Mathematical+Reflections,+p.+33

Sudhir Mandarapu 06/04/09 7B Mathematical Reflections Accentuate the Negative Page 33 If you add two integers and the sum is positive, then the two integers are positive, or one negative integer having a smaller absolute value than the other positive integer, or if a positive integer and zero are added together. If the sum is zero, two opposites were added. And if the sum is negative, then two negative integers have been added. ** 2.) ** **Describe how to add any two integers**. An easy way to add integers is, (we learnt this technique in this unit) to use chips and a chip board, 1 red chips would represent -1, and 1black chip would represent +1, you place each integer on either side of the chip board, so if the sum is -5+3, then 5 red chips on one side, and 3 black chips on the other side, now line the red and black chips beside each other, take away a pair of the two colors (one black and one red), if you do this 2 red chips will be left, so the answer to this problem is -2.  source:http://allinalabama.com/images/460523_poker_chips.jpg To find the opposite of any integer, just find the opposite integer on the other side of zero.
 * 1.) When you add two integers, how can you decide whether their sum will be positive, negative, or zero? **
 * 3.) Explain how you can find the opposite of a number. Use the following examples to illustrate your explanation. **
 * a. 7 b. 0 c. -12 **

a. -7 b. 0 (doesn’t change) c. 12

In this investigation, we learnt a new way for adding integers, using a chip board, and using the number line, most of this investigation was about adding Integers.
 * Summary: **