This quote has evolved over time into the quote you see above. The orginal Shakespeare Quote is:
"Though this be madness, yet there is method in 't."
--From Hamlet (II, ii, 206)
Friday, September 28, 2007
MCDL 1.3
Questions and Comments:
Order of Operation
20 comments:
Anonymous
said...
K.A. i need help with the order of operations. I want to know if you have (5x5) squared do you do 25 squared or 5 squared times 5? also if you have 7x squared would you do x squared time 7 or 7 times x squared?
I need help figuring which type of brackets go before another, or does it not matter? Example: 5(4[3{6+7}]) so do (),[],or {} go first or does it not matter?
M.G. to K.A. I think that i can help you out with your problems. Ok, first the order of operations is: 1. parathasis,2.exponents,3.multiplication/divisn, 4. addition/subtraction
So if you had (5x5)squared, the first thing you would do is parathasis first so 5x5 is 25 then you would do 25 squared which is 625. That is how you would do it and for the second problem you would do exponents first because you don't have any parathasis so you would do x squared times 7. All you need to remember is the order of operations.
E.Mu: Im pretty sure about this, but i think that the squarish brackets [] go on the VERY outside, and I dont think that u need the curvy brackets {} at all. the parenthesis () are the very middle ones, for the smaller equations.
E.Ma to K.A. If you have (5 x 5)^2 then you follow the order of operations. Multiply the numbers in the parenthesis and then square the product of the parenthesis. Example: (a x b)^2 A=2 B=4 (2 x 4)^2 8^2 8^2= 64
If you have 7x^2 then once again you follow order of operations. You find the product of x^2 then you multiply that product by 7 Example: 8a^2 a=2 (8)4^2 (8)16 (8)16=128
1.3 E.Mu, i dont know about the {and} symbols, but it does matter with the [ and ( symbols. In an expression or equation, the brackets [ must go on the outside of the parenthesis (. So an example of what that would look like is: y=3+[4(5=3)6] -A.L.
D.M. to E. Mu. If i'm correct you need to start with the middle paretnthesis, in your case {}, form there you move farther and farther out, [] then (). If there are more than one main parenthesis, you move form left to right.
on page 102 example #5 shows a problem with alot of brackets and stuff.i think you start out with () around a number or whatever and then as you break it down you put the differnt kinds of brackets on the outside seperating the like terms and groups and things. so i think the order is {[()]}.
Hey K.A., remember that parenthesis always come first in the equation. If you have (5 x 5)squared, it will be the same as 25 squared, because everything in parenthesis comes first, thus 25 is squared rather than 5 x 5 squared. I had this problem too, but it is really simple once you get it. Just remember PENDAS. :)
but my question isnt about where they go, but my question is that if they are all in the equation do you solve the () first, the [] first, or the {} first, or does it not matter which type of brackets you solve first?
the braces that you were talking about are used to show the domain and range. i also think that they are used withh order of operations so outside of the brackets you could have braces.
E.Mu., you may want to restate your question for 1.3!?! It is confusing as to wat you r asking! are you asking which brackets to solve first or which are supposed to be in an equation first when you are writing an equation?-A.L.
E.Mu., you may want to restate your question for 1.3!?! It is confusing as to wat you r asking! are you asking which brackets to solve first or which are supposed to be in an equation first when you are writing an equation?-A.L.
Order of operation says parentheses (or grouping symbols,) first. So work from the inside out. Just something to think about... what do we know about distribution and multiplication. Try a few but stick with multiplication for now. :-)
Also remember we are expanding our definition of P or parentheses to something more global. We are defining it as "grouping symbols" and that is what the various brackets are that you have all described. No matter the shape they are grouping operations and numbers together. So look for the inner most "grouping" of numbers and their operation, that is where you want to start.
20 comments:
K.A.
i need help with the order of operations.
I want to know if you have (5x5) squared do you do 25 squared or 5 squared times 5?
also if you have 7x squared would you do x squared time 7 or 7 times x squared?
E. Mu.
I need help figuring which type of brackets go before another, or does it not matter?
Example: 5(4[3{6+7}]) so do (),[],or {} go first or does it not matter?
M.G. to K.A.
