Wednesday, December 21, 2011

2+3x4-5
2+12-5
14-5

2
27x5+3
27x5+9
135+9

Greatest Common Factor

Greatest Common Factor (G.C.F)- the number with the greatest value that two or more numbers are divisible by.

e.g. find the G.F.C of 32 and 24 using divisibility rules and a Venn diagram

Common Factor

Common Factor- a number that two or more numbers are divisible by.

e.g. 4 is a common factor of 8 and 12

another example: find the common factors of 12 and 16

Lowest Common Denominator.

In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions without the same. It is the smallest multiple of the denominators.

Here is a website you can go to, to play games about fractions, percents and decimals.

How To Do BEDMAS

B is for Brackets
E is for Exponents
D is for Division
M is for Multiplication
S is for Subtraction

Divisibility rule for 2

all numbers that end in 0, 2, 4 ,6 ,8 ,

Divisibility rule for 5

Any number ending in 5 or 0

0rdering Percent

In order to order percents you have to put the highest number that is closest to 100%
Ex.
50% 75% 85%

ordering decimals

If a decimal has more zeros it means the smaller the fraction is so be smart if you has to pick with was bigger don't pick the one with eight zeros

Ex .

0.50 or 0.000000000000055555

BEDMAS

B.E.D.M.A.S
Brackets
exponents
division
multiplication
subtraction

To solve a b.e.d.m.a.s question you must check brackets going down from there you put those questions in order

B.E.D.M.A.S
brackets
Exponents
division
multiplication
subtraction

Monday, December 19, 2011

Divisibility Rules

Rules for 1: all whole numbers are divisible by one
Rules for 2: all whole even numbers are divisible by 2, ends in 0,2,4,6,8
rules for 3: the sum of the digit of the whole number is divisible by 3
rules for 4: all whole numbers that are divisible by 2 twice
rules for 5: all whole numbers that ends in 0 or 5
Rules for 6: if the whole number is divisible by 2 and 3 is divisible by 6
rules for 8: all whole numbers that are divisible by 2 3x
rules for 9: the sum of the digit of the whole number is divisible by 9
rules for 10: all whole numbers that ends in 0

Friday, December 16, 2011

Divisibility Rules continued.

8-If the number is divisible by 2 twice,
9-If the sum of the number is divisible by nine.
10-if the number ends in 0.

Thursday, December 15, 2011

Equivalent Fractions

Did you know that equivalent fractions are almost like reduced fractions? They are! If you don't believe me, please look at the diagram below.

See the similarities? Four eighths and one half are equivalent fractions and four eighths also can be reduced to one half for the most proper answer.
If you have trouble reducing fractions, then keep reading this post.

All we have to do is divide. if you don't understand, look at the picture below.
See? If you still don't understand, ask someone who knows to help you. I'd love to help you if you need help or even Mr. Isfeld. But remember, don't just sit there and struggle. If you need help, ask someone who can help.

Thanks for reading my post. And remember to study for the test on Friday, finish all your unfinished pages in your number of the day booklet and homework booklet, and make at least 5 posts on this blog before Christmas break of you'll be missing the movie in the morning and dance in the afternoon on Wednesday.

Divisiblility Rules for 4

4=2x2
All numbers that are divisible by 2 twice
Eg. 16/2=8
8/2=4
then 16 is divisible by 4

2+5x (4+3) x4 -2
2+5x7x4-2
2+ 35x4-2
140+2-2
142-2
140

(6+2)/2+6/3-2x2
8/2+6/3-2x2
4+6/3-2x2
4+2-2x2
4+2-4
6-4
[2]

math8

8/9-2/9=6/9
9/14-1/14=8/14

14/15-2/15=12/15
23/24-11/24=12/24

math7

2/10+5/10 or1/2=7/10
1/12+8/12=9/12

Wednesday, December 14, 2011

Textbook Question #4 on page 222

Question:
Copy and complete the table. If the number in the left column is divisible by the number in the top row, put a . If it is not divisible, put an X.

Solution:
Lets start with 630. 630 is divisible by 2, 5 and 10 because 630 ends in 0. It's divisible by 3 and 9 because the sum of the number is 9. 9 is divisible by 3 and 9. It's divisible by 6 because it's divisible by both 2 and 3.

