Ceci's ScribePost

multiplying integers

when the integers have different value, ( - or + ) the product is negative.

when the integers have same value, ( -,+ )the product is positive.
when multiplying integers, count the negative signs
odd number = negative
even number = positive

8.2 textbook

 10. Estimate and then calculate
    1)  (+17) * (-24) = 408
 est:  (+20) * (-24) = -480
I changed 17 to 20 because 17 is close to 20, also i can calculate 20 * 24 in my head fast. 
Then i used the sign rule to solve this question, when the integers have different value, the product is negative.

  2)  (+37) * (+22) = 814
est: (+40) * (+22) =880 
 I changed 37 to 40 because 37 is close to 40, also i can calculate 40 * 22 in my head fast. 
Then i used the sign rule to solve this question, when the integers have same value, the product is positive.

  3)  (-72) * (+15) =  -1080 
est: (-70) * (+15) = 1050

I changed 72 to 70 because 72 is close to 70, also i can calculate 70 * 15 in my head fast. 
Then i used the sign rule to solve this question, when the integers have different value, the product is negative.

 4)   (-28) * (-47) = 1316
est: (-30) * (-45) = 1350

I changed 28 to 30, 47 to 45 because 28 is close to 30,and 47 is close to 45 also i can calculate 30 * 45 in my head fast. Then i used the sign rule to solve this question, when the integers have same value, the product is positive.






12. A telephone company offer its customer a $15 discount per month if they also sign up for internet service. how much is the annual discount?
     (+12) * (-15) = -180
     12 groups of (-15)
    12 month of $15.00 off
I used negative sign for $15 because discount means off (getting 15 dollars off each month)
annual means one year, there are 12 months in a year, and we have $15.00 off each year. 
so we need to calculate how much is the annual discount, we multiply 12 by -15 because we have 12 groups of -15. Then we use the sign rule to solve this question, when the integers have different value, the product is negative. 12 * 15 equals 180, the answer has to be negative so, it is -180.



13. A hot air balloon is descending at 60 m/min. how far does it descend in 25 min?
        (+25) * (-60) = -1500 
       25 groups of (-60)
      25 min of 60 m/ min
I used negative sign for 60 m because descend means going down, the hot air balloon is going down 60 m/ min.
The hot air balloon is descending at 60 m/min, and the question ask how far does it descend in 25 min? that means, we have 25 groups of 60 because , 60 m/ min, and there are 25 of them. To solve this question we need to multiply 25 by (-60). we can use the sign rule to solve this question, when the integers have different value, the product is negative.  25 * 60 = 1500, the answer has to be negative so it is 



                                                                                                                                                                                                                                         




here is a video that can help you with multiplying integers (with the chip model)
multiplying integers is not hard, you can do it!
hope my scribe can help you!

Ceci's Scribe Post

Adding and Subtracting integers  (with no brackets)

Examples:

      (combining)

       - 7 + 2 = - 5

owe 7 & have 2 = owe 5

－ － － － － － －　＝　negative 5

＋＋

              -7

      <————— 0

<————|———|————>

　　——>-5

          +2 

we owed 7 dollars, but we have 2 dollars, how much do we have now?

we owed more than we have so the answer has to be negative, 

7-2 = 5, because we owed more, so the answer is -5.

     (removing)

- Ｔo add or subtract something that's not there,

   you must add zero pairs.

    (only happens when you see two negative sign or two subtract sign right besides each other...)

 Ｅxample:

        

                (-7) - (-10) = +3 

owe 7 remove owe 10= have 3

－－－－－－－－－－－－－－－－－

　　　　　　　＋＋＋＋＋＋＋＋＋＋　＝　+３

we owed 7 dollars, but we want to re move 10 dollars from 7 dollars,

 you can't do it, so we have to add zero pairs, we have to add 10 

zero pairs, then remove 10 dollars, we have 7 zero pairs and 3 dollars

 left, we cross out the zero pairs then we get positive 3 (3 dollars).

more examples:

             (-1) - 2 = -3  we don't need to remove because the two negative signs aren't beside each other.

owe 1 & owe 2 = owe 3

             5 - (-2) = +7

have 5 remove owe two = have 7

            -7 + 8= +1

  owe 7 & have 8= have 1

           

            2 + (-5) = -3

  have 2 & owe 5 = owe 3

Ceci's Pay it Forward

PAY IT FORWARD 

2014 :)

BY: CECI ZHONG

    JOANNA BABADILLA

    PAM JOSEPH

    ALLISON CONCEPCION

Part 1 

What is pay it forward?

 Paying it forward is a way to thank our society by helping other people, we can do some simple things that can help others or make their days. the boy named Trevor in the movie <pay it forward>, he came up with the idea of paying it forward, it starts with one person to help 3 three other people to do something big , and these 3 people have to help 3 other people, and more...it spreads out, more people will involve to this activity, you can make a huge difference to the world just by doing something kind to others. These actions does not have to be huge, but just do something that can make them feel happy and warmth.

