Solve: 100×0×3?0:30 - Determining the Correct Comparison Operator

In this problem, we need to determine the correct sign that fits between the expressions on either side, specifically involving multiplication and comparison. We will follow these steps:

• Step 1: Calculate the left-hand side of the expression, $100 \times 0 \times 3$.
• Step 2: Use the multiplication property of zero.
• Step 3: Compare the result from Step 1 to the number 30.

Step 1: Let's calculate $100 \times 0$. According to arithmetic rules, any number multiplied by zero is zero. Thus, $100 \times 0 = 0$.

Step 2: Now let's proceed with $0 \times 3$. Again, multiplying zero by any number yields zero. So, $0 \times 3 = 0$.

Step 3: Now we compare the result $0$ to $30$. Since zero is less than thirty, we check whether the expressions are equal or not.

Since $0 = 0$, the correct sign between the expressions is $=$. Therefore, the solution to the problem is: $=$.