Does two plus two always equal four?

Yes, two plus two always equals four. This is because two plus two is an equation that follows the basic rules of mathematics, which state that when two numbers are added together, the result is the sum of the two numbers. This is known as the commutative property of addition, which states that the order of the two numbers does not matter, as the result will always be the same. For example, two plus two is the same as two plus two, and the result is always four.

In addition, two plus two follows the associative property of addition, which states that when three or more numbers are added together, the result does not depend on the order in which the numbers are added. For example, two plus two plus two is the same as two plus two plus two, and the result is always six. This is because the two plus two is treated as a single unit, and the result is always the same.

Finally, two plus two follows the distributive property of addition, which states that when a number is multiplied by a sum, the result is the same as if the number were multiplied by each of the addends separately. For example, two times two plus two is the same as two times two plus two, and the result is always eight. This is because the two plus two is treated as a single unit, and the result is always the same.

In conclusion, two plus two always equals four because it follows the basic rules of mathematics, which state that the order of the numbers does not matter, and the result will always be the same.