Fundamentals of Mathematics, 2008a

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3.3.2.1 Sample Set A
If possible, determine the value of each of the following.
Example 3.9
9 + (3 · 8)
Since 3 and 8 are within parentheses, they are to be combined rst.
9 + (3 · 8) = 9 + 24
Thus,
9 + (3 · 8) = 33
Example 3.10
(10 ÷ 0) · 6
= 33
Since 10 ÷ 0 is undened, this operation is meaningless, and we attach no value to it. We write,
"undened."
3.3.2.2 Practice Set A
If possible, determine the value of each of the following.
Exercise 3.3.1 (Solution on p. 202.)
16 − (3 · 2)
Exercise 3.3.2 (Solution on p. 202.)
5 + (7 · 9)
Exercise 3.3.3 (Solution on p. 202.)
(4 + 8) · 2
Exercise 3.3.4 (Solution on p. 202.)
28 ÷ (18 − 11)
Exercise 3.3.5 (Solution on p. 202.)
(33 ÷ 3) − 11
Exercise 3.3.6 (Solution on p. 202.)
4 + (0 ÷ 0)
3.3.3 Multiple Grouping Symbols
When a set of grouping symbols occurs inside another set of grouping symbols, we perform the operations
within the innermost set rst.
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