## Tuesday, February 14, 2012

### Chapter 10.2

14.A grocer orders w white loaves and b brown loaves of bread everyday for d days.
Describe in words what each if the following expressions represents.
a. w + b ans white loacves + brown loaves
b. wd ans white loaves x days

### Rule for 5

Any number that ends with a 0 or 5
Example:500,125,5645

### Bedmas

Bedmas:
B-brackets
E-exponent
D-divide
M-multiply
S-subtract
Example-(2+4)+(3x4)
6+(3x4)
6+12
18

### multiples of 20

20- 20 40 6- 80 100

1- 1 2 3 4 5

### rule for 3

If the sum of a whole number is divisible by 3.
Example:552=5+5+2=12 is divisible by 3

### multiples of 12

12- 12 24 36 48 60

### multiples of 11

11- 11 22 33 44 55

### multiples of 3

3- 3 6 9 12 15 18 21

### Chapter 7 common denominator

6.Determine a common denominator for each pair of fractions.
a.1/4 and 1/8 ans=8
b.1/3 and 1/5 ans=15
c.1/3 and 1/4 ans=12
d.1/4 and 1/10 ans=20

5- 5 10 15 20 25

### multiples of 2 4 6 8 10

2- 2 4 6 8 10
4- 4 8 12 16 20
6- 6 12 18 24 30
8- 8 16 24 32 40
10- 10 20 30 40 50

### Chapter 7 venn diagram

5.Draw venn diagrams like the ones shown to determine the first three common multiples of each set of numbers.
a. multiples of 2 and 5
2=2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
5=5,10,15,20,25,30
L.C.M=10,20,30
b.multiples of 3 and 6
3=3,6,9,12,15,18
6=6,12,18
L.C.M=6,12,18

### rule for 2

Any number that ends with a 0 or even numbers.
Example:200,672,898

### number of the day

7. The radius of a circle is the digit in the thousandths place find the circumference.
2x3.1416xthousandths

### number of the day #16

16.The whole number is divisible by (circle) 2,3,4,5,6,8,9
1234
2,6,8 is divisible of 1234

### chapter 7 adding mixed numbers 250

12 susie ran for 1 3/4 h. and then walked for 2 1/4 h. for how long did she travel ?

1 3/4+2 1/4 =
deal with fractions
3/4+1/4=4/4 0r 1
deal with whole number
1+2+1=4
she traveled for four hours

### number of the day #8

8.write a power using the digit in the 100th place as the base and the digit in the 10s place as the exponent.
Example:1234.567 take the 6 and the 3
63 6x6x6=42

### rule for 2

Any whole number that ends with a 0 to divided by any even numbers
Example:20 divided by 2= 10

### Divisble by 5

When the last digit is 5,0.

90-5 0 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90

### multiples of 6

6- 6 12 18 24 30 36

### multiples of 9

9- 9 18 27 36 45 54

### rule for 4

rule for 4 is a number that is divided by two two times.
Example:eight divided by two= four
four divided by two= two
so rule for 4 work on even numbers.

### Divisble by 2

When the number can be divided to 2 and the answer will be a whole number not decimal.

### Divisible By 6

When the number is divisible by 2 and 3.

66- 2x33=66
66- 3x22=66

### rule for 25

If the last two number are divisible by 25
Example:3225,4625,5825,4825

### Divisible By 9

Multiple's of 9 is when you add the sum of the number. The answer will be divisible by 9.

For example 99 9+9=18. 18 is divisible by 9 so 99 is divisible by 9.

### chapter 6 practice test

a) 10/12-6/12= 4/12=2/6= 1/3 b)9/12-7/12=2/12=1/6 c) 9/12-6/12 =3/12

d)8/12-6/12 =2/12= 1/6

### multiples of 7

7- 7 14 21 28 35 42

### rule for 5

Rule for 5 is the number supposed to end with a five or a zero.
Example:50,55,5,10
if it end with a zero or five it is a rule for 5.

### multiples of 9

9- 9 18 27 36 45 54

### chapter 7

20.Draw a diagram for each subtraction statement.

