Solve the Equation: Zero Times Unknown Equals Zero

Question

0×?=0 0\times?=0

Video Solution

Step-by-Step Solution

To solve this problem, let's focus on the principle of multiplication concerning zero:

  • Step 1: Understand that any number multiplied by zero equals zero.
  • Step 2: Apply this understanding to the given equation 0×?=00 \times ? = 0.
  • Step 3: Recognize that since zero multiplied by any number results in zero, the missing value can be any real number.

Now, let's work through these steps:

Step 1: The multiplication property of zero states that when a number is multiplied by zero, the product is always zero.

Step 2: In the equation 0×?=00 \times ? = 0, we need to determine what value of the question mark satisfies this condition. Based on the multiplication property of zero, we know that this condition holds for any real number.

Step 3: Therefore, regardless of what number we replace the question mark with, as long as it’s a real number, the equation will be true since 0×any number=00 \times \text{any number} = 0.

Therefore, the solution to this problem is that all values satisfy the equation. This conclusion matches the choice "All answers are correct."

Therefore, the correct answer is All answers are correct.

Answer

All answers are correct