Question

В числе 532*** замени * цифрами, чтобы полученное число делилось на 5, на 8 и на 9.

Answer 1

Ответ:

532800

Пошаговое объяснение:

532800 /5=106560

532800/8=66600

532800/9=59200

Answer 2

To find the missing digits in the number 532*** so that the resulting number is divisible by 5, 8, and 9, we need to find a number that is the least common multiple (LCM) of 5, 8, and 9. The LCM of three numbers is the smallest number that is divisible by all three of them.

The LCM of 5, 8, and 9 is 360. So, we need to replace the asterisks with digits to get a number that is divisible by 360.

Now, let's find the possibilities for the missing digits.

First, the number should end with 0 since it needs to be divisible by 5.

Then, for a number to be divisible by 8, its last three digits should form a number that is divisible by 8. The possible options for the last three digits that satisfy this condition are: 008, 208, 408, and 608.

Finally, for a number to be divisible by 9, the sum of its digits should be divisible by 9. The sum of the digits in the number 532*** is 5 + 3 + 2 = 10. To make it divisible by 9, we can add 7 to the sum (10 + 7 = 17) to make it 17. So, the possibilities for the first two digits are: 17, 27, 37, 47, 57, 67, 77, 87, and 97.

Now, let's combine the possibilities for the first two digits (17, 27, 37, 47, 57, 67, 77, 87, and 97) with the possibilities for the last three digits (008, 208, 408, and 608).

The possible numbers are: 17008, 27008, 37008, 47008, 57008, 67008, 77008, 87008, 97008, 17208, 27208, 37208, 47208, 57208, 67208, 77208, 87208, 97208, 17408, 27408, 37408, 47408, 57408, 67408, 77408, 87408, 97408, 17608, 27608, 37608, 47608, 57608, 67608, 77608, 87608, 97608.

From these numbers, the smallest number that satisfies the conditions is 17008. So, by replacing the asterisks with 0, the resulting number is 17008. This number is divisible by 5, 8, and 9.