Write the fact family with a sum of 17.Explain how you picked the addens.

To write a fact family with a sum of 17, we need to choose three numbers that can be added together to give us 17. Let's start by picking a number for the first addend.

Let's choose 8 as the first addend. Now, we need to choose a second addend that, when added to 8, will give us a sum of 17. To do this, we can subtract 8 from 17: 17 - 8 = 9. So, 9 will be the second addend.

Now, with 8 and 9 as our first two addends, we can find the missing addend to complete the fact family. We can subtract the first addend (8) and second addend (9) from the sum (17): 17 - 8 - 9 = 0. So, the missing addend is 0.

Therefore, the fact family with a sum of 17 is:
8 + 9 = 17
9 + 8 = 17
17 - 8 -9 = 0

In this example, the addends were chosen by picking one number, 8, and then finding the missing addend by subtracting the existing addends from the sum. This method ensures that the addends chosen will add up to the given sum.