Section 3.4: The Real Number System
irrational number
a number that cannot be expressed as the
quotient a, where a and b are integers and b≠0.
b
= 1.414213562.... (does not terminate or repeat)
real numbers
set of rational numbers and irrational numbers together
1
Whole, Integer, Rational, Irrational
Name all sets of which each real number belongs.
1. 0.090909.....
2. 3. -
4.
5. -2 2/5
6.
2
3
Estimate each square root to the nearest tenth. Then graph the square root on a number line.
7. 8. ­
9. 4
Compare.
10. 3 1/3
11. 4.03
12. 2½
Order from least to greatest.
13. , , 2.25, 2.2
5
14. If the area of a square is 33 square inches, estimate the length of a side of the square to the nearest tenth of an inch.
15. How much greater is the perimeter of a square with area 250 square meters than a square with area 125 square meters?
6
16. The geometric mean of two numbers a and b can be found by evaluating √a b. Estimate the geometric mean of 4 and 11 to the nearest tenth.
17. The time in seconds that it takes an object to fall d feet is 0.25√d. How many seconds would it take for a baseball that is hit 250 feet straight up in the air to fall from its highest point to the ground?
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8