Warm Up

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Warm Up Perform the operations in order from
right to left then do it again and solve from
left to right. Do you notice a difference? 1.
8 4 2 2. 9 ? 3 1 3. 7 3 5 4. 20 4
6
10
28
9
11
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A numerical expression is a mathematical phrase
that includes only numbers and operation symbols.
Numerical Expressions 4 8 2 ? 6 371 203 2 5,006 ? 19
When you evaluate a numerical expression, you
find its value.
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When an expression has more than one operation,
you must know which operation to do first. To
make sure that everyone gets the same answer, we
use the order of operations.
ORDER OF OPERATIONS
1. Perform operations in parentheses. 2. Find the values of numbers with exponents. 3. Multiply or divide from left to right as ordered in the problem. 4. Add or subtract from left to right as ordered in the problem.
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1. Evaluate the expression.
15 10 2
15 10 2
15 5
10
6
2. Evaluate the expression. 9 (21 7) ? 5
9 (21 7) ? 5
9 3 ? 5
9 15
24
7
3. Evaluate the expression.
12 6 2
12 6 2
12 3
9
8
4. Evaluate the expression. 7 (24 6) ? 3
7 (24 6) ? 3
7 4 ? 3
7 12
19
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5. Evaluate the expression. 24 6 ? 4
16 6 ? 4
16 24
40
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6. Evaluate the expression. 42 3 ? 7
16 3 ? 7
16 21
37
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7. Mr. Kellett bought 6 used CDs for 4 each and
5 used CDs for 3 each. Evaluate the following
expression to find the amount Mr. Kellett spent
on CDs. 6 ? 4 5 ? 3
24 15
39
Mr. Kellett spent 39 on CDs.
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8. Ms. Nivia bought 4 new CDs for 8 each and 6
used CDs for 4 each. Evaluate the following
expression to find the amount Ms. Nivia spent on
CDs. 4 ? 8 6 ? 4
32 24
56
Ms. Nivia spent 56 on CDs.
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Lesson Quiz
Evaluate each expression. 1. 15 4 ? 2 2.
(12 5)2 10 3. 3 9 ? 2 5 4. 43 30
2 5. Chaz bought 4 football cards for 2 each
and 8 baseball cards for 3 each. Evaluate the
expression to find the amount Chaz spent on
cards 4 ? 2 8 ? 3.
23
39
16
49
32
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Evaluate the expression. 24 (9 6) ? 32
10
8 ? 9 10
72 10
62
15
Evaluate the expression. 32 (8 4) ? 22 12
8 ? 4 12
32 12
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