The next number is 5184.  It is divisible by 2 because it ends in 4, an even number. It is divisible by 3 and 9 because the sum of the number is 18. 18 is divisible by both 9 and 3. It is divisible by 4 because if you divide 5184 by 2 twice, you get a number with no remainder. It's divisible by 8 because if you divide 5184 by 2 thrice, you get a number with no remainder.

This number, 2035 is only divisible by 5 because 2035 ends in 5.

Finally, 810 is divisible by 2, 5 and 10 because 810 ends in 0. It's divisible by 9 and 3 because the sum of the number is 9, which can be divided evenly by 9 and 3. It is divisible by 6 because 810 is divisible by both 2 and 3.

I hope this video helps.

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

Divisible

When a number can be divided by another
number, with no remainder.

Numerator

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

Multiple

The product of any given number
and natural number
like 1, 2, 3...
eg. some multiples of 3 are
3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Reminder for test on Friday!

Don't forget about the test on Friday it's very hard so study!

Rule for 1

Rule for 1- all whole numbers divisible by 1

e.g. 3/1= 3 or 111/1= 111

7958.632

chapter review 6
224-225

Common Denominator

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

eg. a common denominator for one fourth and one sixth is 12
because a common multiple of 4 and 6 is 12

Divisibility Rules

1- Every whole number are divisible by 1.
2-All even numbers (ending in 0,2,4,6,8).
3-If the sum of the number is divisible by 3.
4-If the number is divisible by 2 twice.
5-If it ends in 0,5.
6-If it is divisible by 2 and 3.
7-You can double the last digit and subtract the sum from the rest of the number, and set an answer that is divisible by 7 ( including 0).

Divisiblility Rules.

1. All whole numbers are divisible by 1.
2. All whole numbers that end in 0,2,4,6,8 is divisible by 2.
3. The sum of the digits is divisible by 3,
4. All whole numbers that are divided by 2 twice and the sum is a whole number it is divisible 4.
5. All whole number that end in 0,5 are divisible 5
6. If the whole number is divisible by 2 and 3 is divisible by 6.
7. There is NO divisibility rule for 7.
8. All whole numbers that you divided thrice times (three times) and equals a whole number it is divisible by 8.
9. The sum of the digits is divisible by 9.
10. All whole numbers that end with 0 is divisible by 10.
Hi!!

Tuesday, December 13, 2011

due dates

Number of the day booklet is due Friday so is your math homework booklet guys dont forget to do it. Hope You guys do it. So you all can go to the dance.

Multiples

Multiples are the numbers you find in any times table. the multiples of 7 are the numbers in the 7 times table, 7, 14, 21, 28, and so on.

Hope that helps you out.

Lowest common mutiple

The Lowest common mutiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

Greatest common factor

Greatest common factor- Factors are the numbers you multiply together to get another number:
Then the common factors are those that are found in both numbers:
It is simply the largest of the common factors.

Divisibility Rules

Divisibility Rules:

1. ALL WHOLE NUMBERS ARE DIVISIBLE BY 1.

2. ALL EVEN WHOLE NUMBERS ARE DIVISIBLE BY 2. (0, 2, 4, 6, 8)

3. THE SUM OF THE DIGITS IS DIVISIBLE BY 3.

4. THE DIGIT CAN BE MULTIPLIES BY 2 TWICE.

5. THE LAST DIGIT ENDS IN 5 OR 0.

6. THE NUMBER IS DIVISIBLE BY 2 AND 3.

8. THE DIGIT CAN BE MULTIPLIED BY 2 THRICE.

9. THE DIGITS ARE DIVISIBLE BY 9.

10. THE LAST DIGIT IS 0.

Multiples

MULTIPLES: the product of any given number and natural number. Like: 1,2,3.

eg.) Some multiples of 3 are: 3,6,9,12,18 ....

As you can see, multiples is just skip counting.

