Check out the video below for some examples of ordering rational and irrational numbers.
(The beginning is a review of how we classify numbers. She starts the ordering practice at 5:49.)
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Today we worked on comparing real numbers by using >, <, and =. We also practiced putting real numbers in order, such as from least to greatest or greatest to least. One strategy to help us do these things is to turn all the numbers into their decimal equivalents. For fractions, that means using division to turn the fraction into a decimal. For a square root, we need to do the square rooting to get a decimal approximation. Once all of our numbers are in decimal form, we can think about money to help us order the numbers. Negative numbers are like owing money, and positive numbers are like having money. Check out the video below for some examples of ordering rational and irrational numbers. (The beginning is a review of how we classify numbers. She starts the ordering practice at 5:49.) Homework 1-4 for homework! Get caught up on your missing work!
Today we learned about irrational numbers, and how they are different from rational numbers, which we talked about yesterday. Here are the big differences:
We also talked about the different types of numbers and how they fit into the Real Number System. We looked at a chart like the ones below, and practiced classifying numbers to see which kinds of numbers they could be. Still struggling? Check out the videos below to help you review! The second one is a rap about rational versus irrational. Also, download the Virtual Nerd app on your smart phone or tablet for math help videos at your fingertips!
Your homework tonight is 1-2 Homework.
If you haven't completed 1-1 Homework yet, you need to do that, too. Remember to show evidence! Welcome to 8th grade math!!!!! Today was our first full day of school, and we had our first lesson of 8th grade math! We learned about rational numbers, which are numbers that can be written as a ratio (fraction). We practiced changing fractions into decimals. When a rational number is in decimal form, it is either a terminating decimal or a repeating decimal. We practiced comparing these fractions and decimals, also. In lesson 1-5 we worked on solving complex problems that involve rational and irrational numbers. The slide show below has some examples that may be useful when completing homework and studying for your test on Monday. Also, your Additional Practice for Unit B is due on Monday. This includes the online practice assignments and the journal pages. Today we learned how to approximate irrational square roots. We have to get an approximate answer because an irrational square root goes on and on forever, and we can't know the exact number if it never ends. Square roots are the numbers that multiply together to make a number, as long as we use the same number multiplied against itself. For example... 3 x 3 = 9 In this case, 3 is the square root of 9.
Tonight you have homework online, 1-3 Homework. Remember that you can redo any assignment as many times as you want to get a better grade. You can also click the "Question help" button inside of the homework assignments to give you support if you are struggling with a problem. AND you get an extra 10 points on your assignment for showing your work in your notebook. So do it! :)
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