Find the Invariant Number in 2×0×20+5: Zero Property Investigation

Which number can be replaced without changing the result of the exercise?

$2\times0\times20+5=$

To solve this problem, we'll follow these steps:

• Step 1: Evaluate the multiplication of numbers.
• Step 2: Apply the addition operation.
• Step 3: Analyze each number's role and how it affects the result.

Now, let's work through each step:

Step 1: We begin with the expression $2 \times 0 \times 20 + 5$. According to the order of operations (PEMDAS/BODMAS), we first focus on multiplication.

$2 \times 0 = 0$

Next, we multiply the result by 20:

$0 \times 20 = 0$

Step 2: Now, add 5 to the result:

$0 + 5 = 5$

The final result of the expression is 5.

Step 3: Analyzing the impact of each number on the result, we note:

• The number 2 is part of a multiplication sequence, but since it's multiplied by 0, its initial value doesn't influence the result.
• The zero $0$ is crucial as it nullifies the multiplication. Changing it would change the result of the entire expression significantly.
• The number 20 is also nullified in the multiplication by zero. Its value will not affect the final result.
• The number 5 is added after the multiplication and directly affects the result by finality addition. Changing it will alter the result.

Therefore, we conclude that the numbers 2 and 20 can be replaced without changing the result of the expression.

Thus, the correct answer is Answers (a) and (c).