Question

Попробуйте доказать признак делимости на 9 для любого трёхзначного числа

Answer 1

Если сумма цифр трехзначного числа делится на 9 то и самр число делится на 9. Например число 684=6+8+4=18 18 делится на 9. Значит само число тоже

Answer 2

Divisibility Rule for 9

To prove the divisibility of a three-digit number by 9, we can use the divisibility rule for 9. The rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.

For example, let's take the number 261: - The sum of its digits is 2 + 6 + 1 = 9. - Since the sum of the digits (9) is divisible by 9, the number 261 is also divisible by 9.

This rule can be applied to any three-digit number to determine if it is divisible by 9.

In conclusion, a three-digit number is divisible by 9 if the sum of its digits is divisible by 9.