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### Grade 8 - Mathematics1.19 Real Numbers

Real Numbers R:
• Real Numbers are every number, irrational or rational.
• Any number that you can find on the number line.
• It is a number required to label any point on the number line; or it is a number that names the distance of any point from 0.
• R = Q + Q1
• Natural Numbers are Whole Numbers, which are Integers, which are Rational Numbers, which are Real Numbers.
• Irrational Numbers are Real Numbers, but not all Real Numbers are Irrational Numbers.
Examples:
 4 Real, rational, integer. −7 Real, rational, integer. −½ Real, rational. 9¾ Real, rational. − 17/5 Real, rational. 1.732 Real, rational. 5.67820820. . .. Real, rational. 7.456057891. . . Real, irrational. Ö16 = 4 Real, rational, integer Ö3 real, irrational

Directions: Select the type of number in each question. Write at least 5 examples of your own for rational and irrational real numbers.
 Q 1: square root of 3Real, rationalReal, irrational Q 2: (-20)Real, rational, integerReal, rational Q 3: square root of 4Real, rationalReal, irrational Q 4: 3½Real, irrationalReal, rational Q 5: 6Real, rational, integerReal, rational Q 6: 7.456057891............Real, rationalReal, irrational Q 7: 7.38609Real, rationalReal, irrational Q 8: 4.67526526..........Real irrationalReal rational Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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