What digit placed in the blank would make the number 138_ divisible by both 4 and 5

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

answer:

step-by-step explanation: