why is 3+3=6 NOT in the fact family of 2,3,and 6
To determine if an equation is part of a fact family, we need to understand what a fact family is. In math, a fact family consists of a set of related addition and subtraction equations using the same group of numbers.
Let's take a look at the numbers 2, 3, and 6. For a fact family to exist, we need to find addition and subtraction equations that involve these numbers.
For example, some equations in the fact family of 2, 3, and 6 could be:
2 + 3 = 5
3 + 2 = 5
5 - 2 = 3
5 - 3 = 2
As you can see, all the numbers 2, 3, and 6 are involved in these equations. However, the equation 3 + 3 = 6 is not part of this fact family because the numbers 2 and 5 are not included in it.
If you want to find the fact family of a given set of numbers, you can follow these steps:
1. Choose two of the numbers and find their sum to create an addition equation.
2. Reverse the order of the chosen numbers and write another addition equation.
3. Use the addition equations to create subtraction equations by subtracting one of the chosen numbers from their sum.
4. Repeat the process by choosing different combinations of the given numbers.
By following these steps, you can generate the fact family for any set of numbers.