A) four wholes and one sixth - two wholes and one sixth
i take the one whole to add to one sixth now it's three wholes and seven sixth
three wholes and seven sixth - two wholes and one sixth=one whole and six sixth or two wholes.

### mulitiple of 2 4 6 8 10 12

2- 2,4,6,8,10
4 -4,8,12,16,20
6- 6,12,18,24,30
8- 8,16,24,32,40
10- 10,20,30,40,50
12- 12,24,36,48,60

### chapter 7

5.Draw Venn diagrams like the ones shown to determine the first three common multiples of each set of number.

A) multiples of 2. 2,4,6,8,

multiples of 5. 5,15,25,35

both. 10,20,30,40

### chapter 7

8.write an addition statement to represent each diagram. Then subtract.

A) two third + one fourth find the L.C.M
3x4=12
4x3=12
2x3=6
1x4=4
six twelfth+ four twelfth
=ten twelfth

### chapter 6 review page 223

12 a)2/3+1/3= 3/3= 1 b) 3/8+1/8= 4/8=2/4=1/2 c) 1/12+5/12= 6/12=4/6= 2/3

d) 3/5+1/5= 4/5 e) 1/14+1/14=2/14=1/7 f)2/7+4/7=6/7

### chapter 10.2

14.A grocer order w white loaves and b brown loaves of bread every day for d day.
describe in words what each if the following expressions represents.
a) w+b
b) w d
white loaves + brown loaves
white loaves x things

## Monday, February 13, 2012

### An Algerbraic Equasion

A group of students are talking,2 friends leave the group.Write an expression for the number of students in the group after 2 friends leave.

the letter G represents "Unknown" because we dont know how many students were in the group. 2 friends left and you take away 2. Since u have to take away 2 its like this G-2

### First 5 multiples of 3-10!

3 - 3,6,9,12,15
4 - 4,8,12,16,20
5 -5,10,15,20,25
6 - 6,12,18,24,30
7 - 7,14,21,28,35
8 - 8,16,24,32,40
9 - 9,18,27,36,45
10 -10,20,30,40,50

you guys gotta memorize this xD jk.

kyle and his sister have 3/4 of a pizza. Kyle's sister eats 1/3 of the pizza and kyle eats the rest.

who eats more pizza?
that means Kyle does :)

Expression- Any single number, variables, or combination of operations (-,+,x) involving numbers and variables.
Eg. 5n, 8t, X+1, y-7. 1+1=2 Equation

Value- a known or calculated amount.

constant- a number that does not change and it increases or decreases the value of an expression.

### Rule for 8

all numbers divisible by 2 trice

### Rule 4

all numbers that are divisible by 2 twice

### Rule for 10

all numbers ending in zero

eg 10,20,30,40,50,60,70

### Rule For 5

all numbers ending in 0 or 5

eg 5,10,15,20,25,30,35,40

### Rule for 2

all even numbers are divisible by 2 even numbers end in 0,2,4,6,8 odd numbers end in 1,3,5,7,9

### Rule for 6

if the number is divisible by 2 and 3 it is divisible by 6

### Rule for 9

The sum of the digits is divisible by 9

### Rule for 3

The sum of the digits is divisible by 3

eg 1+2+3+6=12=3

### Divisibility rule 2

All even numbers are divisible by 2.
Even numbers: 0,2,4,6,8.

10X1000= 10000

## Sunday, February 12, 2012

10X1000= 10000

### Rule for 6

a number that can be divide by 2 and 3

### Expression

Is any single number or variable or combination of Opreations ( -,+,x,) involving number variables.

### Variable

A letter that stands for an unknown number
Eg. t,y,x

### Rule for 4

a number that can be divided by 2 twice
finding a common denominator for

2/8 and 1/2

### Rule for 5

The whole number must end in a 0/5
5,10,15,20,25...

Brackets- ( )
Exponents- #*
Division- _
Mutipication- X
Subtraction- -

### Math problem

A group of students are talking, 2 friends leave the group. Write an expression for the numbers of students in the group after 2 leave?

### Numerical coefficient

Numerical coefficient- a number that multiplies the variable.
Eg. 2t

### Constant

Constant- a number that does not change and it increses ordecreases the value of an expression.

