Today, we learned the power to a power rule. It states that if you have (ab*)^, it becomes a^b*^. That is just one way to simplify the expression. We also learned that if there are negative exponents, you put the numeral or variable with the negative exponent below the fraction bar. That is called the definition for negative exponents. After the lesson check, we went over some of the problems that we needed clarificaton on like, 5c*. The exponent is negative, by the way. We had to put it in a form using positive exponents. It became 5 over c to the fourth. That is what we did today.
10/28/10 Today Mr.Gerson went over yesterday's homework. For example: pg 212 #81, x^3a= X^4*x^6. The first step is to use product of powers for x^4 and x^6. For example: x^4+6= x^10. The second step is to get rid of all the xs and think 3a=10. The third step is to use the division property of equality. a=10/3. The next thing we did in class was the lesson check on last night's homework and notes. After we corrected the lesson check, Mr. Gerson gave us some notes. We learned about the products and quotients of monomials. Monomial is a term and a whole number. It's also an expression that is the product of numerals and the variable. For example: 3,-3, and 2xy^4. Binomials are polynomial with exactly 2 terms. Basically its 5x+5xy. Trinomial is a polynomial with three terms. For example, 5x*8y*45xy^8. Poynomial is anything more than1 and a constant is a term with no variables. For product of monomials are (3p^5*q^2) (4p^2*q^3)! Mr.Gerosn told us steps, so its easier to solve them; which are: 1. signs 2. numerals 3.variable in an alphabetic order. For example: (3p^5*q^2) (4p^2*q^3) =3*4 p^5+2 q 3+2 =12p^7q^5
journal entry 10/28/10 products and quotients of monomials Today we learned about monomial and sorta learned about binomial and trinomial. a monomial is an expression that is either a numeral, variable, or a product of numerals and variables with whole number exponents. The difference between a term and a monomial is that a monomial has no negative exponent but a term does. For example, -2xy^-2 is a term but -2x/y^2 is a monomial. and mr gerson said to organize an expression in alphabetical order like (3p^5q^2)(4p^2q^3) =3x4p^5+^2q^2+^3 =12p^7q^5
After going over our yesterday's previous homework,and taking our lesson check on product of powers& quotient of powers, power to power etc. We started on notes about products and quotients of monomials. WHAT IS MONOMIAL YOU ASK? It is a variables with whole number exponents, and its different then term. heres some examples; 3,-3,x,3x,2xy2 ARE monomial 2x-2y ---> 2y/x2 5x1/2 ---> 5√x These two examples above ARE NOT monomial^ We also went over binomial, trimonial and constant as well.(Basically learned poynomial) Constant are numerals only, and whole number do not include negative,fraction or rational numbers. Heres 'product of power' example) (3p^5*q^2) (4p^2*q^3) =3*4 p^5+2 q 3+2 =12p^7q^5 Now,heres 'quotient of to a power' example. -32x^15y^4/8x^14y^6 =-4x^15-14y^7-6 =-4xy
*Look for 1)signs 2)numerals 3)variable in an alphabetic order.
&&our homework: p. 215 (#1-9 odd; 25-33 odd) &Make sure to study for lesson check tommarrow(: !
HANNA CHU; PER 6 ! &YES..I'LL TRY TO CHANGE MY ID NAME TO HannaC.Per.6
today in class we started off by asking MR.Gerson questions about the homework(212 1-39:odd). We then took a lesson check based on it. after the lesson check the class took notes on products and quotients of monomials. A monomial is an expression that is either a numeral, a variable, or a product of numerals and variables. Mr. Gerson also taught us to solve in steps. Signs, numerals, and Variables.
ex. Multiplying- (7t^5)(4t^3)= 7t^5*4t3= 28t^8
ex. Dividing- 4x^5/2x^2= 4x/2x= 2x:subtract the exponents 2x^3
Just Wanna Make Sure Im Doing My Justifications Right: (8m^-3)(-4m^4)(m^-4) Given 8 x (-4) Combine Numerals -32 (m^-3)(m^4)(m^-4) Simplify M^-3+4+(-4) Combine Like variables -32m^-3 Simplifty -32/m^3 Make Monomial? (Not sure on that one)
41 comments:
Please post the assignment below. Thanks.
what was the homework
our period didn't see it.
Homework: p. 215 (#1-9 odd; 25-33 odd)
thank you
thanks
For pg. 625 (#1-25) do we have to justify?
Today, we learned the power to a power rule. It states that if you have (ab*)^, it becomes a^b*^. That is just one way to simplify the expression. We also learned that if there are negative exponents, you put the numeral or variable with the negative exponent below the fraction bar. That is called the definition for negative exponents. After the lesson check, we went over some of the problems that we needed clarificaton on like, 5c*. The exponent is negative, by the way. We had to put it in a form using positive exponents. It became 5 over c to the fourth. That is what we did today.
@nilu i think we do! :)
ps. i hope your foot gets better!
per 4 hw: p, 216(69-77:odd)
btw, do we hav to justify?
