Question

Какую цифру можно записать вместо звездочки в числе 497*чтобы оно делилась на 3 на 10 было кратно 9

Answer 1

А)4971, 4974, 4977 Б)4970 В)4977

Answer 2

6.вот так это всё будет

Answer 3

Finding the Number to Replace the Asterisk

To find the number that can replace the asterisk in the number 497* so that it is divisible by 3 and has 10 as a multiple of 9, we can use the following information from the search results:

The sum of the digits of a number is divisible by 3 if the number itself is divisible by 3. A multiple of 9 has the property that the sum of its digits is also a multiple of 9.

Calculating the Sum of Digits

Let's calculate the sum of the digits of the number 497*:

4 + 9 + 7 + * = 20 + *.

To make the number divisible by 3, the sum of the digits must also be divisible by 3. Therefore, the sum of the digits 20 + * should be divisible by 3.

Finding the Replacement Number

To make the sum of the digits 20 + * divisible by 3, we need to find a number to replace the asterisk that will result in a sum that is divisible by 3. Additionally, we need the number to be such that 10 is a multiple of 9.

By examining the search results, we find that the sum of the digits of a number is divisible by 3 if the number itself is divisible by 3 Also, a multiple of 9 has the property that the sum of its digits is also a multiple of 9.

Considering these properties, we can find a number to replace the asterisk that satisfies both conditions.

Conclusion

By considering the properties of divisibility by 3 and the characteristics of multiples of 9, we can find a number to replace the asterisk in the number 497* so that it is divisible by 3 and has 10 as a multiple of 9.