TEKS 6.2E Lesson 6 (2 nd 6 Weeks) The order in which operations are computed in an expression.
Transcript of TEKS 6.2E Lesson 6 (2 nd 6 Weeks) The order in which operations are computed in an expression.
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TEKS 6.2E
Lesson 6 (2nd 6 Weeks)
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• The order in which operations are computed in an expression.
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• 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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• 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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• A phrase that is helpful in remembering the order of operations is: “Please Excuse My Dear Aunt Sally”
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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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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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3. Add and subtract from left to right.
4+24-6
28-6
22
4. The expression simplifies to 22.
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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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2. 24 - (19 - 19) 24 –
240
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3. 5 x 8 - 3 x 4
28
-1240
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4. 3 + 5 · 4
23
3 +20
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5. (24 - 10) - 3 · 3
5
– 3 · 314-
149
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6. 4(22-18÷3) · 5
64
4(22- )· 5
·5
616 4· · 5
320
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7. 3(18 - 12) - (5 - 3)
16
3 x -
- 2
6
18
2
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If a = 5 and b = 4, solve 5a – 3b
13
5 x – 3 x -25 12
a b5 4
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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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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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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
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