What is a number that is divided by 6 and by 7?
42
Ms. Sue. I have noticed you give a lot of short answers. I assume you're a teacher and I am kind of disappointed. You think somebody who is in the field of education would actually try to educate. Instead of giving one or two word answers, I suggest you try explaining why you got that answer. However, I don't think giving answers out is the way to go either. (assuming you're a teacher) you should know how to ask students questions to help them figure it out on their own, without giving them the answer. So maybe try that? It just upsets me seeing your name on a lot of comments, but rarely seeing anything that could help the students learn. Please change this. Thank you.
I also noticed that it's against the rules to post answers, as you have stated. You also said it can result in banning. May I ask why you're going against what you said? I am very curious. Thank you.
I'm sorry I disappointed you. I assume that this student has enough knowledge of numbers to realize that 6 * 7 = 42. I was a middle school teacher for many years and rely upon my experience to know what students likely know. What is your educational and employment background?
Many students know the answer, but post a question here to make sure they are right.
How would you have answered this question?
42
To find a number that is divisible by both 6 and 7, we need to identify the least common multiple (LCM) of 6 and 7.
The LCM is the smallest multiple that two or more numbers have in common.
To find the LCM of 6 and 7, we can list their multiples and find the smallest common multiple:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
By looking at the lists, we can see that the smallest common multiple of 6 and 7 is 42.
So, any number that is divisible by both 6 and 7 can be found by multiplying 42 by any positive integer.
For example, if we multiply 42 by 2, we get 84. Therefore, 84 is a number that is divisible by both 6 and 7.
In general, the formula to find a number divisible by two given numbers a and b is the LCM of a and b multiplied by any positive integer.