10/28/10 Today Mr.Gerson went over yesterday's homework. For example: pg 212 #81, x^3a= X^4*x^6. The first step is to use product of powers for x^4 and x^6. For example: x^4+6= x^10. The second step is to get rid of all the xs and think 3a=10. The third step is to use the division property of equality. a=10/3. The next thing we did in class was the lesson check on last night's homework and notes. After we corrected the lesson check, Mr. Gerson gave us some notes. We learned about the products and quotients of monomials. Monomial is a term and a whole number. It's also an expression that is the product of numerals and the variable. For example: 3,-3, and 2xy^4. Binomials are polynomial with exactly 2 terms. Basically its 5x+5xy. Trinomial is a polynomial with three terms. For example, 5x*8y*45xy^8. Poynomial is anything more than1 and a constant is a term with no variables. For product of monomials are (3p^5*q^2) (4p^2*q^3)! Mr.Gerosn told us steps, so its easier to solve them; which are: 1. signs 2. numerals 3.variable in an alphabetic order. For example: (3p^5*q^2) (4p^2*q^3)
=3*4 p^5+2 q 3+2
=12p^7q^5
ok...hey u wanna help me w/ #77?
@Evelyn: are you postive? and oh thanks!
im pretty sure you are Nilu, i did.
Period 2:
Period 3:
Period 4: Shelby P., David P.
Period 5:
Period 6:
Also, if you want help on homework, please try to post the problem.
journal entry 10/28/10
products and quotients of monomials
Today we learned about monomial and sorta learned about binomial and trinomial. a monomial is an expression that is either a numeral, variable, or a product of numerals and variables with whole number exponents. The difference between a term and a monomial is that a monomial has no negative exponent but a term does. For example, -2xy^-2 is a term but -2x/y^2 is a monomial. and mr gerson said to organize an expression in alphabetical order like
(3p^5q^2)(4p^2q^3)
=3x4p^5+^2q^2+^3
=12p^7q^5
10/28/10
today we learned about monomials. what they are, and what they aren't. we also took a lesson check that was pretty easy to me.
Period 2: Julie L.
Period 3:
Period 4: Shelby P., David P.
Period 5:
Period 6:
Brian, the entry has to be about a paragraph. so im not counting that
the lesson check tomorrow will be like the one today right?
@ someone in per 4...
can u help me w/ # 77? its confusing me.
Journal Entry # (10/28/10)
After going over our yesterday's previous homework,and taking our lesson check on product of powers& quotient of powers, power to power etc. We started on notes about products and quotients of monomials.
WHAT IS MONOMIAL YOU ASK?
It is a variables with whole number exponents, and its different then term. heres some examples;
3,-3,x,3x,2xy2 ARE monomial
2x-2y ---> 2y/x2
5x1/2 ---> 5√x
These two examples above ARE NOT monomial^
We also went over binomial, trimonial and constant as well.(Basically learned poynomial)
Constant are numerals only, and whole number do not include negative,fraction or rational numbers.
Heres 'product of power' example)
(3p^5*q^2) (4p^2*q^3)
=3*4 p^5+2 q 3+2
=12p^7q^5
Now,heres 'quotient of to a power' example.
-32x^15y^4/8x^14y^6
=-4x^15-14y^7-6
=-4xy
*Look for 1)signs 2)numerals 3)variable in an alphabetic order.
&&our homework: p. 215 (#1-9 odd; 25-33 odd)
&Make sure to study for lesson check tommarrow(: !
HANNA CHU; PER 6 !
&YES..I'LL TRY TO CHANGE MY ID NAME TO HannaC.Per.6
Period 2: Julie L.
Period 3: Brian C.
Period 4: Shelby P., David P.
Period 5:
Period 6: Hanna C.
@Paige: post the problem. :)
Hint for #77:
Combine like terms and use "Multiplying Powers with Like Bases" rule.
Brian's doesn't count Eric, not a paragraph.
how do Im justify #1 on pg.215???Help!
eh? okay.
Period 2: Julie L.
Period 3:
Period 4: Shelby P., David P.
Period 5:
Period 6: Hanna C.
Again, post the math problem. :)
@ eric
thank you! i realized i was keeping 2 variables wen i wasnt supposd 2. I just didn't think about it before...
#1) (6xsquared)(7)
Yeah. Contrary to popular belief, TA's do not have algebra books.
@ giselle
i know how 2, but i just can't think of how to say it...
Actually, I do. But just for the other TAs, students should post te problem.
I'm assuming the problem is:
(6x^2)(7)?
Combine Like Terms.
10/28/10
today in class we started off by asking MR.Gerson questions about the homework(212 1-39:odd). We then took a lesson check based on it. after the lesson check the class took notes on products and quotients of monomials. A monomial is an expression that is either a numeral, a variable, or a product of numerals and variables. Mr. Gerson also taught us to solve in steps. Signs, numerals, and Variables.
ex. Multiplying-
(7t^5)(4t^3)=
7t^5*4t3=
28t^8
ex. Dividing-
4x^5/2x^2=
4x/2x=
2x:subtract the exponents
2x^3
Or if you really want to get fancy and all that:
Given: (6x^2)(7)
Communative Property: (7)(6x^2)
Associative Property: (7X6)x^2
Simplify: 42x^2
But that's kind of wierd.
Period 2: Julie L.
Period 3: John S.
Period 4: Shelby P., David P.
Period 5:
Period 6: Hanna C.
Thank ou eric:) and you too page... I think...
Just Wanna Make Sure Im Doing My Justifications Right:
(8m^-3)(-4m^4)(m^-4) Given
8 x (-4) Combine Numerals
-32 (m^-3)(m^4)(m^-4) Simplify
M^-3+4+(-4) Combine Like variables
-32m^-3 Simplifty
-32/m^3 Make Monomial? (Not sure on that one)
And also, is there any practices in the book we can do that uses the content in the lesson check?
uhhh you can do the wrap up if that helps and sean and eric sorry that i wasn't on earlier :P
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