Divisibility Rules

Divisibility Rules
#1: All whole numbers are divisible by 1
#2: All numbers that end in 0,2,4,6,8 are divisible by 2
#3:All sums of the digits is divisible by 3
#4: All numbers that can be divided in 2 twice are divisible by 4
#5: All numbers that end in 0 or 5 are divisible by 5
#6: All numbers that are divisible by 2 and 3 are divisible by 6
#8: All numbers that can be divided in 2 thrice are divisible by 8
#9: All sums of the digits are divisible by 9
#10: All numbers that end in 0 are divisible by 10

Example for #1: Whole numbers, no decimals.

Example for #2: The last number has to end in an even number.

Example for #3: e.g. 9+8+3+1+4+2=2+7=9 =983142 is divisibile by 3.

Example for #4: Cut the number in half 2 times. e.g. 200 divided by 2=100 divided by 2=50Yes! = 200 is divisible by 4.

Example for #5: 12345 is divisible by 5 because the last number is 5. 1234567890 is divisible by 5 because the last number is 0. 54321 is not divisible by 5 because the last number isn't 5 or 0.

Example for 6: e.g 6+3+9+6+3+9+6=4+2=6, so 6396396 is divisible by by 6.

Example for #8: Cut the number in half 3 times. e.g. 400 divided in 2=200 divided in 2 =100 divided in 2= 50Yes! = 400 is divisible by 8.

Example for 9: e.g. 1+8+9+7+2+3+6=3+6=9 = 9 is divisible by 9.

Example for 10: 12340 is divisible by 10 because the last number is 0. 12345 is not divisible by 10 because the last number isn't 0.

Chapter 2 pratice test

1. calculate 4.85 + 0.5 3.2.
2.15
2. calculate 98.2 - 4.8.
93.4
3. estimate 64.12 x 4.8
650
4. calculate (39-1.7) /10
3.75
5. what is the product of 8.5 x 0.7
5.95

pizza fractions

you oder one whole pizza you eat 5/6 slices what will you have left the answer is in the question

it is 5/6

1/10+2/10=3/10

7/9-1/9=6/9

textbook pg.74

for #1 to #4 choose the letter representing the
term that best matches each statement.

1.The accepted order for finding the value of math
expressions. D.order of operations

2.An estimate that is larger then the answer.
B.overestimate

3.an estimate that is smaller than the answer.
C.underestimate

A.estimate

math4

3/5+1/5=4/5

5/8 + 1/6 = 6/14

15/24 + 4/24 = 19/24

Textbook page #76

#1. Calculate 4.85 + 0.5 -3.2.
A 215 B 21.5 C 2.15 D 0.215

#2. Calculate 98.2 - 4.8.
A 93.4 B 103 C 9.34 D 934

#3 Estimate 64.12 x 18.1 by front-end estimation. What is the best estimate?
A 600 B 650 C 1200 D 1400

#4 Calculate (39- 1.7)/10.
A 0.0373 B 0.373 C 3.73 B 37.3

#5 What is the product of 8.5 x 0.7?
A 59.5 B 12.14 C 5.95 D 1.214
7/8-1/8=6/8

text book pg.129

9.What is the sum of each fraction statement?
write each answer is lowest term

a)1/6 + 1/6 = 2/6

b)1/4 + 1/4 = 2/4

c)3/5 + 1/5 = 4/5

d)5/12 + 1/12 = 6/12

e)3/10 + 7/10 = 10/10

Today's bedmas question

2
Bedmas question-(7+5)÷(3x2 )
(7+5)÷(3x4)
(7+5)÷12
12÷12
1

Divisibility Rules

Divisibility Rules:

1- all whole #'s are divisible by 1
2- all even #'s are divisible by 2 (2, 4, 6, 8, 0)
3- the sum of the digits of the # is divisible by 3
4- all #'s divisible by 2 twice
5- all #'s ending in 5 or 0
6- all #'s divisible by 2 and 3
8- all #'s divisible by 2 thrice
9- the sum of the digits of the # is divisible by 9
10- all #'s ending in 0

Divisibility rule for 4

4=2x2
All numbers that are able to divide by 2 twice
eg 16÷2=8÷2=4

so 16 is divisible by 4

Common Denominator

Common denominator- a common multiple of the denominators of a set of fractions.

eg. a common denominator for 1/4 and 1/6 is 12.

