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order of operations

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this notes explain what exponents are and how to use with giving a chart on how they work.

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Do now: 41,502 is/isn't divisible by 3 because... 41,502 is divisible by 3
because the sum of 4+1+5+0+2=12, and 12 is divisible by 3.
If there are multiple operations inside parentheses, evaluate them using the
same order of operation. [ \begin{array}{l} \left(7 + 5\right) \div 2 + 8 = (7
+ 24) \div 2 + 8 = 32 \div 2 + 8 \ = 16 + 8 = 24 \end{array} ] - Exponents
are a shorthand for repeated multiplication of the same number.
Example: 43 = 2x2, 43 = 4x4x4
For any exponents that show up today
Two notations same purpose division sign/fraction sign 4÷1x(3+5) =
1/4x(3+5) = ?
1) 4+(2x83)-3 = 4+(2x64)-3 = 4+128-3
=132-3 = 129
2) 6 +3 = 6 +3 = 6 +3 = 2+3 = 5 (7-2) (7-4) 3

x x1 x2 x3
1 1 1 1
2 2 4 8
3 3 9 27
4 4 16 64
5 5 25 125
6 6 36 216
7 7 49 343
8 8 64 512
9 9 81 729
10 10 100 1,000

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School year
4
Uploaded on
September 2, 2026
Number of pages
1
Written in
2026/2027
Type
Class notes
Professor(s)
Mr.morgan
Contains
All classes
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