### Variable

Variable- a letter that represents an unknown number.
Eg. X, A, N

### Expression

Expression-any single number or variable or combination
Opreations ( -,+,x,) involving number variables

Eg.. 5n, 8t, x1, 2y ,-7
1+1=2 equation

### What is a Common Denominator?

A common denominator is a common multiple of the denominators of a set of fractions.

### divisibility rule for 4

If the last two digits of a number are divisible by 4, the entire number is divisible by 4. The reason this works is because 100 is a multiple of 4.

### What is Constant?

A Constant is......A number that does not change and it increases or decreases the value of an expression

### divisible rule for 1

Every Number is a Multiple of 1 e.g., 5÷1=5, 3÷1=3, and 6÷1=6.

### All Divisiblity Rules

1. All whole numbers are divisible by 1

2. All even numbers are divisible by 2

3 - if the sum of the digits is divisible by 3

4. All numbers that are divisible by 2, two times
5. Ending in 0 or 5

6. If its divisible by both 2 and 3

7. None try to make one!

8. All numbers that are divisible by 2, 3 times

9. If the sum of the digits is divisible by 9

10. All numbers ending in 0

### Multiples

A multiple is the product of any given number and natural number like 1,2,3,4

### what's a quotient?

A quotient is the result of dividing two numbers. If we divide one number into another number, the result is the quotient. It might be argued that the quotient is the ratio of two numbers, but what has been stated applies.

### Expression

Any single numbers or variable, or combination of operation (-, +, x, ÷)

### Rule for 2

All even numbers are divisible by 2
Even numbers end in 2,4,6,8,0
Odd numbers end in 1,3,5,7,9

### divisible rule for 2

If the last number is o,2,4,6 or 8 then its divisible by 2

### Rule for 5

For example:

Is the 5615 divisible by 5?

Yes because its ends with 5.

Is the 7840 divisible by 5?

Yes because its ends with 0 (zero).

### Divisibility rule for 10

Rule for 10 are the numbers ending with 0 (zero).

For example:

Is the 2560 divisible by 10?

Yes! because it ends with 0 (zero).

Is the 5648 divisible by 10?

No! because it ends with 8 and its suppose to be 0. So its not divisible by 10.

### what's a numerator?

A numerator is the number in a fraction that lies above the divide line. The number that lies below the divide line is the denominator.

For example, the fraction 3/4 has a numerator (3) and a denominator (4).

### number of the day number 7 and 15

if your diameter is 6 then plug in 3.14 x 6. this will equal 18.84.

following the first example with the diameter being 6, you can calculate the radius and use that as well. the radius equals 1/2 of the diameter so radius equals 6 divided by 2. that equals 3. now you can plug 3 into the formula 2(3.14) x 3 which also equals 18.84.

B-Brackets

E-Exponents

D-Division

M-Multiply

S-Subtract

B-Brackets
E-Exponents
D-Division
M-Multiply
S-Subtraction

### divisible rule for 5

its divisible by 5 if the last number is 5 or 0

### What are the different types of estimating???

Estimate- to approximate an answer, an educated guess, and use friendly numbers.
Under Estimate-the estimate that you are sure is less than the actual answer.
Over Estimate-the estimate that you are sure is larger than the actual answer.
Front-end Estimation-is always under estimating, use the greatest place value the numbers have in common.
Here is a Video to help:

### what are variables ?

Variables are used throughout Algebra, Geometry, and Calculus. They are the basic building blocks. Variables are therefore very important to understand.

A variable is a symbol, such as x, that is used to describe an unknown number. In functions variables often represent not one number, but many different numbers. Understanding variables is essential for you to understanding problems that will need to be graphed.

### What does N stand for?

Since were starting to learn algebra in math I thought you should know what N means.

N = any number
It is not N, because it's the first letter of the word number.

### What are Multiples???

Multiples
They are the product of any given number and natural number like: 1,2,3...

Here is a video to help:

### prime number

A Prime Number can be divided evenly only by 1 or itself.
And it must be a whole number greater than 1.

