Which two numbers of the given data set have the same absolute value ? Explain your answer in full sentances
To find two numbers in a given data set that have the same absolute value, you need to compare the absolute values of each pair of numbers. Here's how you can do it step by step:
1. Start by selecting two numbers from the data set.
2. Calculate the absolute value of the first number by disregarding the negative sign, if there is any. For example, if the first number is -5, its absolute value is 5.
3. Repeat the same process for the second number, calculating its absolute value as well.
4. Compare the two calculated absolute values. If they are equal, you have found two numbers with the same absolute value.
5. If the absolute values are not the same, repeat steps 1-4 with a different pair of numbers until you find a matching pair.
For example, consider the data set: {-3, -4, 5, 6}. Let's go through the steps:
1. Select the first two numbers, -3 and -4.
2. The absolute value of -3 is 3.
3. The absolute value of -4 is 4.
4. Since 3 and 4 are not the same, move on to the next pair of numbers.
5. Select the next two numbers, -3 and 5.
6. The absolute value of -3 is 3.
7. The absolute value of 5 is 5.
8. Again, 3 and 5 are not the same.
9. Continue this process until you have checked all possible pairs.
Following this method, you would find that there are no numbers in this particular data set that have the same absolute value.