
= (−4/3) · 5 · (2/5)
= (−4/3) · (5 · (2/5))
= (−4/3) · (2/1) = −8/3 = −2*2/3
problem 2: 17 + 29 + 3+ 1
= 17 + 3 + 29 + 1
= (17 + 3) + (29 + 1)
= 20 + 30 added groups
= 50 added terms

The reason for each statement is shown below.

Step-by-step explanation:

Commutative Property of Multiplication:

Associative Property of Multiplication:

Commutative Property of Addition:

Associative Property of Addition:

Problem 1:

The given expression is

It can be written as

         (Commutative Property of Multiplication)

       (Associative Property of Multiplication)

       (Simplification)

Problem 2:

The given expression is

It can written as

        (Commutative Property of Addition)

       (Associative Property of Addition)

         (Added groups)

         (Added terms)