Pre-TestUnit7:RealNumbers
No calculator necessary. Please do not use a calculator.
Convert the following fraction to a decimal or decimal to a fraction. (5 pts; 3 pts for correct set-up/work, 2 pts for
correct answer)
mmm
1. 0. m45
2.
Identify if the given number is rational or irrational and explain how you know. (5 pts; 2 pts for correct answer,
3 pts for explanation)
3. √25
4. √2
5. ³
6. 0.45
Evaluate the following roots. (5 pts; no partial credit)
7. √49
8. √X27
$
Approximate the square roots to one decimal place. (5 pts; 2 pts for whole number accuracy, 1 pt if within 0.1)
9. √20
10. √8
Compare the following irrational numbers using < or >. (5 pts; no partial credit)
11. √21
12. X√17
√19
X√15
List the following numbers in order from least to greatest. (5 pts; no partial credit)
13. √7, ³, 3, 4.15m,
14. √27, √23, 5,
255
Match the given number with the letter that approximates that number’s position on the number line. (5 pts; no
partial credit)
A
E
B
D
C
2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5
15. √14
16. √5
17. √40
Estimate the value of the expressions to the nearest whole number. (5 pts; 3 pts for correct √
18. 2√35
approximations)
19. 5 + √50
Answer the following question. (5 pts, partial credit at teacher discretion)
20. A calculator displays the following number in its display: 0.37 which does not fill the display screen. Is this
enough to determine whether this number is rational or irrational? In at least one complete sentence, explain
why.
256