Exercise 38 Page 379

To evaluate the given numeric expression, we need to remember the order of operations. The acronym PEMDAS can help with that! Let's now consider our expression. 2 ( sqrt(80/5) - 5) We first need to simplify the value of the expression in the parentheses. Within the parentheses, we need to start by calculating the square root. To find the value of the root, we simplify its radicand, which in this case is a quotient 2(sqrt(80/5)-5) divide ⟶ 2(sqrt(16)-5) Next, we can calculate the square root. Because we know that 4^2=16, we know that sqrt(16)=4. 2(sqrt(16)-5) calculate root ⟶ 2(4-5) Now we can finish evaluating our expression. Remember, we need to fully simplify the expression inside the parentheses before we can do anything with the values found outside of them. Therefore, we will subtract the terms inside the parentheses before we multiply by the 2.

2(4-5)

AddTerms

Add terms

2(- 1)

MultPosNeg

a(- b)=- a * b

- 2(1)

IdPropMult

Identity Property of Multiplication

- 2