Complete the entries by dividing the integers. | ÷ | 18 | -12 | |---|---|---| | 3 | 6 | -4 | | -2 | -9 | 6 | | ÷ | 21 | 42 | |---|---|---| | 3 | | | | 7 | | | | ÷ | -24 | -36 | |---|---|---| | -6 | | | | -4 | | | | ÷ | 0 | 70 | |---|---|---| | 7 | | | | -5 | | | | ÷ | 44 | -32 | |---|---|---| | -4 | | | | 2 | | | 1. What are the rules in dividing integers? 2. How did you find the activity? Can you share and describe your experience?
Answer (1)
When dividing integers, it's helpful to understand the basic rules to determine the sign and quotient of the result. Here’s a guide on how to approach it:
Dividing Positive Integers : If both integers are positive, the result is positive.
Example: 3 18 = 6
Dividing Negative Integers : If both integers are negative, the result is positive.
Example: − 6 − 24 = 4
Dividing a Positive Integer by a Negative Integer : The result is negative.
Example: − 3 21 = − 7
Dividing a Negative Integer by a Positive Integer : The result is negative.
Example: 9 − 36 = − 4
Completing the Entries:
Let's complete the table by dividing the integers given:
3 18 = 6
− 2 18 = − 9
− 4 − 12 = 3
6 − 12 = − 2
3 21 = 7
7 21 = 3
7 42 = 6
− 6 − 24 = 4
− 4 − 24 = 6
6 − 36 = − 6
7 0 = 0
− 5 0 = 0
− 5 70 = − 14
− 4 44 = − 11
2 − 32 = − 16
Experience with Dividing Integers:
Dividing integers can be straightforward once you grasp the concept of positive and negative signs. Always remember to consider the signs of the numbers you are dividing. In practice, creating tables or charts like this one is an excellent way to reinforce division skills and understand the rules by repeatedly applying them to different problems in a structured manner.
