Comparing and Ordering Rational Numbers
Vocabulary
Rational Numbers - A number taht can be written as a fraction with integers for its numerator and
denominator.
Least Common Multiple (LCM) - The smallest common multiple of a set of two or more numbers.
( < ) Less than - The symbol < means less than. An easy way to remember that this < is less than,
think of it as a "L" in less than.
( > ) Greater than - The symbol > means greater than. This is easy to recall, if you remember the "L"
for this symbol (<) is less than.
Examples
Comparing Fractions 5 = 25 5 = 5 . 5 = 25 Notice we multiply the denominator and
6 30 6 6 . 5 30 numerator by 5. We know that 5/6 is
equivalent to 25/30 because we multiplied
the denominator and numerator by the same
rational number.
Lets try another one 7 = 21 7 = 7 . 3 = 21
10 30 10 10 . 3 30 Now we can compare 5/6 to 7/10. Which is
greater? Well 25/30 > (greater than) 21/30.
Therefore, 5/6 > 7/10.
HINT
When you compare fractions to decimals, or percents in any form, rewrite them so you are dealing with the same form (fraction, decimal, percent). This will make it easier for you to put them in order. After you have them in order put the items back into their original form (fraction, decimal, percent).
VIDEO HELP
https://www.youtube.com/watch?v=l89DOBYUCPQ
https://www.youtube.com/watch?v=VZOHWaw5dqM
https://www.youtube.com/watch?v=LDN8KSG0fzQ
Click on whichever section you are working on. You will find the vocabulary associated with the section, as well as, examples and helpful videos.
Pages
- Home
- Order Of Operations (1-4)
- Properties of Numbers (1-5)
- Translating Words into Math (1-7)
- Simplifying Algebraic Expressions (1-8)
- Equations & Their Solutions (1-9)
- Solving Equations by Adding or Subtracting (1-10)
- Solving Equations by Multiplying and Dividing (1-1...
- Integers (2-1)
- Adding Integers (2-2)
- Subtracting Integers (2-3)
- Multiplying and Dividing Integers (2-4)
- Solving Equations Containing Integers (2-5)
- Equivalent Fractions and Decimals (2-10)
- Comparing and Ordering Rational Numbers (2-11)
- Adding and Subtracting Decimals (3-2)
- Multiplying Decimals (3-3)
- Dividing Decimals (3-4)
- Solving Equations Containing Decimals (3-5)
- Adding and Subtracting Fractions (3-7)
- Adding and Subtracting Mixed Numbers (3-8)
- Multiplying fractions and Mixed Numbers (3-9)
- Dividing Fractions and Mixed Numbers (3-10)
- Solving Equations Containing Fractions (3-11)
- Rates (4-2)
- Rates (4-2) Videos
- Identifying and Writing Proportions (4-3)
- Solving Proportions (4-4)
- Similar Figures and Proportions (4-8)
- Using Similar Figures (4-9)
- Scale Drawings and Scale Models (4-10)
- Slope and Rates of Change (5-6)
- Direct Variation (5-8)
- Estimating with Percents (6-3)
- Percent of a Number (6-4)
- Solving Percent Problems (6-5)
- Percent of Change (6-6)
- Simple Interest (6-7)
- Mean, Median, Mode, Range, and Outlier (7-2)
- Bar Graphs and Histograms (7-3)
- Box-and-Whisker Plots (7-5)
- Populations and Samples (7-8)
- Classifying Angles (8-2)
- Classifying Triangles (8-6)
- Classifying Quadrilaterals (8-7)
- Angles in Polygons (8-8)
- Congruent Figures (8-9)
- Perimeter and Circumference (9-2)
- Area of Parallelograms (9-3)
- Area of Triangles and Trapezoids (9-4)
- Area of Circles (9-5)
- Area of Irregular Figures (9-6)
- Squares and Square Roots (9-7)
- Volume of Prisms and Cylinders (10-2)
- Surface Area of Prisms and Cylinders (10-4)
- Probability (11-1)
- Experimental Probability (11-2)
- Sample Spaces (11-3)
- Theoretical Probability (11-4)
- Making Predictions (11-5)
- Probability of Independent and Dependent Events (1...
- Combinations (11-7)
- Permutations (11-8)
- Solving Two-Step Equations (12-1)
- Solving Multi-Step Equations (12-2)
- Solving Inequalities by Adding or Subtracting (12-...
- Solving Inequalities by Multiplying or Dividing (1...
- Solving Multi-Step Inequalities (12-7)
No comments:
Post a Comment