B=Brackets
E=Exponents
D=Division
M=Multiplication
S=Subtraction

### Mixed Fractions

http://www.mathsisfun.com/mixed-fractions.html

A mixed fraction is a whole number and a fraction combined into one "mixed" number.
Example: 1½ (one and a half) is a mixed fraction
(Also called a Mixed Number)

### Prime numbers

A prime number is a number that can be only be divided by itself and 1 without producing a decimal.

eg: 2,3,5,7

Heres a video that can help with prime numbers!

### bedmas

In order to solve a question with multiple operations (add/subtract, multiply/divide) there is an order to follow often referred to as 'BEDMAS'
BEDMAS is an acronym that stands for;

B-brackets
E-exponents
DM-multiply or divide (left to right)

this is to help students remember what order to do the work in.

Here is a similar question,

(3 + 6) - 8 × 3 / 24 + 5

(3 + 6) - 8 × 3 / 24 + 5
= 9 - 8 × 3 / 24 + 5

Then E-exponents, none, followed by DM-divide multiply (left to right),

= 9 - 8 × 3 / 24 + 5 (multiply)
= 9 - 24/24 + 5 (divide)
= 9 - 1 +5

= 9 - 1 +5
= 8 +5
= 13

### Number of the day number 3

3. Write the number of the day in written form.

example: 1234.567

one thousand two hundred thirty four and five hundred sixty seven thousandths.

### Coordinate Gird

In the Coordinate Gird there is an X axis and an Y axis. The X axis is horizontal and the Y axis is vertical. The X axis is first and the Y axis is second so.

EG. (X,Y)

### Order of Operations

B- brackets
E- exponent
D- division
M- multiplication
S- subtraction

Example:

### Divisiblity Rules for 1,2,5

Rule for 1: Any whole number is divisible by 1.
Rule for 2: Any whole number that ends in a 0,2,4,6,8.
Rule for 5: Any whole number that ends in a 0 or a 5.

### Variables

Variable a letter that represent an unknown number.

eg: x,a,n

Expression any single number or variable, or combination of operations (+,-, ×, ÷)
involving number and variable.

eg: 5x,x+1

Picture and video!!

### What's a Common Denominator?

A common denominator is a common multiple of the denominators of a set of fractions.

E.g. What is the common denominator of 3 and 6 ?
= 6
Solution:
Find the Multiples :
3: 3, 6
6: 6, 12

A wee test for ye:
What is the common denominator of 11 and 12?

### How to add Mixed Numbers

What is a mixed number? - a mixed number is a number made up of a whole number and a fraction.
E.g. 1 1/2, 2 3/2 <-- WRONG!!

Instructions:

1. Deal with the fractions first. If they have a common denominator, go ahead. But if they have a different denominator, find a common denominator.

2. Then deal with the whole numbers.

3. Finally, combine the fractions and the whole denominators.

4. And if you can, bring the fraction to its lowest terms

Here's a little test for you:
1 1/2 + 3 3/4 = ?

Figure it out

### What is a Numerical Coefficient?

A Numerical Coefficient is a number that multiplies the variable.

E.g. numerical coefficient--> 2t <--variable

### What is a Constant?

A Constant is a number that does not change and it increases or decreases the value of an expression.

### What is a Variable?

A Variable is a letter that represents an unknown number.

E.g. X, A, N, B, etc.

### Adding Mixed Numbers with like Denominator

For example: 4 2/6 + 3 3/6

Step 1: Deal with fraction.
2/6 + 3/6 = 5/6

Step 2: Deal with whole numbers.
4 + 3 = 7

Step 3: Combine the fraction and the whole number.
7 5/6

Qoutient - is the result or answer to a division question.
eg. 12 / 2 = 6
6 is the qoutient.
(/ = divided by)

### Subtracting Mixed Numbers with like Denominator

For example: 5 6/8 - 3 3/8

Step 1: Deal with fraction.
6/8 - 3/8 = 3/8

Step 2: Deal with whole numbers.
5 - 3 = 2

Step 3: Combine the fraction and the whole number.
2 3/8

Numerator - is the top number of a fraction and tells us how many parts the whole we have or are dealing with.

6 <-------- numerator
-
10
Improper Fraction - is a fraction that has a greater numerator than the denomitor such as 9/8 or 5/2 or 117/3.

