how can you recognize when two integers

are opposite numbers

Two integers are considered opposite numbers when they have the same absolute value but different signs.

One way to recognize if two integers are opposite numbers is by checking if their signs are different. If one number is positive and the other is negative, they are opposite numbers. For example, 5 and -5 are opposite numbers because one is positive and the other is negative.

Another way to recognize opposite numbers is by comparing their absolute values. If the absolute value of one number is equal to the opposite of the other number, then they are opposite numbers. For example, the absolute value of 7 is 7, and the opposite of -7 is also 7. Therefore, 7 and -7 are opposite numbers.

In summary, two integers are opposite numbers if their signs are different or their absolute values are equal but opposite.

To recognize when two integers are opposite numbers, follow these steps:

Step 1: Identify the given integers
Take note of the two integers that you want to determine if they are opposite numbers.

Step 2: Determine the signs
Check the signs of the integers. If one integer is positive (+) and the other is negative (-), it is an indication that they are opposite numbers.

Step 3: Compare the absolute values
Consider the absolute values of the integers. If the absolute values are the same, it further confirms that the integers are opposite numbers.

Step 4: Verify using addition
You can also verify the result by adding the two integers together. If the sum is zero, it means the integers are opposite numbers. For example, if one integer is 5 and the other is -5, adding them together would give you zero: 5 + (-5) = 0.

By following these steps, you can recognize when two integers are opposite numbers.