Exercise 35 Page 22

We can use the Additive Inverse Property to rewrite the sum of - 1.4 and 1.4 as 0. (- 1.4+1.4)+(- 3.3)+2.5 [0.35em] ⇕ [0.35em] 0+(- 3.3)+2.5 Next, we will use the Addition Property of Zero to simplify the expression even further. 0+(- 3.3)+2.5 ⇔ - 3.3+2.5 Looking at our expression, we can see that the remaining addends have different signs. This means that the sum should have the sign of the decimal with the greater absolute value. We can start by calculating the absolute value of both addends. |- 3.3|=3.3and|2.5|=2.5 The absolute value of - 3.3 is greater than the absolute value of 2.5. This means that our sum will be a negative number. Let's evaluate our expression! - 3.3+2.5 ⇔ - 0.8 The profit from 2013 to 2016 is - 0.8 thousand dollars.

Determine the 2017 Profit

The county fair wants to break even over the five-year period. This means that the sum of the profit over the four-year period, - 0.8 thousand dollars, and the profit in 2017 should equal 0. - 0.8+?=0 By the Additive Inverse Property, we know that the sum of - 0.8 and its opposite, 0.8, is equal to 0. This means that the 2017 profit should be 0.8 thousand dollars to break even.

Convert the 2017 Profit From Thousands To Hundreds

We want to convert the 2017 profit, 0.8 thousand dollars, to hundreds of dollars. We can do this by multiplying 0.8 by 10. Let's do it! 0.8* 10 = 8 The county fair should make 8 hundred dollars in profit in 2017 profit in order to break even.