1) 4^2 +12-(5X10)
Parenthesis 4^2+12- 50
Exponents 16 + 12 - 50
Mult/Div 16 + 12 - 50
Add/Sub 28 - 50
-22
2) 10 - 5 X 10^2
Parenthesis 10 - 5 X 10^2
Exponents 10 - 5 X 100
Mult/Div 10 - 500
Add/Sub -490
3) (6+6)^2 + (8-4) X (6-2)
Parenthesis 12^2 + 4 X 4
Exponents 144 + 4 X 4
Mult/Div 144 + 16
Add/Sub 160
4) (6-3/3) + 4 - 4 + 12
Parenthesis (6-1) + 4 - 4 + 12
5 + 4 - 4 + 12
Exponents 5 + 4 - 4 + 12
Mult/Div 5 + 4 - 4 + 12
Add/Sub 9 - 4 + 12
5 + 12
17
5) 10^4 - 10^2 X 5 / 500
Parenthesis 10^4 - 10^2 x 5 / 500
Exponents 10,000 - 100 X 5 / 500
Mult/Div 10,000 - 500 / 500
10,000 - 1
Add/Sub 9,999
Robin Hinmon, owner, Brandywine Academic Services
Tuesday, February 9, 2010
Monday, February 8, 2010
Mad Math On Monday
One of the foundational concepts in mathematics is "Order of Operations". A useful mnemonic that often helps us to solve complex equations is: Please Excuse My Dear Aunt Sally.
P = Parentheses
E = Exponents
M/D = Multiplication / Division
A/S = Addition/Subtraction
In a given equation, any portion of the problem that is within the parentheses should be simplified first. The order of operations should also be followed within the parentheses.
Next, if there are exponents present, these should be simplified.
Multiplication and Division are handled together, in the order in which they appear in the equation, from left to right.
Similarly, addition and subtraction are handled together, from left to right, across the equation.
Let's try a few.....
1) 3^3 + (6 X 2) - 10 / 2
Parentheses 3^3 + 12 - 10 / 2
Exponents 9 + 12 - 10/2
Mult / Div 9 + 12 - 5
Add/Sub 21 - 5
16
2) (6 + 4) / 2 + 2^2 - 5
Parenthesis 10 / 2 + 2^2 - 5
Exponents 10 / 2 + 4 - 5
Mult / Div 5 + 4 - 5
Add / Sub 9 - 5
4
3) (10-8)^3 + 12 X 2 - 10
Parenthesis 2 ^3 + 12 X 2 - 10
Exponents 8 + 12 X 2 - 10
Mult/Div 8 + 24 - 10
Add / Sub 32 - 10
22
4) (10 X 2 - 5) + (3 + 4) X (4 x 2)
Parenthesis (5 - 5) + 7 X 8
0 + 7 X 8
Exponents
Mult/Div 0 + 56
Add/Sub 56
Need additional practice?
Try these on your own and check back tomorrow for the solutions.
1) 4^2 + 12 - (5 X 10)
2) 10 - 5 X 10^2
3) (6 + 6)^2 + (8 -4) X (6-2)
4) (6 - 3/3) + 4 - 4 + 12
5) 10^4 - 10^2 X 5 / 500
Robin Hinmon, owner, Brandywine Academic Services
http://www.BrandywineAcademicServices.com
P = Parentheses
E = Exponents
M/D = Multiplication / Division
A/S = Addition/Subtraction
In a given equation, any portion of the problem that is within the parentheses should be simplified first. The order of operations should also be followed within the parentheses.
Next, if there are exponents present, these should be simplified.
Multiplication and Division are handled together, in the order in which they appear in the equation, from left to right.
Similarly, addition and subtraction are handled together, from left to right, across the equation.
Let's try a few.....
1) 3^3 + (6 X 2) - 10 / 2
Parentheses 3^3 + 12 - 10 / 2
Exponents 9 + 12 - 10/2
Mult / Div 9 + 12 - 5
Add/Sub 21 - 5
16
2) (6 + 4) / 2 + 2^2 - 5
Parenthesis 10 / 2 + 2^2 - 5
Exponents 10 / 2 + 4 - 5
Mult / Div 5 + 4 - 5
Add / Sub 9 - 5
4
3) (10-8)^3 + 12 X 2 - 10
Parenthesis 2 ^3 + 12 X 2 - 10
Exponents 8 + 12 X 2 - 10
Mult/Div 8 + 24 - 10
Add / Sub 32 - 10
22
4) (10 X 2 - 5) + (3 + 4) X (4 x 2)
Parenthesis (5 - 5) + 7 X 8
0 + 7 X 8
Exponents
Mult/Div 0 + 56
Add/Sub 56
Need additional practice?
Try these on your own and check back tomorrow for the solutions.
1) 4^2 + 12 - (5 X 10)
2) 10 - 5 X 10^2
3) (6 + 6)^2 + (8 -4) X (6-2)
4) (6 - 3/3) + 4 - 4 + 12
5) 10^4 - 10^2 X 5 / 500
Robin Hinmon, owner, Brandywine Academic Services
http://www.BrandywineAcademicServices.com
Sunday, February 7, 2010
The Start of a Blog
How many of you out there saw the movie Julia and Julia? Much like Julia Powell, I wonder how many of you will be reading my blog. I know I am no match for the anecdotes retold by Julia; however, I am going to do my best to keep the reader's interest and become a helpful resource for high school students.
Robin Hinmon, owner, Brandywine Academic Services
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