### Adding Fractions with Like Denominators

Example!
1/5 + 4/5
Look at the denominator first, if the denominator is the same you just have to add the numerator.
1/5 + 4/5 = 5/5 or 1.
Improper Fraction - is a fraction that has a greater numerator than the denominator such as 9/8 or 5/2 or 117/3.

### Multiples

Multiple - the product of any given number and natural numbers like 1,2,3.
example: multiples of 10 are: 10,20,30,40,50,60

The first five multiples of each number are..

2 - 2,4,6,8,10
3 - 3,6,9,12,15
4 - 4,8,12,16,20
5 - 5,10,15,20,25

### 5 Ways that YOU can represent 1/2.

1. 1/2 <---- Fractions!
2. 0.5 <---- Decimals!
3. 50% <---- Percentage!
4. 1:2 <---- Something..
5. [1][ ] <---- Pictures!

### Divisible Rule for 7.

No rule for 7. It may be possible but we haven't found it yet.
If you do happen to find one then give it to Mr.Isfeld so he can publish it in public and he will get rich.
Variable - is a letter that represent an unknown number.
eg. x,a,n

### Divisible Rule for 4.

A number that can be divisible by is 8 for an example.
The rule for 4 is if you can divide the number by 2 without having a remainder.

2 divided by 4 = 2 <--- No remainder.

### Estimates

Estimate- to approximate an answer with a educated guess

Under estimate- when your possitive that its smaller that the actual answer

### Estimations

Estimate- to approximate an answer educated guess

Over estimate- estimate that you are sure is larger then the actual answer

Under estimate- estimate that you are sure is smaller then the actual answer

### Constant

A number that does not change and it increases or decreases the value of an expression.

### Value

A known or calculated amount

### Divisibility rule 6

If the number is divisible by 2 and 3 it's divisible by 6

### Expression

Any single number or variables or combination of operations (-, +, divide sign, multipication sign.) invovling and variations.

eg. 5, n, 8t, xtl, 2y -7

### Variable

A letter that represents an unknown number.
eg. x, a, n

### What is a Numerator???

A numerator is a number that is the top number of a fraction and it tells us how many parts of the whole we have or are dealing with.

Here is a video to help:

### Divisibility rule for 3

You have to add up the digits in the number, if the sum is divisible by 3
without remainders its divisible by 3!

ex. 1233
1+2+3+3= 9 ÷ 3 = 3

1233 is divisible by 3

### Finding the lowest common multiple

Bold number is the lowest multiple
2=2, 4, 6, 8, 10, 12, 14
7=7, 14
.
.
6=6, 12, 18
9=9, 18

### Subtracting Mixed numbers with Like denominators

Question: 3 6/10 - 2 1/10=??

step 1: Deal with the fraction first.

6/10 - 1/10= 5/10 = 1/2

step 2: Deal with the whole numbers.

3-2=1

step 3: Combine the fraction and the whole number.

Here is the picture and video!!

### What is an expression???

Expression- any single number or variable, or combination of operations(-,+,x,÷) involving numbers and variables.

Here is a video to help:

### What is a Variable???

Variable-A letter that represents an unknown number.    e.g. x,a,n
Here is a video to help:

If the Video doesn't work simply click the LINK because sometimes you can only watch these videos on YouTube.

### Adding Mixed Number with Like Denominator

Mixed Number is made up of a whole numbers and a fraction.

For example: 2 3/12 + 1 8/12=??

step 1: Deal with the fraction first.

3/12 + 8/12= 11/12

step 2: Deal with the whole numbers.

2+1= 3

step 3: Combine the fraction and the whole numbers.

Here is the picture and video!!

## Saturday, February 11, 2012

### First 5 Multiples up to 10

1- 1, 2, 3, 4, 5.. (Get the point?)

2- 2, 4, 6, 8,10..

3- 3, 6, 9,12,15..

4- 4, 8, 12,16, 20..

5- 5,10, 15, 20, 25..

6- 6,12,18,24,30..

7- 7,14,21,28,35..

8- 8,16,24,32,40..

9- 9,18,27,36,45..

10- 10,20,30,40,50..

