Fractions and Decimals
Exponents
Scientific Notation
Roots and Estimating Roots
Rational vs Irrational
100

Write 73/100 as a decimal

0.73

100

Write 4x4x5x4x6x5x6 using exponents 

435262

100

Write 2.4 x 10in standard form

2400000

100

What is the square root of 400?

20

100

Classify the following numbers as rational or irrational: 

6/9

-√11

 π

10.267267...

Rational: 6/9 and 10.267267... 

Irrational:  π and -√11

200

Convert these decimals into fractions: 

0.34

2.8

1.10

0.54 

* Hint type in the decimal then hit 2nd PRB on calculator 

0.34 = 17/50

2.8 = 2 and 4/5

1.10 = 1 and 1/10

0.54 = 27/50

200

Simplify so there are only positive exponents 

2-6 / 2-10

2or 16

200

The average diameter of read blood cells is 0.0000008 m. Write in scientific notation. 

8 x 10-7

200

Simplify

√(64/81)

8/9

200
Order the following numbers from least to greatest: 

5.68, -5.5, 68%, -27/4

-27/4, -5.5, 68%, 5.68

300

Write 0.636363... as a fraction


* Hint 0.63636363 2nd PRB

7/11

300

Simplify the expression

12x-4yx 5x8y

60x4y7

300

The average distance from Venus to the Sun is 110,345,000 kilometers. Which one is the correct in scientific notation? 

1.10345 x 106

1.345 x 108

1.10345 x 108

1.345 x 106

1.10345 x 108

300

Which symbol would be used to compare these two numbers? 


√(9)    ?       0.734



>

300

Out of the following numbers, which are written correctly in scientific notation? 

4.4 x 106

0.15 x 103 

80 x 10-10

11.3 x 102 

7.6 x 104

3 x 10-5

3.4 x 81 

2.32 x 10-7

4.4 x 106

7.6 x 104

3 x 10-5

2.32 x 10-7

400

How can 14/33 be written as a repeating decimal? 

0.424242... 

400

The processing speed of a certain computer is 106 instructions per second. Another compute has a processing speed that is 103 times faster. How many instructions per second can the faster computer process? 

10

400

Out of the following planets which one has the smallest diameter? Largest diameter? 

Mars 7 x 106

Venus 1 x 107

Jupiter 1 x 108

Uranus 5 x 107

Earth 1 x 107

Mercury 5 x 106

Neptune 5 x 107

Saturn 1 x 108

Smallest diameter: Mercury

Largest diameter: Jupiter and Saturn

400

The √5 is in between what two numbers? 

2 and 3 

400

√(8) is not a rational number. Is 7+ √(8) a rational number? 

No 

500

Convert each fraction into a decimal and determine if they are terminating or repeating: 

83/10

1/5

7/13

83/10 = Terminating 

1/5 = Terminating 

7/13 = Repeating 

500

Simplify the following expression: 

(4w2)6

46w12

or 

4096w12

500

Assume a photograph requires 2 x 10bytes of space on a computer. the computer has a total storage capacity of 2 x 108 bytes. 

True or false: The computer can store about 1500 pictures. 

False 
500

Simplify 

√(-100/144) 

No Solution

500

From the following numbers, choose all that are irrational: 

86/5

(√(12)) / 4

0.831831... 

√(10) - 3

π - 7

π - 7 

(√(12)) / 4

√(10) - 3

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