873 Math (2010): "Order of Operations With Integers"

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Thursday, March 24, 2011

Joshua's Great Big Book Of Integers

Chapter 1

Grade 7 Integer Review

Integers can be represented with number lines or integer chips.

Negative - Blue
Positive - Red

Zero Pairs - a pair of negative and positive numbers whose sum is 0.

ex. (-8) + (+8) = 0.

This song will help you remember when to use a zero pair:
When subtracting something that isnt there, use a zero pair.

This is how we did integers in Grade 7.

Here are some questions we did.

Chapter 2

Multiplying Integers

Here we learned how to multiply integers. Here are some questions we did.

For questions needing a zero pair you can find out how many zero pairs you need by multiplying the two factors in the question without their negative or positive signs.

ex. (-2) x (+3) - 2 x 3 = 6

6 zero pairs

Chapter 3

Dividing Integers

Partative Division or groups of

If you know the number of groups, but you dont know the number in each group then that is partative division.

Quotative Division

If you know the number that is in each group, but you dont know the number of groups then that is quotative division.

You could also find the answer to a division question using multiplicated-inverse

In a division question with an even amount or no (-) signs the quotient will be positive.
In a divison question with an odd amount of negative signs the quotient will be negative.

Chapter 4

Order of Operations with Integers

(+5) x (-3) + (-6) / (+3) =

To answer this question you will need to folow the rules of B.E.D.M.A.S. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add square brackets around the expressions with a x or / to help remind you to answer them first. The square brackets means that you should answer the question in them before doing anything else.

Monday, March 21, 2011

Jomer's Great Big Book Of Integers

Chapter 1 Grade 7 Integer Review

Questions:
-3 - (-7)= +4
-3 -7= -10
3 -7= 4
3 +7= 10
-3 +7= 4

Chapter 2 Multiplying Integers

(+2) x (+3)=

(+2) x (-3)=

(-2) x (+3)=

(-2) x (-3)=

Sign Rule (Negative signs)
Even: When you have an even number of negative factors the product is positive.
Odd: When you have an odd number of negative factors the product is negative .

Chapter 3 Dividing Integers

Partitive Division is how many groups of a number are in a given value.

Quotative Division is sharing a certain number between a given value.

Sign Rule

In a division question with an even amount or no (-) signs the quotient will be positive.
In a division question with an odd number of (-) signs the quotient will be negative.

Order of Operations with Integers

[(+5)x(-3)]+(-6)/(+3)=-7

(-15)+(-6)/(+3)=-7

(-21)/(+3)=-7

Sophia's Great big book of integers

Integers can be positive or negative odd or even. A negative number is a number that is less than O. An even number can be divided by 2. An odd number can't be evenly divided by 2. O is an even number and it is not positive or negitive just 0

-NEGATIVE is blue
+POSITIVE is red
BOTH=zero pair

Remember the song "use a zero pair when subtracting something that is not there"
(use this song it will help)

Grade 7 way
Using brackets ( )

Standard form
Not using brackets ( X )

If you are having trouble and you don't understand intergers use a number line or think of it as money.(try it out right now)

Even= When you have an even number of negative factors the product is POSITIVE
ODD= When you have an odd number of negative factors the product is negative

Examples:

-11-(4)=-7 - - - - - - - (- - - -) Take this away

22-(-9)

22-+(-9)=31 + + + + + + + + + + + + + + + + + + + + + +

- - - - - - - - -

+ + + + + + + + +

These are supposed to be zero pairs
(sorry about the whole zero pair thing )

Sorry that I don't have blue and red circles but I think you get it

-9 +4 +(-9)

-9 +4 -9 Sorry I tried making a number line but it didn't work

-9 -9 +4 But a number line is a good strategy-for me anyway

-18+4= -14

example of multyplying integers:

7X-2

Forget the signs and multyply normaly

7X2= 14
Now you can go back to the signs
You know that a positive times a negative is a negative
So your answer is obviously -14

Sorry that I didn't do any of the chapters

Sunday, March 20, 2011

Brandon's Great Big Book of Integers

Chapter 1

Grade 7 Integer Review

Questions for class

-8 - (-4) = -4

-10 + 8 = -2

8 - 7 + 2 = 3

17 - (-3) = 14

- 5 - (-7) = 2

- 2 - 5 = -7

3 - 7 = -4

5 + 5 = + 10

-5 + 6 = - 1

Chapter 2

Multiplying Integers
(+4)x(+2) = 8

Make 4 groups of positive 2

Make 4 groups of negative 2

(+4)x(-2) = -8

(-4)x(+2) = -8
Remove 4 groups from positive 2

(-4)x(-2)= 8

Remove 4 groups of negative 2

Chapter 2

Dividing Integers

Even = When you have a even number of negative factors your product is positive.

