Tuesday, November 30, 2010
Daily Scribe
Monday, November 29, 2010
Daily Scribe 11/29 Caroline Hagan
Sunday, November 28, 2010
Nick's Thanksgiving Project
Saturday, November 27, 2010
Sunday, November 21, 2010
Wednesday, November 17, 2010
Daily Scribe-Courtney
How to slove fractions as a decimal
When solving fractions as a decimal, you should divide the numerator by the denominator.
Example:
Numerator Denominator answer
1/4..........................1 / 4 =0.25
2/7..........................2 / 7 = 0.29
9/10........................9 / 10 = 0.90
Terminating decimal- A decimal which ends or "terminates" dividing the numerator of a fraction by the denominator produces a remainder of zero.
Repeating decimal- A decimal with a digit or digits that repeat in an identical pattern forever.
Examples of a terminating decimal- 4/5 1/25 0.75 3.125
~these all have a remainder of zero, and don't go on forever
Examples of a repeating decimal- 4/11 7/15 66.666... 4.424242.... 5.987987987....
~the remainder will repeat forever, in a pattern
Remember: .99999......... repeating would actually equal 1
Writing mixed numbers as decimals
First, you should multiply the denominator by the regular number. Then, add the numerator to your answer when you multiply the denominator and number. To write a mixed number as a decimal, first write it as an improper fraction. Then, divide the improper fraction by the numerator, then the denominator.
Examples: 3 2/5 (three and two fifths)
First, multiply 5*3 (denominator and number), then add 2 (numerator) to get ... 17
Then, divide the numerator (17) by the denominator (5). 5
17/5......................3.40
3 2/5= 3.40
1 8/10 (one and eight tenth)
First, multiply 10*1 (denominator and number), then add 8 (numerator) to get......18
Then, divide the numerator (18) by the denominator (10). 10
18/10................1.80
What does 20/9 equal?
First, find out what multiple of 9 goes into 20, or one that is the closest to 20.
9*2=18, which is the closest to 20.
2 would be used as the whole number; not the denominator or numerator, since it's the closest multiple to 20. Since 2*9=18, the left over number is 2, because 20-18=2.
The numerator is 2, which is the left over number, and the denominator from the regular number which is 9, stays the same.
The answer is 2 2/9
Tuesday, November 16, 2010
Daily Scribe
November 16, 2010
By Larisa Kreismanis
Today in class we learned about the differences between multiples and factors and how to find the least common multiple (LCM) of numeric expressions and variable expressions.
Multiples and Factors
Multiple- A multiple is a number(n) times another number continuing in a numeric pattern. For example,
The first five multiples of 8 are 8, 16, 24, 32, and 40.
Factor- A factor is a number that you can multiply by another number to get the number you need factors for. Factors can be whole numbers or fractions.
For example,
16 is a factor of 32 because 16*2=32
Least Common Multiple (LCM)
The least common multiple of a number is the smallest number that is a multiple of two or more numbers. You can find the least common multiple (LCM) by listing the multiples of the numbers and find which is the smallest multiple in common. For example,
The LCM of 12 and 20 is 60
Multiples of 12 – 12, 24, 36, 48, 60, 72
Multiples of 20 – 20, 40, 60, 80, 100
LCM= 60
Finding Least Common Multiple (LCM)
Using Prime Factorization
You can also find the LCM by using prime factorization. The least common multiple (LCM) is the smallest number that two numbers can be divided into. When finding the LCM by using prime factorization, you find the prime factorization for both numbers. Then you pick the set of prime factors that overlap each other and you multiply them by the numbers that do not overlap each other. The product of these numbers will then be the LCM. For example,
The LCM of 25 and 40 is 200.
Prime Factorization for 25= 5*5.
Prime Factorization for 40= 2*2*2*5.
5 is the only overlapping number, so to find the LCM you multiply 2*2*2*5*5=200.
