Exercise 5 Page 169

To evaluate the given numeric expression, we need to remember the order of operations. The acronym PEMDAS can help with that! First we simplify calculations that are in parentheses. Second, we calculate exponents and roots. Then, we simplify multiplication and division, which are solved on the same level of importance and from left to right. Finally, we calculate addition and subtraction, which are also on the same level of importance, from left to right. Let's now consider our expression. [ ( 2 * 10^0 ) ÷ 13 ] + 8 We first need to simplify the value of the expression in the parentheses. Within the parentheses, we first need to calculate the exponent expression. Recall that any non-negative number raised to a power of 0 is equal to 1. [(2* 10^0)÷ 13] +8 calculate power ⟶ [(2* 1)÷ 13] +8 Next, we can calculate the product. [(2* 1)÷ 13] +8 multiply ⟶ [2÷ 13] +8 Now we can calculate the quotient in the brackets. To do it, recall that dividing by a fraction is the same as multiplying by its inverse.

[2÷ 13] +8

DivToFrac

a÷ b=a/b

[2/1/3] +8

DivByFracD

a/b/c= a * c/b

[ 2* 31] +8

Multiply

Multiply

[ 61] +8

DivByOne

a/1=a

6+8

Finally, we can finish evaluating our expression by adding 6 to 8. 6+8 add ⟶ 14