Odd = When you have a odd number of negative factors your product is negative.

Partitive Division - when you use groups to find your quotient.

6 ÷ 2 = 3

(-6) ÷ (-2) = 3

Quotative Division - Sharing numbers in groups

(-6) ÷ 2 = - 3

Chapter 4

Order of Operations

(+6) x (-2) + (-6) ÷ (+2)= ?

1) Always do multiplication and division first
2)Put square brackets around (+6) x (-2) ex. [(+6) x (-2)]
3)Put square brackets around (-6) ÷ (+2) ex. [(-6) ÷ (+2)]
4) Solve (-12)+(-3) = + 15

Karl's Great Big Book of Integers

Chapter 1 Grade 7 Review
Questions from class
1) -3 - (-7)=4

2) -3 - 7=-10

3)3 - 7=-4

4) 3 + 7=10

5) -3 + 7 = 4

Chapter 2 Multiplying Integers

1) (+2) x (+3)= 6

+++ +++ 2 groups of +3

2) (+2) x (-3)= -6

--- --- 2 groups of -3

3) (-2) x (+3)= -6

4) (-2) x (-3)= +6

Sign Rule (Negative Signs)

Even: When you have an even number of negative factors the product is positive.
Odd: When you have a odd number of negative factors the product is negative.

Chapter 3 Dividing Integers

Partitive Division: When you use groups to find your quotient

ex. 6 ÷ 2= 3

-6÷ (-2)= 3

Quotative Division: Share a number between an amount of groups

ex. (-6)÷2= -3

Multiplicative Inverse: When you rewrite a division question to a multiplication question because you can't find a way to use partitive or quotative division.

ex. 6÷(-2)=
you can't share 6 with -2 people so you use the multiplicative inverse
(-2)x(-3)=6
(-3)x(-2)=6
answer: -3

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3) = ?

You can use BEDMAS to solve this question
BEDMAS stands for:
B-Brackets
E-Exponents
D-Division
M-Multiplication
A-Addiction
S-Subtraction

Ex.
There are no brackets or exponents so you could skip the B and the E.
There is a division question and that is (-6) ÷ (+3).
(-6) ÷ (+3) = -2.
The question now is (+5) x (-3) + (-2) = ?
There is a multiplication question and that is (+5) x (-3).
(+5) x (-3) = -15
The question now is (-15) + (-2)
Now all you have to do is solve (-15) + (-2).
(-15) + (-2) = -17.
Your answer is -17

Christian's Big Book of Integers

Chapter 1 Grade7 Integer Review

When something isn't there, make a zero pair.

1.) -3 - (-7) = 4

I made 7 zero pairs because I didn't have -7. So then I took away -7 and had 3 zero pairs.

Answer: +4

2.) -3 - 7 = -10

I made 7 zero pairs and took away 7.
Answer: -10

3.) 3 - 7 = -4

I drew -7 and +3. I had 3 zero pairs.
Answer: -4

4.) 3 + 7 = 10

I drew 3 then 7 more.
Answer: 10

5.) -3 + 7

I drew -3 and 7. I had 3 zero pairs.
Answer: 4

Chapter 2 Multiplying Integers

1.) (+2) x (+3) = 6

+++ +++ two groups of three.

2.) (+2) x (-3) = -6

--- --- two groups of negative three

3.) (-2) x (+3) = -6

+++ +++ -----> - - - - - - remove two groups of positive three

4.) (-2) x (-3) = 6

+++ +++ --- --- remove two groups of negative three

The Sign Rule for Multiplication

When theres an even amout of negative signs, the product will be positive.

When theres an odd amout of negative signs, the product will be negative.

Chapter 3 Dividing Integers

There are different ways to divide integers.

Partitive Division - When you use a numberline to divide integers.
Quotative Division - Share a number between an amout of groups.

Multiplication Inverse - When you rewrite a division question to a multiplication question. It helps when you can't find a way to use partitive or quotative division.

The Sign Rule for Division

The sign rule for division is almost the same as multiplication. The amout of negative sign rules is the same.