I think that i can help you out with your problems. Ok, first the order of operations is: 1. parathasis,2.exponents,3.multiplication/divisn, 4. addition/subtraction
So if you had (5x5)squared, the first thing you would do is parathasis first so 5x5 is 25 then you would do 25 squared which is 625. That is how you would do it and for the second problem you would do exponents first because you don't have any parathasis so you would do x squared times 7. All you need to remember is the order of operations.
E.Mu:
Im pretty sure about this, but i think that the squarish brackets [] go on the VERY outside, and I dont think that u need the curvy brackets {} at all. the parenthesis () are the very middle ones, for the smaller equations.
E.Ma to K.A.
If you have (5 x 5)^2 then you follow the order of operations. Multiply the numbers in the parenthesis and then square the product of the parenthesis. Example: (a x b)^2 A=2 B=4
(2 x 4)^2
8^2
8^2= 64
If you have 7x^2 then once again you follow order of operations. You find the product of x^2 then you multiply that product by 7
Example: 8a^2 a=2
(8)4^2
(8)16
(8)16=128
k.a. to e.mu
i'm pretty sure that from the outside of the problem going in that { goes first then[ then ( so for example {5[7x3(6x6)]}
d.c.
if you have (5x5) it was just 25. it wouldnt be 5 squard times 5 because 5 squard is 25 and if you times 5 by 25 it would be 125
1.3 E.Mu, i dont know about the {and} symbols, but it does matter with the [ and ( symbols. In an expression or equation, the brackets [ must go on the outside of the parenthesis (. So an example of what that would look like is:
y=3+[4(5=3)6] -A.L.
D.M. to E. Mu.
If i'm correct you need to start with the middle paretnthesis, in your case {}, form there you move farther and farther out, [] then (). If there are more than one main parenthesis, you move form left to right.
C.K. to E.Mu
on page 102 example #5 shows a problem with alot of brackets and stuff.i think you start out with () around a number or whatever and then as you break it down you put the differnt kinds of brackets on the outside seperating the like terms and groups and things. so i think the order is {[()]}.
A.H
to K.A.
Hey K.A., remember that parenthesis always come first in the equation. If you have (5 x 5)squared, it will be the same as 25 squared, because everything in parenthesis comes first, thus 25 is squared rather than 5 x 5 squared. I had this problem too, but it is really simple once you get it. Just remember PENDAS.
:)
e. mu. to r. s.
thank you,
but my question isnt about where they go, but my question is that if they are all in the equation do you solve the () first, the [] first, or the {} first, or does it not matter which type of brackets you solve first?
J.B
To answer K.A's question the order of operations is alway
Perenthecies
Exponets
Multiply
Divide
Add
Subtract.
So in your case you would do the perenthecies first then the exponets.
cvdv ti emu
the braces that you were talking about are used to show the domain and range. i also think that they are used withh order of operations so outside of the brackets you could have braces.
E.Mu., you may want to restate your question for 1.3!?! It is confusing as to wat you r asking! are you asking which brackets to solve first or which are supposed to be in an equation first when you are writing an equation?-A.L.
E.Mu., you may want to restate your question for 1.3!?! It is confusing as to wat you r asking! are you asking which brackets to solve first or which are supposed to be in an equation first when you are writing an equation?-A.L.
K.A.
Order of operation says parentheses (or grouping symbols,) first. So work from the inside out. Just something to think about... what do we know about distribution and multiplication. Try a few but stick with multiplication for now. :-)
E.MU
A.L. is correct. You work from the very inner brackets (regardless of shape,) to the middle brackets to the outside brackets.
So, inside to outside.
KA
Let's use your example of 7x^2, and let's give "x" a value of 3 for our discussion, o.k.? Aren't you are really saying:
(7 * 3)(7 * 3)
or
7 * 3 * 7 * 3
but didn't we say using the communitive property of multiplication we could move these numbers around and we would get the same answer?
So we can write the problem as all of the following.
(7*3)^2
or
(7^2)(3^2)
or
21^2
Hope this helps.
Also remember we are expanding our definition of P or parentheses to something more global. We are defining it as "grouping symbols" and that is what the various brackets are that you have all described. No matter the shape they are grouping operations and numbers together. So look for the inner most "grouping" of numbers and their operation, that is where you want to start.
Post a Comment