Verified answer

Answer:

Step-by-step explanation:

To verify the statement that the product of two consecutive numbers is always divisible by 2, let's consider four examples:

Example 1:

Let's take two consecutive numbers, 5 and 6. The product of these numbers is 5 × 6 = 30. We can see that 30 is divisible by 2 because 30 ÷ 2 = 15. Therefore, the statement holds true for this example.

Example 2:

Consider the numbers 8 and 9. The product of these consecutive numbers is 8 × 9 = 72. Since 72 is divisible by 2 (72 ÷ 2 = 36), the statement holds true in this case as well.

Example 3:

Now, let's take the numbers 15 and 16. Their product is 15 × 16 = 240. Dividing 240 by 2, we get 240 ÷ 2 = 120. Hence, the statement is verified for this example.

Example 4:

Finally, consider the numbers 21 and 22. The product of these consecutive numbers is 21 × 22 = 462. When we divide 462 by 2, we get 462 ÷ 2 = 231, indicating that the statement holds true once again.

Based on these four examples, we can conclude that the product of any two consecutive numbers is always divisible by 2.

Answer:

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