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

Choose the correct sign (?):

$100\times0\times3?0:30$

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: $=$.