4- 4,8,12,16,20
6- 6,12,18,24,30

Because a common multiple of 4 and 6 is 12.

Multiples

Multiple- the product of any given natural number like 1, 2, 3, etc.
eg. multiples of 3 are 3, 6, 9, 12, 15, 18, etc.

Find the first 5 multiples of each #;
2- 2, 4, 6, 8, 10
3- 3, 6, 9, 12, 15
4- 4, 8, 12, 16, 20
5- 5, 10, 15, 20, 25
8- 8, 16, 24, 32, 40
12- 12, 24, 36, 48, 60

Factor

Factor- is a number that can go into another with no remainder.

e.g. 12/2=6

12 is divisible by 2
2 is a factor of 12

Multiple

Multiple- the product of any given number and natural number like 1,2,3...

eg.
some multiples of 3 are:
3,6,9,12,15,18...

Multiple is just skip counting.

Rule for 1

All whole numbers are divisible by 1
Example: 1,2,3,4,5,6,7,8,9

Rule for 5

All numbers that end in 0 or 5.

Example:
5,10,15,20,25,30,35,40,45

Monday, December 12, 2011

What is a numerator and a denominator?

The numerator is the top number of the fraction. It tells how many parts of the whole we are dealing with.

The denominator is the bottom number of the fraction. The name gives you a clue on which number it is. DEnominator. DE usually means make lower, bottom.. The denominator tells how many parts of the whole is equally divided into.

Multiples and factors - The Difference.

Multiples and factors are very different. In fact, they are the opposite of each other.

Multiples are the product of any given number and natural number like 1, 2, 3. They are bigger than the given number you are finding multiples for. The only multiple that isn't bigger is the first multiple, the number itself.

e.g. 2. - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, and so on..

While factors are numbers that can go into one another with no remainder. They are smaller than the given number you are finding factors for. The only factor that isn't smaller is the last factor, the number itself. The factors of 10 are, 1, 2, 5, 10. You can multiply those numbers to get 10.

e.g. 2 x 5 = 10. Thpse 2 numbers in the multiplication sentence are factors of ten.

See? They are very different.

Subtracting with unlike denominators

Subtracting unlike denominators is no different from adding unlike denominators.
You must find the least common multiple.

2/3 - 4/7 =

L.M.C. for 3 and 7

3, 6, 9, 12, 15, 18, 21
7, 14, 21, 28, 35, 42, 49

2/3
3x7 = 21
2x7 = 14

14/21

4/7
7x3 = 21
4x3 = 12

12/21

14/21 - 12/21 = 2/21

That's how you subtract with unlike denominators!

How to add with Unlike Denominators.

This is how to add with unlike denominators.

First, you must find the Lowest common multiple (LCM) of the denominators. The denominators are the bottom number of the fraction, which tells how many parts of the whole is equally divided into.

In this case, 12 is the lowest common factor of 3, and 4.

Once we have found the LCM, you have to find a way to get your current denominator to twelve. But always REMEMBER. What you do to the bottom, YOU HAVE TO DO TO THE TOP.

So, in order to get 3 to 12, you have to multiply it 4 times. So we end up with Four Twelfths.
Now onto two fourths, which you can also call one half.. In order to get 4 to 12, you have to multiply it by 4 to get to 12. So we end up with six twelfths.

Add all of them together. And you get Ten Twelfths. You don't have to add the denominator.

That is how you add unlike denominators.

Steps on how to do adding fractions with unlike denominators.

1) You have two fractions.

eg.

2) Now you find the multiples of the two denominators until you find a L.C.M. (lowest common multiple).

eg.

4- 4, 8, 12, 16, 20

6- 6, 12, 18, 24, 30

So the L.C.M. is 12.

3) Next you make an equivalent fraction.

How do you get from 4 to 12 and how to you get from 6 to 12?

eg.

Always remember whatever you do to the bottom you must do to the top.

4) Now we have two fractions that have the same denominator now we can add them together.

eg.

Then you make it into it's simplest form but you can't make 5/12 simpler.

So this is how you add fractions with unlike denominators.

