The document explains the multiplication of integers, specifically focusing on examples such as 3 times -2 and -4 times 2, illustrating the concept through repetition and visual cues. It emphasizes negatively signed integers and demonstrates how multiplication can be expressed in different orders, such as 2 x -4. Overall, the document aims to clarify the multiplication of integers with negative values.

1. MultiplicationMultiplication
of Integers

2. 3 x - 2

3. 3 x - 2
means

4. 3 x - 2
means 3 times - 2

5. 3 x - 2
0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
means 3 times - 2
1 time - 2

6. 3 x - 2
0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
means 3 times - 2
1 time - 22 times - 2

7. 3 x - 2
0 1 2 3 4 5 6- 1- 2- 3- 4- 5- 6 + + + + + +
means 3 times - 2
1 time - 22 times - 23 times - 2
- 6

8. Another Problem

9. -4 x 2

10. -4 x 2 OR 2 x -4

11. means 2 times - 4
-4 x 2 OR 2 x -4

12. 0 1 2 3 4- 1- 2- 3- 4- 5- 6 + + + +
-4 x 2 OR 2 x -4
- 7- 8
means 2 times - 4

13. 0 1 2 3 4- 1- 2- 3- 4- 5- 6 + + + +
1 time - 4
-4 x 2 OR 2 x -4
- 7- 8
means 2 times - 4

14. 0 1 2 3 4- 1- 2- 3- 4- 5- 6 + + + +
1 time - 42 times - 4
-4 x 2 OR 2 x -4
- 7- 8
means 2 times - 4

15. 0 1 2 3 4- 1- 2- 3- 4- 5- 6 + + + +
1 time - 42 times - 4
-4 x 2 OR 2 x -4
- 7- 8
means 2 times - 4

16. 0 1 2 3 4- 1- 2- 3- 4- 5- 6 + + + +
1 time - 42 times - 4
- 8
-4 x 2 OR 2 x -4
- 7- 8
means 2 times - 4