Final answer:
The missing number in the equation '6 + ___ = 5 + 6' is 5 because when you subtract 6 from both sides of the equation, which equals 11, you are left with 6 + x = 11 - 6, thus x equals 5.
Step-by-step explanation:
The student has asked to find the missing number in the equation 6 + ___ = 5 + 6.
To solve for the missing number, we need to understand the properties of equality and basic addition and subtraction.
According to the properties of equality, if two things are equal, you can add, subtract, multiply, or divide the same number to both sides, and they will still be equal.
In the given equation, the right side of the equation adds up to 11 because 5 + 6 equals 11.
So we need to find a number that when added to 6, gives us 11.
This means the equation becomes 6 + x = 11.
We solve for x by subtracting 6 from both sides of the equation:
- 6 + x = 11
- x = 11 - 6
- x = 5
Therefore, the missing number in the equation is 5.