Find the greatest common divisor of 48 and 60.
Finding the greatest common factor of two numbers can be a fun math thing do. It just takes a little time to list out all of the factors....factors. What are factors? In a multiplication problem factor x factor = product So in 2 x 3 = 6, 2 and 3 are factors. Let's list all factors for each number. I like to start with 1 and the number itself and then go to 2, 3 and so on. 48 = 1, 48, 2, 24, 3, 16, 4, 12, 6, 8 60 = 1, 60, 2, 30, 3, 20, 4, 15, 5, 12, 6, 10 Now, circle any numbers that are factors for both 48 and 60. 1, 2, 3, 4, 6, and 12 are common factors, or factors of both 48 and 60. 12 is the largest one, so 12 is the greatest common factor of 48 and 60! Now you can try one on your own....
I have a math test next week. How do I study and how can I know if I'm prepared? (it's not like I can just memorize definitions and be all set)
Great question!! Math can be a more challenging test to study for because you don't know exactly what will be on the test like you would on a spelling test, for example. Let's start with having your book, workbook, homework and notes in front of you. Its best to keep your notes organized from the earliest in the chapter to the latest, in chronological order. Open to your chapter and take a look through the chapter to get an idea of what you have mastered and what you need to work on. Let's say you have 10 lessons and you are certain you know 7 of them. It's a smart idea to work a few problems from the 7 you do know just to make sure. Now let's spend some time in the 3 lessons you aren't so sure of. If you have classwork or homework in those sections, go over it. Don't just look at it, but work through the problems. If you are stuck, as a parent or tutor to help you with specific questions. You can also see your teacher and have him/her work through problems with you. A parent or tutor can also give you similar problems in those lessons that you are still mastering. A math test is a test of how you know a process, so you need to be able to work the problems. Studying involves just that and making sure you understand the language used in the chapter. Remember to show all of your work and take your time on the test!
Would you rather share 1/2 of a cake with 3 people or 3/4 of a cake with 4 people?
We are going to use fractions to answer our question. First let's take 1/2 and multiply it by 1/3 because we are splitting that part of the cake into thirds. 1/2 x 1/3 = 1/6 (remember when multiplying fractions, multiply across the top (numerators) and then across the bottom (denominators) Let's do the same thing with 3/4 and 1/4. 3/4 x 1/4 = 3/16 Now we need to compare 1/6 and 3/16. You can't do that without a common denominator. Let's use 48 as our common denominator. 1/6 x 8/8 = 8/48 (we multiply by a form of 1 to get 48 in our denominator. 3/16 x 3/3 = 9/48 Now that we have a common denominator of 48, we can compare the numerators 8 and 9. So, if you would like a larger piece of cake, you would take the 9/48, which means you get more cake if you start with 3/4 of a cake and share it with 4 people! Congratulations!!!