Which of the following statements is true?a)A number is divisible by 4...
Summary:
A number is divisible by 8 if and only if the number formed by its last three digits is divisible by 8.
Explanation:
To determine if a number is divisible by 8, we need to check if the number formed by its last three digits is divisible by 8. This is because 8 is a multiple of 2 and 4, so any number divisible by 8 must also be divisible by 2 and 4.
Let's consider an example to understand this concept better. Let's take the number 123456.
Step 1: Take the last three digits of the number, which in this case are 456.
Step 2:Check if the number formed by the last three digits (456) is divisible by 8. If it is divisible, then the original number (123456) is also divisible by 8. If it is not divisible, then the original number is not divisible by 8.
In this case, the number formed by the last three digits (456) is not divisible by 8, so the original number (123456) is not divisible by 8.
Let's consider another example. Take the number 1234568.
Step 1: Take the last three digits of the number, which in this case are 568.
Step 2:Check if the number formed by the last three digits (568) is divisible by 8. If it is divisible, then the original number (1234568) is also divisible by 8. If it is not divisible, then the original number is not divisible by 8.
In this case, the number formed by the last three digits (568) is divisible by 8, so the original number (1234568) is divisible by 8.
Therefore, the statement "A number is divisible by 8 if the number formed by its last three digits is divisible by 8" is true.