Rational/Irrational
Exponents
Sq.Root/Cube root
Scientific Notation
Operations of Scientific Notation
100
Which decimal is equivalent to 3/11?Is it rational or irrational?
0.27272727...........
100
Simplify: ( 3^-2)^4
1/6561
100
x^2=15
+ or - sq.root 15
100
Students at Salt Lake Community College pay 1.585 ×10^4 dollars for tuition.Students at George Washington University pay 4.573 ×10^5 dollars.How many times greater is the tuition at George Washington?
(4.573 x 10^5) = x (1.585 x 10^4) (4.573 x 10^5) / (1.585 x 10^4)=x (1.585 x 10^4)/(1.585 x 10^4) 29 = x
100

(8.42 x 10³) / (5 x 10²)

1.682 x 101

200
Which fraction is equivalent to 0.123123123123.....?
123/999
200

(1/(42))-3

46=4096

200
11 and -11 are sq.roots of what number?
121
200
There are 3.4x10^9 particles of dust per cubic meter. How many particles are there in a room that is 1200 cubic meters?
4.08 x 10^12
200

(2 x 10⁻⁴)(8.1 x 10⁻¹)

16.2 x 10-5=1.62 x 10-4

300
Determine a rational number between 1/3 and 3/4.
Different Answers.e.g 1/2
300
13^-4/13^-5
13
300

Place in order: √144,√4,√64,√1000

√4, √64,√144,√1000

300
The mass of a paper clip is 9.4 × 1 0^ -4 kilogram. What is this mass in standard form?
0.00094 kg
300

(6 x 10³)(9.91 x 10⁰)

59.46 x 103=5.946 x 104

400
The two trees in Opal’s back yard have circumferences of 12 5/8 inches and 12 3/5 inches. Which circumference is larger?
12 5/8
400

x-3y4/y-4x3

x-6y8  or y8/x6

400
Why doesn’t a cube root have two answers?
b/c in cube root, (2)^3= 8 (-2)^3=-8
400

Light travels at approximately 3.0 x 10^8 m/sec. How far does light travel in one hour?

1.018 x 10^11 m

400

(2.50 x 10⁻²) / (5.45 x 10⁻⁵)

0.459 x 103=4.59 x 102

500
When a rational number is added to an irrational number.What is the result :rational or irrational
Always Irrational. e.g 2 + 0.1234567...=2.1234567 2 + Sq.Root 3
500
4{-2x^-3(4x^2)}^3
-2048x^-3
500
√961 + 3√729 = ?
40
500
The half-life of Uranium 234 is 2.5 x 10^5 years and the half-life of Plutonium is 8.0 x 10^7 years. How many times greater is the half-life of Plutonium than Uranium 234?
Divide: (8.0 x 107 ) / (2.5 x 105 ) = 3.2 x 102 = 320 times greater.
500

(8.23 x 10⁶) x (2 x 104) / 4.22 x 10³

3.9 x 107

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