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4251
0011 0010 1010 1101 0001 0100 1011
TEKS 6.2E
Lesson 6 (2nd 6 Weeks)
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0011 0010 1010 1101 0001 0100 1011
• The order in which operations are computed in an expression.
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0011 0010 1010 1101 0001 0100 1011
• Follow this order of operations: STEP 1: Simplify any operations in
parentheses and brackets. If there is more than one operation within a set of parentheses, follow the order of operations in steps 2, and 3.
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0011 0010 1010 1101 0001 0100 1011
• STEP 2: Calculate all multiplication and division from left to right.
• STEP 3: Calculate all addition and subtraction from left to right.
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0011 0010 1010 1101 0001 0100 1011
• A phrase that is helpful in remembering the order of operations is: “Please Excuse My Dear Aunt Sally”
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0011 0010 1010 1101 0001 0100 1011
Please (Parentheses, first)
Excuse (Exponents-we don’t do)
My Dear (Multiply and Divide from Left to Right)
Aunt Sally (Add and Subtract from Left to Right)
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• Remember: Multiplication is not always done before division. Work left to right. Whichever one comes first, is done first. Same for addition and subtraction.
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0011 0010 1010 1101 0001 0100 1011
53621 53621 53621
5327
5945
53621 5221 5221
102131
5327
Performing operations left to right only
Performing operations using order of operations
The rules for order of operations exist so that everyone can perform the same consistent operations and achieve the same results. Method 2 is the correct method.
The rules for order of operations exist so that everyone can perform the same consistent operations and achieve the same results. Method 2 is the correct method.
Can you imagine what it would be like if calculations were performed differently by various financial institutions or what if doctors prescribed different doses of medicine using the same formulas and achieving different results?
Can you imagine what it would be like if calculations were performed differently by various financial institutions or what if doctors prescribed different doses of medicine using the same formulas and achieving different results?
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Simplify the Expression12÷3+4·6-2·3
• 1. There are no parentheses
• 2. Multiply and divide from left to right.
12÷3+4·6-2·3
4 24 6+ -
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0011 0010 1010 1101 0001 0100 1011
3. Add and subtract from left to right.
4+24-6
28-6
22
4. The expression simplifies to 22.
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0011 0010 1010 1101 0001 0100 1011
1. (8+3)-5 -5
6
11
A good rule of thumb is to
underline the part of the
expression that you are doing
first.
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0011 0010 1010 1101 0001 0100 1011
2. 24 - (19 - 19) 24 –
240
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0011 0010 1010 1101 0001 0100 1011
3. 5 x 8 - 3 x 4
28
-1240
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0011 0010 1010 1101 0001 0100 1011
4. 3 + 5 · 4
23
3 +20
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5. (24 - 10) - 3 · 3
5
– 3 · 314-
149
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0011 0010 1010 1101 0001 0100 1011
6. 4(22-18÷3) · 5
64
4(22- )· 5
·5
616 4· · 5
320
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0011 0010 1010 1101 0001 0100 1011
7. 3(18 - 12) - (5 - 3)
16
3 x -
- 2
6
18
2
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0011 0010 1010 1101 0001 0100 1011
If a = 5 and b = 4, solve 5a – 3b
13
5 x – 3 x -25 12
a b5 4
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0011 0010 1010 1101 0001 0100 1011
A family of five is going to the zoo. Adult tickets are $7 each and children’s tickets are $5 each.
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0011 0010 1010 1101 0001 0100 1011
Write an equation to find c, the total cost of going to the zoo if you buy two adult and three children’s tickets.
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0011 0010 1010 1101 0001 0100 1011
Solve the equation you wrote.
(2 x 7) + (3 x 5) = c
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(2 x 7) + (3 x 5) = c
+ = c
$ 29 = c
14 15