HOW is the subtraction of integers related to the addition of integers? The Number System Course...
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Transcript of HOW is the subtraction of integers related to the addition of integers? The Number System Course...
![Page 1: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/1.jpg)
HOW is the subtraction of integers related to the addition of integers?
The Number System
Course 2, Inquiry Lab before Lesson 3-3
![Page 2: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/2.jpg)
Course 2, Inquiry Lab before Lesson 3-3
Activity 1 Continued
The Number System
A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances.
Place 5 positive counters on the mat. Remove 6 negative counters. However, there are 0 negative counters.
Use counters to find 5 – (–6), the difference between the distances.
![Page 3: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/3.jpg)
Course 2, Inquiry Lab before Lesson 3-3
Activity 1 Continued
The Number System
A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances.
Add zero pairs to the mat.
Use counters to find 5 – (–6), the difference between the distances.
![Page 4: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/4.jpg)
Course 2, Inquiry Lab before Lesson 3-3
The Number System
A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances.
Use counters to find 5 – (–6), the difference between the distances.
Now you can remove negative counters. Count the remaining positive counters.
So, 5 – (–6) = . The difference between the distances is meters.
The model shows that removing 6 negative counters yielded the same result as adding 6 positive counters.
![Page 5: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/5.jpg)
Course 2, Inquiry Lab before Lesson 3-3
Activity 2 Continued
The Number System
Use counters to find –6 – (–3).
Place 6 negative counters on the mat.
![Page 6: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/6.jpg)
Course 2, Inquiry Lab before Lesson 3-3
The Number System
Use counters to find –6 – (–3).
Remove 3 negative counters.
There are negative counters remaining. So, –6 – (–3) =
![Page 7: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/7.jpg)
Course 2, Inquiry Lab before Lesson 3-3
Activity 3 Continued
The Number System
Use counters to find –5 – 1.
Place negative counters on the
mat. You need to remove 1 positive
counter. However, there are 0 positive
counters.
Add one zero pair to the mat.
![Page 8: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/8.jpg)
Course 2, Inquiry Lab before Lesson 3-3
The Number System
Use counters to find –5 – 1.
Now you can remove one positive counter. Find the remaining number of counters
There are negative counters remaining. So, –5 – 1 =
The model shows that removing one positive counter yielded the same result as adding one negative counter.
Check Find –5 + (–1). Is it the same as –5 – 1?–5 + (–1) = –6
![Page 9: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…](https://reader036.fdocuments.us/reader036/viewer/2022082912/5a4d1bc67f8b9ab0599d5310/html5/thumbnails/9.jpg)
Course 2, Inquiry Lab before Lesson 3-3
HOW is the subtraction of integers related to the addition of integers?
The Number System