Answer:
Problem 1:
5 · (−4/3) · (2/5)
= (−4/3) · 5 · (2/5) <em>Conmutative Property of Multiplication</em>
= (−4/3) · (5 · (2/5)) <em>Associative Property of Multiplication</em>
= (−4/3) · (2/1) = −8/3 = −2*2/3<em> Multiplied fractions and extracted common factor</em>
Problem 2:
17 + 29 + 3+ 1
= 17 + 3 + 29 + 1 <em>Conmutative Property of Addition</em>
= (17 + 3) + (29 + 1) <em>Associative Property of Addition</em>
= 20 + 30 Added groups
= 50 Added terms
Step-by-step explanation:
<u>For the Problem 1:</u>
In the first step, Hilda applied the <em>Conmutative Property of Multiplication</em>, because she changed the order of the numbers in the product
In the second step, she applied the <em>Associative Property of Multiplication, </em>because she agrouped the product of 5 and<em> </em>2/5 to perform it sepparately
In the third step, she calculated<em> the product of the fractions</em> -4/3 and 2/1, then she extracted 2 as a <em>common factor</em> to express the fraction as -2*2/3
<u>For the Problem 2:</u>
In the first step, Hilda applied the <em>Conmutative Property of Addition, </em>because she changed the order of the numbers in the sum
In the second step, she applied the<em> Associative Property of Addition, </em>because she associated the addition of 17 and 3 and the addition of 29 and 1, to calculate them in groups.
<em />
it is a rational number.