To add unlike denominators, you must find the L.C.M. (least common multiple)

5/8 + 1/6 =

L.C.M. for 6 and 8
8, 16, 24, 32
6, 12, 18, 24

5/8
8x3 = 24
5x3 = 15 Whatever you do to the top, you must do to the bottom.

1/6
6x4 = 24
1x4 = 4

15/24 + 4/24 = 19/24

That's how you add with unlike denominators.

Subtracting with like denominators

Subtracting with like denominators is the similar to adding with like denominators.
Subtract the numerators only and keep the denominators the same.

Numerators- top number of a fraction
Denominators- bottom number of a fraction

2/4 - 1/4 = 1/4 Correct
2/4 - 1/4 = 1/0 Incorrect The answer is not even possible.

Try this, 3/4 - 1/4 =

Numerators- top number of a fraction
Denominators- bottom number of a fraction

2/4 + 1/4 = 3/4 Correct

2/4 + 1/4 = 3/8 Incorrect

Try 5/12 + 1/12=

1) Find the common denominator

LCM(lowest common Multiple) of 1/4 and 1/6 is 12
-Multiple: the product of any given number and natural number like 1,2,3
Multiples is just skip counting

eg: some multiples of 3 are 3, 6, 9, 12, 15, 18
Some multuples of 5 are 6, 12, 18 24
So the LCM(lowest common multiple) of 4 and 6 is 12

Divisibility Rules

Rule for 1- All whole numbers are divisible by 1

Rule for 2- All even numbers are divisible by 2 twice

Rule for 3- The sum of te digits is divisible by 3

Rule for 4- 4=2x2 all numbers divisible by 2

Rule for 5- All numbers endig in 0 or 5 eg: 5,10,15,20,25....

Rule for 6-If the number is divisible 2 and 3

Rule for 7- Use a calculator!

Rule for 8- 8=2x2x2 All numbers divisible by 2 thrice

Rule for 9- The sum of the digits is divisible by 9

Rule for 10- All numbers ending in 0 or 5 eg:10,20,30,40,50

1)Find the common denominator but it must be the LCM (Lowest Common Multiple).

A Multiple- Is the product of any given number and natural number like 1,2,3.
eg. Multiple of 3 are ; 3,6,9,12,15,18,21 etc.

Multiples of 2 are 2,4,6,8,10,12,14,16,18 Multiple of 5 are 5,10,15,20,25,30,35,40

You can't add that, so you have to find the common multiple .

Multiple of 4- 4,8,12,16,20,24,28,32,
Multiple of 6 - 6,12,18,24,30,36,42
12 is the common multiple between those numbers.

The next step is to put " 12"(in this case) The new denominator and whatever you multiply in the bottom, you must do in the top.

The last step is to add it all up.

Multiple -

The product of any given number and natural number like 1,2,3 ...
Eg. some multiple of 3 are: 3,6,9,12,15,18
multiple is just skip counting

Common Denominator-

a common multiple of the Denominator of a set of fraction
Eg.a common Denominator for 1/4 and 1/6 is 12 because a common multiple of 4 and 6 is 12
1/4= /12
1/6= /12

Rule for number 2

All even numbers are divisible by 2.

Example: even numbers end in 0,2,4,6,8
Odd numbers end in 3,5,7,9

Numerators and Denominators

A numberator is the top number of a fraction
A denominator is the bottom number of a fraction and it tells how many equal parts are in a whole.

Example:

Adding and subtracting fractions with unlike denominators

eg.
1/4 + 1/6 or 3/5 -1/2

You must find a common denominator to make the bottom number the same.
Common Denominator- a common multiple of the denominators of the set of fractions.
eg.
a common denominator for 1/4 and 1/6 is 12 because a common multiple of 4 and 6 is 12.
Multiple- the product of any given number and natural number like 1,2,3.....
Eg.
some multiples of 3: 3,6,9,12,15,18

You must find the 1st 5 multiples of each number
To make a common denominator you must find L.C.M- lowest common multiple

4 and 6

6- 6,12,18,24,304- 4,8,12,16,20

the L.C.M is 12
Once you find a common denominator, you make an equivalent fraction

eg.