Finding The Least Common
Multiple in Variable Expressions
When finding the LCM in variable expressions you find the prime factorization for both numbers. Then, including the variables, you pick the sets of numbers that overlap each other, then you multiply the sets of numbers and variables that overlap each other by numbers that do not overlap each other. For example,
The LCM of 15ab2 and 12abc is 60ab2c.
The prime factorization of 15ab2 = 3*5*a*b*b.
The prime factorization of 12abc = 2*2*3*a*b*c.
The overlapping numbers are 3,a,b so to find the LCM you multiply 2*2*3*5*a*b*b*c to get 60ab2c.
Monday, November 15, 2010
Saturday, November 13, 2010
Daily Scribe
Today in class we worked on how to write algebraic fractions in simplest form. We started off class by correcting the homework from the night before. We then took notes on how to write a algebraic fraction in simplest form.
The first thing you do is write out the prime factorization of the expression. then you divide the numerator by the denominator by the common factors.
example: 9x /3xy would be written as 3*3*x /3*x*y
The next step would be to cross out the same numbers or variables and make them 1, they would be made into a 1 because anything divided by itself is 1. You could cross out a 3 and a x and make the equation and make it 3 over and that would be your answer. If you do these steps and your answer is a larger answer like
3*4*3*x /7*5*h, you would multiply 3*4*3*x and 7*5*h
and get 36x/ 35h because 3*4*3*x=36x and 7*5*h=35h to simplify the problem even more
We did 3 example problems and they were...
1. b/abc = 1/ac
2. 2mn/6m = N/3
3. 24xxy/8xy = 3x/1
At the end of class we worked on a order of operations worksheet were we had to show our steps on how we got the answer.
example: 9-5/(8-3)*(-2)-6 = 5
9-1*(-2)-6
9-(-2)-6
9+2-6
11-6
Friday, November 12, 2010
Wednesday, November 10, 2010
Daily Scribe: November 10th
Tuesday, November 9, 2010
November 9,2010
Monday, November 8, 2010
Daily Scribe 11-8 Hunter Lambroff
We started off with a Do Now of trying to write down divisibility rules 2 - 10, so here are the answers.
2 - If a number is divisible by 2, it ends in either 0, 2, 4, 6, or 8.
3 - If a number is divisible by 3, the sum of it's digets is divisible by three.
4 - If a number is divisible by 4, then the last two digits of the number are divisible by 4.
5 - If a number is divisible by 5, it either ends in 0 or 5.
6 - If a number is divisible by 6, it must be divisible by both 2 and 3.
7 - The rule is SUPER complicated, so you'll just have to divide.
8 - If a number is divisible by 8, the last three digits of the number are divisible by 8.
9 - If a number is divisible by 9, the sum of it's digits is divisible by 9.
10 - If a number is divisible by 10, the number must end in 0.
Next, we learned about factors.
Factors are integers that divide into another number evenly.
Then, we did some problems to find the factors of a given mumber.
We also learned that prime numbers are numbers that it's only factors are itself and 0.
Later, we learned how exponents are used to show repeated multiplication, it would be alot easier to say 5^7 than 5*5*5*5*5*5*5. You must remember that exponents mean you multiply the. It doesn't mean that you multiply the integer by the exponent. When you write exponents, you write them to the top right of the integer, if it is only miltiplied once you don't have to write anything.
When you add variables, perenthases, and negative numbers in to the process, it can get tricky. When there is a negative variable and it's exponent is even, the product is even. If it's odd, the prodict's odd. If there are parenthases around the negative variable or number, and the exponent ids on the outside, it means that you do the negitive number, times itself as a positive/negative a ceartian amount of times. Parenthases and the exponents effect the equasion and it's answer.
Monday, November 1, 2010
Daily Scribe
We also have a notebook quiz. This is to see if your notebook is organized. So you should make sure that you have the dates and what number homework it on the page.
If you don't know all of these things and if your notebook isn't organize then you better get studing!