Help Algebra
Help algebra.com: The Real Number System
Natural numbers, whole numbers, integers and rational numbers begin this lesson on the real number system. You can also learn more about the number line and absolute value. Examples and diagrams are included to enhance understanding.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Number Systems
Find a quick, concise explanation of Real Numbers. Other number systems are also defined such as: Natural, Integer, Rational, Irrational and Complex Numbers.
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Real Numbers
Get independent practice working with real numbers. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Add and Subtract Rational Numbers 1
Get independent practice adding and subtracting rational numbers. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Oswego City School District
Regents Exam Prep Center: Irrational Approximations
Providing one lesson, one practice exercise, and two teacher resources, the information at this website is geared toward students who already understand rational and irrational numbers. The lesson has explanations of what happens when a...
Wolfram Research
Wolfram Math World: Irrational Numbers
This math site explains what it means for a number to be irrational and names various persons who have proven the irrationality of some numbers, the site also gives several numbers who are thought to be irrational yet have not been...
Math Is Fun
Math Is Fun: Irrational Numbers
This learning resource investigates irrational numbers. Students learn about the concept by exploring images, definitions, and examples. Includes practice questions.
Khan Academy
Khan Academy: Approximating Square Roots
Practice finding the approximate value of square roots by thinking about perfect squares. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Irrational Numbers
Find a quick, concise explanation of only irrational numbers. A diagram is given and clearly explained that shows how irrational numbers relate to other number groups.
Math Planet
Math Planet: Integers and Rational Numbers
Gain an understanding of integers and rational numbers by viewing an example and a video lesson.
Math Planet
Math Planet: Algebra 1: Integers and Rational Numbers
Provides an example and a video lesson that illustrates integers and rational numbers.
CK-12 Foundation
Ck 12: Algebra: Square Roots and Irrational Numbers
[Free Registration/Login may be required to access all resource tools.] Learn how to find square roots and identify irrational numbers.
Khan Academy
Khan Academy: Comparing Irrational Numbers With a Calculator
Practice using a calculator to find the approximate decimal values of irrational numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Comparing Irrational Numbers
Practice comparing irrational numbers without using a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Classify Numbers
Practice classifying numbers as whole, integer, rational, and irrational. Students receive immediate feedback and have the opportunity to try questions repeatedly, to watch a video, or ask for a hint.
Khan Academy
Khan Academy: Approximating Square Roots
Practice finding the approximate value of square roots by thinking about perfect squares. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: N Rn: Rational or Irrational?
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
Illustrative Mathematics
Illustrative Mathematics: 8.ns Estimating Square Roots
This task asks students to estimate the square root of 800 without using a calculator. To do it, they must examine perfect squares that are higher and lower than 800. Aligns with 8.NS.A.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Irrational Numbers on the Number Line
This task presents students with four irrational numbers and asks them to place them on a real number line without referring to a calculator. Aligns with 8.NS.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Identifying Rational Numbers
For this task, 8th graders are presented with a mixed set of eight different numbers and must identify them as rational or irrational and explain how they know. Aligns with 8.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Placing a Square Root on the Number Line
This task develops students' number sense of squares and square roots. They are to find an approximation of a less obvious square root of a number to see where it would fall on a number line. To do this, they must examine perfect squares...
Math Is Fun
Math Is Fun: Approximate Solutions
Sometimes it is difficult to solve an equation exactly. But an approximate answer may be good enough!
Khan Academy
Khan Academy: Absolute Value to Find Distance Challenge
Solve conceptually challenging absolute value problems. In order to succeed at these problems, you'll need to remember that the absolute value of the difference of two numbers is the distance between those numbers. Students receive...