Question

Вместо звёздочки в записи 2 52* поставьте цифру так, чтобы полученное число было кратным 3 (рассмотрите все возможные случаи).

Answer 1

Відповідь:

2520

2526

2523

2529

Покрокове пояснення:

Answer 2

Finding a Number That is a Multiple of 3

To find a number that is a multiple of 3, we need to replace the asterisk in the expression 2 * 52* with a digit so that the resulting number is divisible by 3. Let's consider all possible cases:

1. Case 1: Replacing the asterisk with 0 - If we replace the asterisk with 0, the expression becomes 2 * 520. This number is divisible by 3 because the sum of its digits (5 + 2 + 0) is 7, which is divisible by 3. - Therefore, the resulting number is a multiple of 3.

2. Case 2: Replacing the asterisk with 1 - If we replace the asterisk with 1, the expression becomes 2 * 521. This number is not divisible by 3 because the sum of its digits (5 + 2 + 1) is 8, which is not divisible by 3. - Therefore, the resulting number is not a multiple of 3.

3. Case 3: Replacing the asterisk with 2 - If we replace the asterisk with 2, the expression becomes 2 * 522. This number is not divisible by 3 because the sum of its digits (5 + 2 + 2) is 9, which is not divisible by 3. - Therefore, the resulting number is not a multiple of 3.

4. Case 4: Replacing the asterisk with 3 - If we replace the asterisk with 3, the expression becomes 2 * 523. This number is divisible by 3 because the sum of its digits (5 + 2 + 3) is 10, which is divisible by 3. - Therefore, the resulting number is a multiple of 3.

5. Case 5: Replacing the asterisk with 4 - If we replace the asterisk with 4, the expression becomes 2 * 524. This number is not divisible by 3 because the sum of its digits (5 + 2 + 4) is 11, which is not divisible by 3. - Therefore, the resulting number is not a multiple of 3.

6. Case 6: Replacing the asterisk with 5 - If we replace the asterisk with 5, the expression becomes 2 * 525. This number is not divisible by 3 because the sum of its digits (5 + 2 + 5) is 12, which is divisible by 3. - Therefore, the resulting number is a multiple of 3.

7. Case 7: Replacing the asterisk with 6 - If we replace the asterisk with 6, the expression becomes 2 *