Here is the question: If a natural number is divisible by 5 and 2, then it must also be divisible by 10. My answer: false. Is this correct?
What number are you thinking of that is divisible by 5 and 2 but not by 10? If you have that number, then you know you are correct or not?
I was wrong it was true. Thanks for your help.
If a number is divisible by 2 AND 5, then it must be divisible by 10.
Reason: 2*5 = 10
Yes, your answer is correct. A natural number is divisible by 5 if the units digit is either 0 or 5, and it is divisible by 2 if the units digit is even (0, 2, 4, 6, or 8). However, being divisible by both 5 and 2 does not necessarily mean that the number is divisible by 10.
To show this, we can think of an example. Let's consider the number 15, which is divisible by 5 (since the units digit is 5) and also by 2 (since the units digit is odd). However, 15 is not divisible by 10 since it does not end with a 0.
Therefore, the statement "If a natural number is divisible by 5 and 2, then it must also be divisible by 10" is false.