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Numerical Expression:
Combination of numbers and operations
Examples:
20 3
4 2 5
(10 8) 9
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Complete Graphic Organizer Real World Link
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1. Simplify the expressions inside grouping symbols
2. Multiply and/or divide in order from left to right
3. Add and/ or subtract in order from left to right
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Example 1:
7 36 4 5
7 936 { }
7 14 1
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Example 2:
231244
44 15 2
44 30 14
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Order of Operations:Example 3:
2634
4 3 6 2
12 3 15
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Example 4:
60 15
2 7
(60 15) (2 7)
45 9
5
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2[(10 3) 6(5)]
2[7 6(5)]
2[7 30]2[37]
74
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When we beginWe begin together
Parenthesis first nowPlease be clever
Exponent come right nextIn line
Then Multiply and Divide At the same time
Now Subtraction and Addition
Walk it out with Computations
It’s the order of operationsIt’s the order of operationsAtion, ation, ation, eh, eh
Eh, eh operations!
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Order of Operations
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Add
Subtract
Multiply
Divide
Add More than; sum of; greater than; added to; increased by, plus
Subtract Less than; fewer than; subtracted from; minus; difference of; decreased by
Multiply Times; product of; multiplied by; “double” or “twice” means 2 times; half of means to multiply by 1/2;
Divide Divided by; quotient of;
Order is always left to right EXCEPT words with “than”
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Underline each word and translate the English into math
Put it all together at the end for your final answer
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n - 8
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n - 7
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n + 14
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n ÷ 4
4
n
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6 8
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Translate Summary
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