Let’s take a look at a few addition examples. These properties apply to all real numbers. The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. For example, 30 + 25 has the same sum as 25 + 30. Likewise, the commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum. In mathematics, we say that these situations are commutative-the outcome will be the same (the coffee is prepared to your liking you leave the house with both shoes on) no matter the order in which the tasks are done. As long as you are wearing both shoes when you leave your house, you are on the right track! In the same way, it does not matter whether you put on your left shoe or right shoe first before heading out to work. The order that you add ingredients does not matter. Add a splash of milk to mug, then add 12 ounces of coffee.Pour 12 ounces of coffee into mug, then add splash of milk.You would end up with the same tasty cup of coffee whether you added the ingredients in either of the following ways: For example, think of pouring a cup of coffee in the morning. You may encounter daily routines in which the order of tasks can be switched without changing the outcome. ISBN9780521779203.The Commutative Properties of Addition and Multiplication ^ Baader, Franz Nipkow, Tobias (1998).Encyclopedia of Mathematics and its Applications.
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