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A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers.
The term "rational" comes from the word "ratio," because the rational numbers are the ones that can be written in the ratio form p/q where p and q are integers. Irrational, then, just means all the numbers that aren't rational.
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
So the set of all rational numbers will contain the numbers 4/5, -8, 1.75 (which is 7/4), -97/3, and so on.
Is .999 repeating a rational number? Well, a number is rational if it can be written as A/B (A over B): .3 = 3/10 and .55555..... = 5/9, so these are both rational numbers. Now look at .99999999..... which is equal to 9/9 = 1. We have just written down 1 and .9999999 in the form A/B where A and B are both 9, so 1 and .9999999 are both rational numbers. In fact all repeating decimals like .575757575757... , all integers like 46, and all finite decimals like .472 are rational.
Contents contributed and discussions participated by taconi12
Math | Andrew K. Miller - 81 views
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assessing the common core standards: real life mathematics
Technology in the Classroom - 166 views
Five Reasons to Stop Saying "Good Job!" - 118 views
math - 5 views
Problem of the day - 5 views
Google For Educators - 12 views
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Want to help out students and colleagues with handy tips on improving search results and using popular Google products like Google Earth? Just print out these posters and hang them where everyone can see them.
Multiplying Fractions Catchphrase - Resources - TES - 3 views
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Questions require pupils to multiply two given fractions. Plenary or starter game based on the tv show catchphrase. Pupils must correctly answer the question on one of the rectangles to reveal part of the 'catchphrase behind'. A great way to engage pupils and check understanding. Easily adapted to suit other topics or abilities. See the other versions I have shared - all with a different catchphrase. Picture behind could be changed to something more personalised to the class.
Fractions and Percentages (MEP - GCSE - Unit 11) - Resources - TES - 4 views
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The topic of Fractions and Percentages from the GCSE books of the Mathematics Enhancement Program. For information about these resources and an index for the whole collection please visit http://www.mrbartonmaths.com/CIMT.htm Keywords: Fraction, Add, Subtract, Multiply, Divide, Numerator, Denominator, Percentage, Convert, Equivalent, VAT, Increase, Decrease, Reverse, Context, Compound, Interest, Exponential, Growth, Depreciation.
Mathemagic - Resources - TES - 2 views
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A collection of mathematical magic tricks for teachers. Particularly suitable for KS3 but also popular with older children. Each trick gives an anecdotal account of the effect being used in the classroom, followed by the explanation and teaching points if used for further work. Appendix includes details of simple sleights such as coin vanishes etc
shapes and their description - Resources - TES - 1 views
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This resource is good to help learners understand the properties of different shapes and to use the appropriate vocabulary to describe them. It can be a very good activity if learners work in small groups or in pairs to discuss their ideas.
Straws - Resources - TES - 0 views
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This activity develops thinking skills and facts for shape at KS1, KS2 and KS3. Simple ideas and a great range of activities lead to real exploration of properties of 2-D shapes. You can find this resource and many more at ccjmaths.co.uk NEW Straws 2 is now available, with another 4 activities.
365 things to make you go "Hmmm..." | Thinking skills resources | Sparky Teaching - 7 views
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perfect for registration, Circle Time, PSHE, Thinking Skills lessons, introductions, plenaries ...whenever you want to set your class off thinking).
Murder Mystery - Resources - TES - 6 views
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A murder has been committed! There are 32 suspects, and one of them is guilty. Using your powers of deduction, can you crack each of the five coded clues to reveal the identity of the killer?
Race around the clock times tables - Resources - TES - 1 views
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A worksheet that can be used to test times tables. The children write whatever times table they are doing (4x, 8x etc) in the star in the middle of the sheet and times the number on the outside of the track by that number. They then write the answers of the times table in the boxes in the inside of the track. Lower ability children can be asked to +2, +4 etc to the number on the outside of the track instead of completing times tables. Give children 2 or 3 minutes to complete the race. Photocopy back to back and ask higher ability children to complete both sides. I made this worksheet during a teaching practice with Year 3 - it works well.
nrich.maths.org :: Mathematics Enrichment :: Property Chart - 0 views
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Found this on TES math website. The game would not be a good exploratory, rather it would be helpful as a review or end of unit game
Illuminations: Rise-Run Triangles - 6 views
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rise run slope of triangles
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