Unit Two-Rational Numbers
This unit is about operations with rational numbers, comparing and ordering rational numbers, problem solving with rational numbers, order of operations and rational vs. irrational numbers.
Comparing and Ordering Rational Numbers
Definitions
Rational and Irrational Numbers
http://www.mathsisfun.com/definitions/rational-number.html
An Example of an Irrational Number
http://www.mathsisfun.com/numbers/golden-ratio.html
Comparing and Ordering Rational Numbers
Definitions
- RATIONAL NUMBER- A number that can be written as a fraction, where the bottom is not equal to zero.
- IRRATIONAL NUMBER- A number that can not be written as a fraction. It goes on forever without repeating.
- EQUIVALENT RATIONAL NUMBERS- Rational numbers that have the same value.
Rational and Irrational Numbers
http://www.mathsisfun.com/definitions/rational-number.html
An Example of an Irrational Number
http://www.mathsisfun.com/numbers/golden-ratio.html
Comparing and Ordering Rational Numbers
When comparing and ordering rational numbers, a number line is a helpful tool. Remember that when dealing with negative numbers, the bigger the number the smaller the value.
Example- (-1.2 ) is smaller than (-1.1).
Place the rational numbers that you are trying to order on the number line.
The numbers are -1.2, 1/2, 7.3, -3.4 and 9.4.
Example- (-1.2 ) is smaller than (-1.1).
Place the rational numbers that you are trying to order on the number line.
The numbers are -1.2, 1/2, 7.3, -3.4 and 9.4.
Videos
To find Equivalent Rational Numbers, treat them like fractions. Simplify them to their simplest form. So, 2/1 becomes 2. 8/2 becomes 4. 8/10 becomes 4/5. When all the rational numbers are in their simplest form, you can tell which ones are equivalent.
Example- Which of these numbers are equivalent? -4, 3/4, 5, -8/2, 16/-4. Answer- -4, -8/2, 16/-4.
Example- Which of these numbers are equivalent? -4, 3/4, 5, -8/2, 16/-4. Answer- -4, -8/2, 16/-4.
Video
Operations with Rational Numbers
Don't forget that you must use BEDMAS with rational numbers.
Example- Answer this: (-2 + 3 ) x 4 / 2 Answer- (+2).
(3 - 4) + 3 x 4 + 2 Answer- (+13)
4 x 6 - (2 + 2 x 3) Answer- (+16) http://mssia.wordpress.com/2009/02/14/the-real-number-system/
Example- Answer this: (-2 + 3 ) x 4 / 2 Answer- (+2).
(3 - 4) + 3 x 4 + 2 Answer- (+13)
4 x 6 - (2 + 2 x 3) Answer- (+16) http://mssia.wordpress.com/2009/02/14/the-real-number-system/