Saansouk's multiplying integer scribe

The Sign rule

• When multiplying integers with the same value (-2) x (-2) = the product will always be positive.
• When the value of integers are different (+2) x (-2) = the product will be negative

The Same Value:
When the first number is a (-) it means that if the the second number was a (-) you would have had to make a zero pairs and then take away the negatives.

Example: (--)(--)--->

         (++)(++)

When the first number is a (+) and the second number is a (+) you are basically doing regular multiplication.

Example: (++)(++)

The Opposite Value:

When the first number is a (+) and the second number is a (-) you are multiplying regular numbers just with a negative with it.

Example: (--)(--)

When the first number is a (-) and the second number is a (+) you are going to make a zero pairs but take away the positives.

Example: (--)(--)

                      (++)(++)--->

Number Lines:

This includes all of the sign rule example all you have to do is put how many arrows the first amount uses and then add to the number line using the second number.

Examples:

                   0

<-----------+------+--->

                   -->-->(+4)

                   0

<---+------+---------->

    (-4) <--<--

That concludes this scribe and I hope it was a good one.

Nicklaus' multiplying integers scribe

Question #5
Write each repeated addition as a multiplication.
 A)   (+1)+(+1)+(+1)+(+1)+(+1)= 5 * 1 = 5
 B) (-6)+(-6)= 2 * -6 = -12

Question #7

 Write each expression as a repeated addition.

A)  (+3)*(+8)= (+8)+(+8)+(+8)= (+24)

B)  (+5)*(-6)= (-6)+(-6)=(-6)+(-6)+(-6)= (-30)

Question # 13

Copy and Complete each multiplication statements.

A) (+4)*(+6)= (+24)   

B) (+7)*(-2)= (-14)

C) (-1)*(+5)= (-5) 

D) (-8)*(-2)=(+16)

Question # 15

An aircraft descends at 3 m/s for 12 s. Use multiplication to represent the situation.  How far does the aircraft descend?

3*12= 36     The aircraft descend 36 m.

Question # 17

An oil rig is drilling 2 m/min. How deep is the well after the first 8 min?

2*8=16    The well is 16 m deep.

   

Angel's Multiplying Integers Scribe Post

One way of figuring out a multiplication integer equation is by using a number line.

For example: 6b) (+3) x (-6)

You first have to make a line with arrows facing outward on both ends and place a zero anywhere on the line. 

Next you have to make an arrow going left if it's negative and right if it's positive (in our case it's left) and label it -6. 

We do this two more times so we have three groups of -6. 

Where the arrow has ended will determine your answer which is -18.

Here is a picture showing all the steps:

Another way of figuring out a multiplication integer equation is by using the sign rule. 

For example: 8a) (+10) x (+4)

It is best to first multiply the numerals without thinking about the integers so 10 x 4 = 40.

Now look at your integers. If the two integers are the same, then the product is positive. If the two integers are different, they are negative. 

In our equation, the integers are both positives so the answer will be +40. 

Now let's do this with different integers.

For example: 8c) (-7) x (+5)

First we multiply the numerals: 7 x 5 = 35

Then we look at the integers and since the two integers are different, the product is negative which means the answer is -35.

Ainsley's Multiplying Integers Scribe

This is my post on how to multiply integers with different signs or the same signs.

The Sign Rule:

• When multiplying integers with the same value (+ or -), or for example (-2) x (-2) = the product will always end up being positive
• When the value of the integers are different (+,-) or for example (+2) x (-3)= the product will always end up being negative.

Another way:

1) When you have an even amount of (-) signs, the product will end up being positive.

(-4) x (-2) x (-1) = -8

|_______|

     +8       x (-1) = -8 

2) When there is an odd number of (-) signs, the product is negative.

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

remove 2 groups of 4 = -8                                 - - - -       - - - - 

Now, these are a few questions that I've solved using the sign rule : Math Links 8.2

17. Question: Without evaluating the products, identify the least product. Explain your reasoning.
 (+99) x (+82)
  (-99) x (-82)
 (+99) x (-82)
To answer this question, I chose (+99) x (-82) because if you recognize the sign rule, you know that when you multiply two integers with different signs, you get a negative. In this case, I didn't have to calculate it because I just saw the signs and I already know it's going to be a negative.

9. Question: Determine each product.
a) (-6) x (-6) = +36
I know that because if you multiply 6 x 6, you get 36. Also, they have the same signs and that means they are positive.
b) (+9) x (+6) = +45

c) (-12) x (+2) = -24
I know this because if you multiply 12 x 2, you get 24. Also, they have different integers and based on the "sign law/rule", when there are two different signs they are going to end up being negative.
d) (+11) x 0 = 0

Jonathan's multiplying integers

The Sign Rule

When you multiply integers with the same value (+ or -) the product  will always be positive. ex. (-5)x(-4)=+20 or 7x9=49

When the value of the integers are different (+,-) the product will be negative. ex. (+2)x(-8)=-16

Here are 3 more examples so you can understand the sign rule a little bit better-

(-4)x(+2)= -8                          since these integers have opposite signs, the answer will be a negative

remove 4 groups of 2

Now we need to make zero pairs because you can't remove -4 groups of 2.

 <(++++) (++++)>  you need to circle the groups and make arrows so you know if they are coming/going

      - - - - - - - -

Now you are left with -8 which is the answer.

+4x+8= +32                                the numbers have the same sign which means the answer will be positive

4 groups of 8

So all we need to do is make 4 groups of 8

(++++++++) (++++++++) (++++++++) (++++++++)

        ^                     ^                     ^                ^      

Your answer is 32           

(-3)x(-3)= +6                              3x3=6. You need 6 zero pairs

remove 3 groups of -3

       + + + + + +

 < ( - -  -)( -  -  -)>

Sign Rule Continue

When you have an even amount of (-) signs the product is positive. ex. (-5)x(+5)x(-5)=+125

When there are odd number of (-) signs the product is negative. ex. (+5)x(-5)x(+5)=-125

Let's do 2 more examples so you know this concept more well-

4x(-2)x(-2)=

4 groups of -2 groups of -2. This looks difficult so lets do this into parts.

4 groups of -2    (--) (--) (--) (--) this is -8  Now lets rephrase the question ( you don't have to do this step)

                           ^     ^    ^     ^

 It's now -8x-2= +16                8x2=16=16 zero pairs                      + + + + + + + + + + + + + + + +           remove 8 groups of -2                                            <  ( -  -) ( -  -) (-  -)  (- -)  (-  -)  (-  -)  (- -)  (-  -)>

(-3)x4x1=

remove 3 groups of 4 groups of 1

remove 3 groups of 4                               <( +++)(+++)(+++)(+++)>        = -12

                                                                     - - - - - - - - - - - -

-12x1=-12

remove 12 groups of 1                        < (+) (+) (+) (+) (+) (+) (+) (+) (+) (+) (+) (+)>

 -12 is the answer                                    -     -    -    -     -   -    -     -    -    -    -    -

Thanks for looking at my scribe post. Be sure to comment on my work and give me any suggestions if I made a mistake. Here's a video about the sign rule that will make you a genius. 

Sign Rule Scribe post #2 Patricia A.

The sign rules (short) 

When multiplying integers with the same value (+or-) (-2)x(-2) the product will always be positive. 

When the value of the integers of (+,-) (+2) x(-3) The product is always negative 

Sign rules cont'd 
(+4)x(-2)x(-1)=
       8 x (-1)=+8 
When you have even amount of (-) signs the product is Positive 

When there are an odd number of (-) signs the product is negative 

http://www.mathgoodies.com/lessons/vol5/multiplication.html

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