3/12 + 2/12= 5/12

What is a Numerator and a Denominator

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

What is a Denominator
A denominator is the bottom number of a fraction and tells us how many parts of the whole is divided into.
Eg.

Sunday, December 11, 2011

What is a Numerator and a Denominator

The Numerator is the top number of the fraction and tells us how many equal parts of the whole we have or are dealing with.
The Denominator is the bottom number of a fraction and tells us how many parts the whole is divided into.

Saturday, December 10, 2011

Numerator and Denominator

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

Example:

- A denominator is the bottom number of a fraction that tells us how many equal parts of the whole is divided into.

Example:

Friday, December 9, 2011

Simplest form is a fraction simplified.
6÷3 2
-- -- = --
9÷3 3
The simplest form of 6 over 9 is 2 over 3

A Numerator Is the top part of the fraction.
15 Numerator
----
16

A Denominator tells how many equal parts are in a whole, and its at the bottom at the fraction
15
----
16 Denominator

Thursday, December 8, 2011

Subtracting fractions

Subtracting fractions with like denominators.

3/6 - 2/6 = ?

Textbook Pages

Textbook, pages 214-216

Subtracting Fractions with denominators.

Textbook, pages 214-216

Subtracting Fractions

- You Subtract the numerators (top numbers) and you put your answer over the same denominator(bottom number)

Simplest terms: half of 8 is 4 so...
4/8 is equal to 1/2

Prime Factors

What is a prime factor?
1) Prime factor is a number with only two factors. 1 and itself.
2) Prime factor goes into a number with no remainder or a decimal.

Try this!
1) Find all prime factors of 18.
Another way to find the prime factors of 18 or any other number is called a Factor Tree!

Some Math Definitions

Divisible-When a number can be divided by another number, with no remainder.

Example: 24 divided by 4= 6.

Quotient- It is the result or answer to a division question.

Example: 24 divided by 8 = 3.

Factor- It is a number that can go into another number with no remainder.

Example: The factors of 24 are; 1,2,3,4,6,8,12,24.

Common Factor- A number that two or more numbers are divisible by.

Example: The common factors of 12 and 24 are 1,2,3,4,6, and 12.

Greatest Common Factor- The number with the greatest value that two or more numbers are divisible by.

Example: The greatest common factor of 12 and 24 is 12.

Go to this website to find more math definitions.

Tuesday, December 6, 2011

Page 146 #4

a) Find 10% out of 25

What ever you do on one side, do on the other

Textbook Page 121

D.

Always remember, when you are subtracting two fractions the numerator changes and the denominator always stays the same.

If you are still having trouble with subtracting fractions and making them into lowest terms then here is a link that might help you.

If this link still doesn't help you then here is a video that might be easier to understand.

Hope this helped you with subtracting fractions and making them into lowest terms!

Subtracting Fractions like denominators

Subtracting fractions with the same denominators is basically just subtracting the numerator. The denominator stays the same.

For example:

This is a very good video. It helps you understand to keep the denominator the same for addition and subtraction while you learn it in a fun way. Hope you enjoy it!

Page 215 #12

Jaymel's answer to this question is..

Is he correct?

A) No, he is not correct BECAUSE...

Divisibility Rules For 8

All numbers thats divisible by 2.

24 divided by 2 = 12

12 divided by 2 = 6

6 divided by 2 = 8

24 is divisible by 8.

The Answer For #13 on the Textbook Page #221

The question asks, the sum of two fractions is 1. If the difference(the answer to a subtraction question) between the two fractions is two eighths, what are the two fractions?

What it`s asking is, (fraction A) plus (fraction B) should equal 1, but (fraction A) subtract (fraction B) should equal to two eighths. If you still don`t understand, please look at the diagram.

So what you have to do first is, find all the possibilities that will equal eight eighths. Please look at the following diagram.

Now, you should make all the equations subtraction questions instead of addition. Once you do that, which subtraction equation equals two eighths?

So there is the solution to #13 on page 221.