-Hope this helped! :D

B - Brackets

E - Exponents

D-Division

M - Multiply

S - Subtraction

B-Brackets
E- Exponents
D-Division
M-Multiply
S-Subtraction

### Numerators And Denominators

Numerator-is the top number of a fraction and tells us how many parts of the whole we have or are.

Denominator-the bottom number of a fraction and tells us how many equal parts the whole is divided into.

### An Algebra Problem And Answer!

A group of students are talking,2 friends leave the group.Write an expression for the number of students in the group after 2 leave.

Because they never told us how many people are in the group so you have to use the letter G because a letter represents an unknown number and G stands for group. Since u have to take away 2 its like this G-2

Hope This Helps!

### First 5 multiples up to the number 10!

Here is the first 5 multiples up to the number 10!
3 - 3,6,9,12,15
4 - 4,8,12,16,20
5 -5,10,15,20,25
6 - 6,12,18,24,30
7 - 7,14,21,28,35
8 - 8,16,24,32,40
9 - 9,18,27,36,45
10 -10,20,30,40,50

Hope this helps!

### What An Expression And Constant Means!

Expression-Any single number or variables, or combination of operations(-,+,x,÷) Involving numbers and variables eg:5n,8t,2y,-7

Constant-A number that does not change and it increases or decreases the value of an expression

### First 5 Multiples

2- 2,4,6,8,10.
3- 3,6,9,11,14.
4- 4,8,12,16,20.
5- 5,10,15,20,25.
6- 6,12,18,24,30.
7- 7,14,21,28,35.
8- 8,16,24,32,40.
9- 9,18,27,36,45.
10- 10,20,30,40,50.

### How to do number 1 in Number of the Day

Divide the number of the day by 2 to get half of the number

### Order of Operations

B- brackets ( )
E- exponents x m
D- division ÷
M- multiplication x
S- subtraction -

(Division and Multiplication are even, so work left to right.
Addition and Subtraction are even too so work from left to right.)

Example:
( 20+25) x 5- 23
45 x 5 - 23
45 x 5 - 8
225 -8
217

### Rule for 6

The number is divisible by both 2 and 3

### Rule for 10

The numeral ends in 0

### Rule for 5

The last digit is 0 or 5

### Rule for 2

The number is even. ( Last number)

## Friday, February 10, 2012

### Multiples

Multiple - the product of any given number and natural numbers like 1,2,3.
example: multiples of 5 are: 5,10,15,20,25,30,35,40,45

The first five multiples of each number:
2 - 2,4,6,8,10
3 - 3,6,9,12,15
4 - 4,8,12,16,20
5 - 5,10,15,20,25
6 - 6,12,18,24,30
7 - 7,14,21,28,35
8 - 8,16,24,32,40
9 - 9,18,27,36,45
10 - 10,20,30,40,50

Picture!!

### DENOMINATOR AND NUMERATOR

Denominator is the bottom number of a fraction and tell us how many equal parts the whole is divided into.

example:

3/ 4

4 is the denominator.

Numerator is the top number of a fraction and tell us how many parts of the whole we have or dealing with.

example:

5/ 6

5 is the numerator.

here is the picture and the video!!

### Divisibility Rule for 5

Rule for 5 are the numbers ending 5 and 0 (zero).

For example:

Is the 5615 divisible by 5?

Yes because its ends with 5.

Is the 7840 divisible by 5?

Yes because its ends with 0 (zero).

Here is the picture and video!!

### Divisibility Rule for 10

Rule for 10 are the numbers ending with 0 (zero).

For example:

Is the 2560 divisible by 10?

Yes! because it ends with 0 (zero).

Is the 5648 divisible by 10?

No! because it ends with 8 and its suppose to be 0. So its not divisible by 10.

Here is the picture and video!!

### Divisibility Rule for 3

Rule for 3 are all whole numbers who`s sum are divisible by 3.

For example:

Is the 2601 divisible by 3?

Yes! because 2+6+0+1=9 and 9 is multiple by 3.

Is the 4567 divisible by 3?

No! because 4+5+6+7= 22 and 22 is not multiple of 3.

Here is the picture and video!!