Name: __________________________ Block: ____ Date: _______________
Math 7: QUEST Study Guide-Mini Unit 2.1-2.3
SOLs 7.1
Complete the chart below by converting fractions to decimals to percents. Express fractions
in simplest form.
fraction
decimal
percent
1
1.
4
0.48
2.
3.
36%
2
3
4.
0.125
5.
6. The body of an average person contains 2.502 x 10
number in standard form.
4
lbs of copper. Express this
7. The state of Colorado covers about 1.041  10 square miles Express this number in
standard form.
5
8.EXPRESS EACH OF THE FOLLOWING NUMBERS IN PROPER
9. EXPRESS EACH OF THE FOLLOWING IIN STANDARD FORM:
SCIENTIFIC NOTATION:
a.
0.000033
= ________________
a.
3.7 x 105
= _____________________
b.
50,000.
= ________________
b.
3.21 x 10-4
= _____________________
c.
0.000002
= ________________
c.
6 x 105
= _____________________
d.
230,000
= ________________
d.
1.99 x 10-3
= _____________________
e.
465
= ________________
e.
1.7 x 1012
= _____________________
f.
236,000,000,000
= ________________
f.
8.653 x 10-17 = _____________________
g.
0.000000000000236 = ________________
h.
48.95
____________________
=
Use the following symbols to make a true statement <, >, or = .
27
36
10. 0.74
11.
4.25 x10−5
4.24 x10−4
Order each set of numbers from least to greatest.
12.
2
3
,
0.6, 6.6%, 6.6 𝑥 102
13.
4
5
, 0.87, 86%, 8.6 × 10−2
14. Write 10−3 as a fraction and decimal.
Fraction:____________
15. Write the fraction
Decimal:___________
1
1,000,000
as an expression using NEGATIVE exponent.
16. Evaluate each
17. Evaluate each
63 =
25 =
53 =
52 =
103 =
105 =
18. Evaluate each
19. Evaluate each
(−1)4 =
(−2)4 =
(−1)5 =
(−4)2 =
(−1)6 =
(−2)6 =
20. Evaluate each
−(−3)3 =
−(−2)5 =
3
−(−5) =
21. Evaluate each
−(−9)2 =
−(−8)2 =
−(−7)2 =
22. Evaluate each
23. Evaluate each
−42 =
−23 =
−62 =
−33 =
−102 =
−43 =
24. Compare each
25. Compare each
16,000,000 ________ 1.6 × 106
102 _________ 1.2 × 102
230,000 ________ 2.3 × 104
103 _________ 1.2 × 102
10 ________ 1 × 101
104 _________ 1.2 × 105
26. Compare each
10−5 ____2 × 10−6
27. Express the sum as decimal
100 + 10−1 + 10−2 =
10−3 ____2 × 10−2
20 + 2−1 =
10−1 ____2 × 10−1
10 + 1−1 + 1−2 =