Fractions that equals 1

Any fraction were the numrator and denominators are the same

What we Learned in Math Today

Subtracting with like denominators
six sixths - two sixths =four sixths

Divisible rule for 1

All numbers are divisible by 1
eg. 5÷1=5
eg. 000 ÷ 0= 1

Monday, December 5, 2011

Divisibility rule for 10

All numbers that end in 0 are divisible by 10.

eg: 10, 20, 30, 40, 50, 60, 70, 80, 90.

Page 214, #8.

What this is saying is to add both of the pictures up. But don't add the denominator.

Then you have to find a way to make the fraction into the lowest terms you can put it in to.

e.g. 2  in lowest terms is 1
......-- ............................--
......4 ............................2
Now I will answer the questions.

A) ..2...1....3
......-- + -- = --   Three-fourths in lowest terms is.. Three-fourths...
......4....4.. 4

B) ...5....1....6
.......-- + -- = --     Six-Eighths in lowest terms is.. Three-fourths...
.......8....8....8

C) ...4...3....7
..... -- + -- = --      Seven Tenths in lowest terms is..  Seven-Tenths...
......10..10..10

Divisibility rule for 9

The sum of the digits is divisible by 9
e.g - Random number: 1897236. Then you have to add them all up - 1+8+9+7+2+3+6 =36... If you don't if 36 is divisible by 9, then add 3 and 6... 3+6=9. 9 is divisible by 9, so 1897236 is divisible by 9.
Random number: 37836547. 3+7+8+3+6+5+4+7= 43, 4+3= 7. 7 is not divisible by 9, so 37836547 is not divisible by 9.

Divisibility Rule for 2

Rule for the number 2
All even numbers are divisible by 2

eg. 0,2,4,6,8

Divisibility Rules: #5

Divisibility Rule for 5 - the last digit of a whole number has to be either 0 or 5. (The quotient has to be a whole number).
eg. 5, 10, 15, 20, 25, 30, etc.

Rule for 6.

Divisibility Rule for #6
If the number is divisible by 2 AND 3 then it's divisible by 6. why? because 2 x 3 =6
EXAMPLE- 6396396
2 goes in because it ends with 6 an even number.
Now check if 3 goes in. add all the numbers up.
6+3+9+6+3+9+6 = 42 . 3 goes in 42 so it's divisible by 6.
If your not sure, take this extra step.
4+2 = 6 . 6 goes into 3. There for 6 goes in 6396396.

Page 214 Question and Answer for #9

What is the sum of each fraction statement? Write answer in lowest term.

-------------
Sum

Lowest term is to reduce the fraction. which means you find a number that goes into the numerator and denominator. For example 2/6=1/3 the number that goes into 2 and 6 is 2. 2 goes into 2 once and 2 goes into 6 three times. Numerator is the number at the top- and denominator means the number that is at the bottom_.

Numerator
------------
Denominator

a) 1/7 + 2/7= 3/7
b) 5/12 + 5/12 = 10/12 or 5/6
c) 1/3 + 1/3=2/3
d) 4/9 +2/9= 6/9 or 2/3
e) 3/10 +7/10= 10/10 or 1

You only add the numerator and leave the denominator the same. If possible reduce the fraction into its lowest term.

Divisibility Rules : Rule for 3

Divisibilty rule for 3

To find if a number is divisible by 3 you have to see if the sum of the numbers is divisible by 3.

Eg: 1236. 1+2+3+6=12
if you don't know if 12 is divisible by 3, add up the 2 digits. 1+2=3
1236 is divisible by 3.

Let's try this. 1467523
1+4+6+7+5+2+3=28
If your not sure if it's divisible by 3 or not, add the 2 digits.
2+8=10
1+0=1
1 is not divisible by 3

Try this question in the comments.
983142. Is it divisible by 3?

The other divisiblity rules are either posted or are being posted soon by other people. Make sure you check those out.

Textbook Question #6

This question can be found on page 214 of your textbook.

To answer these question correctly you have to add these fractions properly.  You add the numerators together. Do not add the denominators together.

eg. Right:one half + one half = two halves or one whole.
Wrong:one half + one half ≠ two fourths.

a)

b)

c)

*I didn't show my estimating because I felt that you don't really need to. Also, I didn't understand what the textbook meant by estimating the answer.

What Fractions Equal 1?
When the Numerator (up) and the denomenator (down) have the same number.