Quarter 1 Review: NO CALCULATOR!

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Quarter 1 Review: NO CALCULATOR!
Classwork
Absolute Value
Examples:
|−6| = 6
−|0.8| = −0.8
BIG IDEA: Absolute value is how far a number is away from __________ on a number line.
*If the negative is on the outside of the brackets, the answer is ________________,
otherwise the answer is positive
1. |−8| = _______ 2.
−|−25| = ________ 3.
−|0.25| =________ 4.
3
| | = _________
4
Integer Operations
Examples: -6 + (-5) = -11
7 – 12 = -5
77
5.
14 + (-1)
6.
8.
-25 – 16
9. 10 – 21
11. -3 + (-31)
14.
12.
−56
-9∙4 = -36
−8
7.
−11
10.
−144
=7
-19(3)
-11(-13)
13. -46 + 49
−3
Determine whether x ∙ y would be positive or negative. Justify your answer.
x
0
y
___________________________________________________________________
___________________________________________________________________
15.
What addition equation is modeled below?
16.
What multiplication equation is modeled below?
17.
The record low temperature in the fictional land of Cooktopia is -146°F. The record high
temperature is 24°F. What is the difference between the record high temperature and
the record low temperature?
18.
A narwhal leaps from the water to 12 feet above sea level then dives 15 feet below the
surface. What is the difference the narwhal traveled?
Scientific Notation
Examples:
4.21 x 10-5 = 0.0000421
5,304,000,000 = 5.304 x 109
BIG IDEA: A positive exponent moves the decimal to the ______________, and a negative
exponent moves the decimal to the _______________.
Complete the table.
#
Standard Form
19)
0.621
20)
Scientific Notation
7.25 × 10-9
1.09 × 104
21)
22)
95,010,000,000
23)
820
6.021 × 100
24)
Fractions, Decimals, and Percents – To Change a…
**Fraction  Decimal: ______________top by bottom
**Decimal  Percent: Move decimal place two spots to the _____________.
**Percent Decimal: Move decimal place two spots to the _____________.
**Fraction Percent: Divide top number by bottom number. Move the decimal two spots to the
___________.
Convert each fraction into a decimal.
25.
7
59
26.
2
3
27.
5
8
Convert each decimal into a percent.
28. 0.567
29. 3.22
30.
0.333…
Convert each percent into a decimal.
31. 24.6%
32. 33.3̅%
33. 0.58%
Convert each fraction into a percent.
34.
25
3
35.
50
2
36. 1 5
8
Fill in the blank with a >, <, or = to make a true statement.
37.
4.2 x 10-1____ 0.42%
1
39. 2.10 x 100 _____ 2.101
38. 22 ____240%
40. Place the following numbers in descending order. (Big  Small)
2
4.4 x 10-4
4 %
5
12
48%
20
Square Roots
Examples:
√49 = 7
√144 = 12
41. √25 = ________
42. √196 = ________
43.
√361 = ________
PEMDAS – Use PEMDAS to simplify each expression.
44.
−16(−1)
44.
−3+(−1)
121
46. −8(−3) + −11
−36
9
45. −4(−2 + 3)2
− 32 + 15
47. 42 − 8(3)
Powers of Ten
Example : 10−3 =
1
103
=
1
1000
= 0.001
48. Write 0.00001 as a power of ten
50. Write
1
104
49. Write 10−2as a fraction
as a decimal
*Study properties!!!*
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