* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Natural Whole Integer Choose only one: Real Rational Irrational 0 5
Survey
Document related concepts
Foundations of mathematics wikipedia , lookup
History of logarithms wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Approximations of π wikipedia , lookup
Infinitesimal wikipedia , lookup
Surreal number wikipedia , lookup
Location arithmetic wikipedia , lookup
Large numbers wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Hyperreal number wikipedia , lookup
Positional notation wikipedia , lookup
P-adic number wikipedia , lookup
Transcript
1.7 Practice The Real Numbers System 1. Circle irrational numbers in the list: –2, –√ 2. , 0, –0.3, –√ , √ , , 7.010203… Choose the starting point, and then move toward “Real” Natural Whole Integer (counting numbers: 1, 2, 3, …) (and ZERO) (and negatives) NO DECIMAL PART Choose only one: Rational Irrational (N, W, Z, AND repeating or terminating, decimal part) (OR non-terminating, non-repeating decimal part) DECIMAL PART 0 5 -9 √ √ 0.141414… 0.010110111… Name all sets of numbers to which each real number belongs. 1. 12 2. –15 3. 1 4. 3.18 5. 6. 9. ̅ 7. – 2 8. √ 9. √ 10. – √ 11. – √ 12. 5.78791… 13. 3.589589… 14. 15. 16. Estimate the solution of a² = 21 to the nearest tenth. Real (all of them) Determine whether a given number is a member of a particular subset. Some numbers may appear more that in one subset: –√ , 5.37373…, 32, , −2 , 0 , 2.31, −1.9502… Natural numbers: __________________ Whole numbers: ___________________ Integers: ___________________ Rational Numbers: _________________ Irrational numbers: __________________ Real numbers: _____________________ 21. The area of a square painting is 600 square inches. To the nearest hundredth inch, what is the side of the painting? To the nearest hundredth inch, what is the perimeter of the painting? 22. Determine whether each statement is sometimes, always, or never true. Give an example to prove your answer. a) A decimal is an irrational number. b) An integer is a whole number. c) A natural number is an rational number. d) A negative integer is a natural number. 23. Estimate each square root to the nearest tenth. Then graph the square root on a number line. √ √ √ Challenge In Exercises 17– 20, evaluate the expression when x = –1, x = 0, and x = 1. Then determine whether the result is a whole number, an integer, or a rational number (most precise name). x2 1 24. x 3 25. x x2 2 1 x 26. x 2 1 27. x2 2 x3 2