0 is divisible by 2
Understand the Problem
The question asserts that 0 can be divided evenly by 2, implying a basic understanding of divisibility in mathematics.
Answer
Yes, 0 can be divided evenly by 2.
Answer for screen readers
Yes, 0 can be divided evenly by 2.
Steps to Solve
-
Understanding Divisibility To determine if 0 can be divided evenly by 2, we check if there exists an integer ( k ) such that: $$ 0 = 2 \times k $$
-
Finding the value of ( k ) If we let ( k = 0 ): $$ 0 = 2 \times 0 $$ This shows that when ( k ) is equal to 0, the equation holds true.
-
Conclusion on Divisibility Since we can find an integer ( k = 0 ) that satisfies the equation, this confirms that 0 is divisible by 2.
Yes, 0 can be divided evenly by 2.
More Information
In mathematics, 0 is considered a unique number that is divisible by every integer. This is an important property in number theory and arithmetic.
Tips
A common mistake is to think that 0 cannot be divided by any number because it doesn't yield a "non-zero" quotient. It is crucial to remember that division by zero is undefined, but any number can divide 0 evenly.