Which two numbers of the given data set have the same absolute value
To find two numbers in a given data set that have the same absolute value, follow these steps:
1. Obtain the data set. Let's assume the data set is: {-5, 9, -3, 6, 3, -9}.
2. Calculate the absolute value of each number in the data set. Absolute value is obtained by removing the negative sign, if any, and taking the magnitude of the number. For example, the absolute value of -5 is 5, and the absolute value of 9 is 9.
3. Group the numbers based on their absolute values. In this case, the absolute value of -5 is 5, so we group -5 and 5 together. The absolute value of 9 is 9, so we group 9 together. The absolute value of -3 is 3, so we group -3 and 3 together. The absolute value of 6 is 6, so we group 6 together. And finally, the absolute value of -9 is 9, so we group -9 together.
4. Identify if there are any groups that contain more than one number. In this case, the group of 9 contains two numbers (-9 and 9). Therefore, the two numbers in the given data set that have the same absolute value are -9 and 9.