3.3+Exploring+Patterns+0910


 * Show your work/thinking and include __at least one__ uploaded diagram or image.

Naasik Syed Math 7B ||
 * ~ April 18, 2010

__**//Big Idea: Negative//**__ **__//Numbers Help Us To Model Many Real World Situations Essential Question#3: How Do I Find the Difference Between Integers?//

Problem 3.3 Exploring Patterns__**

15-5=10 15-4=11 15-3=12 15-2=13 15-1=14 15-0=15

Question A: Describe any patterns you observe in the way the differences change as the integers subtracted from 15 get smaller

Answer: As the integers subtracted from 15 get smaller, the difference gets bigger.

Question B: Use the patterns you observed to predict the answer to 15- -1

Answer: 16. Click on this file to see the chip board.

Question C: Predict the answer to 15 - -4. Explain your reasoning

Answer: 15- -1= 15+1 Therefore 15- -4= 15+4.


 * __Follow Up__**

1. Study the equations below -10- 5=5 -10- 4=6 -10- 3=7 -10- 2=8 -10- 1=9 -10- 0=10

A. Describe any patterns in the way the defferences change as the integers subtracted from -10 get smaller

Ans. : The defference gets bigger

B. Use the patterns you observed to predict the answer to predict the answer to -10- -1

Ans. : -9

C. Predict the answer to 15- -4

Ans. 19 15- -1= 15+1 Therefore 15- -4= 15+4=19

2. When you add two negative integers, you get a negative sum. When you subtract two negative integers, do you get a negative difference? Explain

Ans. : No, if the negative integer on the right has a higher absolute value than the one on the right, the difference is positive