write a fact family with a sum of 17 . Explain how you picked the addends
CREDIT: WRITEACHER WRITTEN IN 2007
Fact families are trios of numbers that are used for addition and subtraction.
9+8=17
8+9=17
17-9=8
17-8=9
You can do this for just about any set of numbers. Other addends for 17 would be 10 and 7, 15 and 2, etc.
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To create a fact family with a sum of 17, we need to select two numbers (addends) that when added together equal 17.
Let's choose 8 and 9 as our addends.
To verify if these numbers form a fact family with a sum of 17, we can calculate their sum:
8 + 9 = 17.
Therefore, the fact family with a sum of 17 would be:
8 + 9 = 17
9 + 8 = 17
We can also include subtraction equations derived from the addition equations:
17 - 8 = 9
17 - 9 = 8
These equations show the relationships between the numbers within the fact family, where the sum of any two numbers in the family is equal to the sum.
To create a fact family with a sum of 17, we need to think about which numbers can add up to that total. Let's start by breaking down the number 17 into two smaller numbers that can be added together.
One way to approach this is to use a common strategy called "complementary numbers". Complementary numbers are a pair of numbers that add up to a specific value. In this case, we can choose two complementary numbers that add up to 17.
For example, we can choose the number 10 as one addend and the number 7 as the other addend. When we add 10 and 7 together, the sum is indeed 17.
So, the fact family can be:
10 + 7 = 17
7 + 10 = 17
In this case, we selected the addends by finding two numbers that add up to the desired sum, which is 17. Keep in mind, there could be multiple valid fact families with different numbers as addends that also result in a sum of 17.