Part 2

What was your pay it forward act of kindness?

Our pay it forward act of kindness was to shovel the sidewalk of the street and walkway for our  neighbors; designing kitchenware items for our neighborhoods; giving out treats to teachers, putting candy canes (made in heart shape) with a small messages into people’s mail boxes and also we had also given a box of candy canes with a letter that has information of pay it forward to a day care.

Why did you choose this activity?

We choose these activities because its something that are helpful to them, and can make them happy. Shoveling the street snow, and neighborhoods walkway were very helpful to them. Because its hard to walk on thick cold snow, also it wastes a lot of time just to shovel a small area of snow, we did it for them so, they don’t have to come out to this very cold weather and shovel when they should have a rest or have a nice warm dinner with their family. We designed kitchenware items because, kitchenware items are useful to family, every family needs kitchenware items efforts that were putted in the designing shows how much we care about them, I am sure that you can feel the warmth when you look at it. We had given treats to teachers because we really want to thank them, they had helped us a lot, not only knowledge for school also knowledge for life. We dropped off candy canes with a small messages and information of pay it forward into peoples mail boxes, the main point of this activity was making their day by a candy cane and a small message, also we want them to know and understand what are we doing and what is pay it forward, so they can spread the information of pay it forward to other people or they can get started on pay it forward. The last thing that we did was giving a box of candy canes with a letter to the day care because, we wanted to let the teachers know what are we doing so they can teach kids about pay it forward, so in their heads, they have some ideas of pay it forward, candy canes also made them feel happy!

Who did you help?

We helped people around us, 

Teachers, 

Kids

Neighborhoods

(etc)

When did you do your act of kindness?

We did our act of kindness on December, 29th and December 30th .2013  

here is  our video ...

            

Part 3

How did your act of kindness go?

Our act of kindness was not going like what we had planned, a lot of thing are not as easy as we thought of, but we still tried our best to do it. Things that we really can’t do it such as, giving kitchenware items to the elderly home, we could not do it because they have to confirm with our teacher, but we don’t have our teachers’s number, so we decided to give these kitchenware items to our neighborhoods. Also it was hard for us to shovel snow in a very cold day for more than 2 hours. Even though our actions were not easy but when we see their smile, everything worth it .

What happened?(how did the person or people react? Did you ask them about pay it forward...)

Our group decided to go to one of our member’s house (BABADILLA) to work on our project. On the first day, we went to Walmart to buy all the materials that we need, then got back to Joanna’s house to get our shovels and get ready to shovel the sidewalk and neighborhoods’s snow. We planned two people to shovel and two people to take pictures and videos (rotated). When we were shoveling the first neighborhoods houses, a woman came out ans she was very appreciated what we did, she said “thank you” so many times, and gave us 20 dollars, we told her that we are doing this for “pay it forward” we don’t want to receive her money, when she heard we said we were doing this for paying it forward, her reaction was very surprised, she told us that she loves the movie pay it forward, but she wants us to receive the money so she has a chance to pay it forward. And after we received more money, we decided to donate these money to the Philippine Typhoon Relief. After we shoveled snow, we started to work on writing cards, designing kitchenware items, rapping gifts, and editing, it took us a lot of times to do it, after we go out again and dropped off candy canes, kitchenware items to people’s houses and mail boxes. 

How did you feel...? What did you learn?

I felt very satisfied and happy after I helped people and made them smile. Even though I always knew that its a good thing to help other people but I don’t experience it a lot, I didn’t really understand the main of helping, after I did this project, i will never ever forget the moment when people had a big smile on their face when they received our help, it was so beautiful, their smile lift up the whole world, at that moment you feel like the sun is shining on you, you can feel the heat even though you are standing in a temperature of -40co, you feel like you are the happiest person in the world! While working on this project I had learned how teamwork is very important because, if we don’t work as a team, we don’t cooperate each other, we would have a lot of disagreements, we wouldn’t be able to finish this project.

Why is the idea pay it forward important ?

Pay it forward is important because it makes people become more selfless from selfish, more positive from negative and it lets you experience the fun of helping others. while we were doing these act of kindness, we learned to be more selfless, we learned to think about other people, our community and the whole world. We work harder and have a big smile rather than complaining. Also we had fun while helping others.

Did your act of kindness make a difference?

I think our act of kindness did make a difference, because I could see people were touched by our action, this little “touched” might not make a big difference but it will spreads out, it will grow bigger and bigger, stronger and stronger.

Acknowledgment...

Thanks to all our grade eight teachers for always there to help us !

Thanks to Joanna’s family for letting us to work at their house!

Thanks to Joanna’s cousin who helped us to buy materials and helped us to make the kitchenware items!