Chapter 1 Test Review

Fractions and Decimals

100

Write 73/100 as a decimal

0.73

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

300

Write 0.636363... as a fraction

* Hint 0.63636363 2nd PRB

7/11

400

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

0.424242... 

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 

Exponents

100

Write 4x4x5x4x6x5x6 using exponents 

4³5²6²

200

Simplify so there are only positive exponents 

2^-6 / 2^-10

2⁴ or 16

300

Simplify the expression

12x^-4y⁶ x 5x⁸y

60x⁴y⁷

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? 

10⁹ 

500

Simplify the following expression: 

(4w²)⁶

4⁶w¹²

^or 

4096w¹²

Scientific Notation

100

Write 2.4 x 10⁶ in standard form

2400000

200

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

8 x 10^-7

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

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

500

Assume a photograph requires 2 x 10⁶ bytes 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 

Roots and Estimating Roots

100

What is the square root of 400?

20

200

Simplify

√(64/81)

8/9

300

Which symbol would be used to compare these two numbers? 

√(9)    ?       0.734

>

400

The √5 is in between what two numbers? 

2 and 3 

500

Simplify 

√(-100/144) 

No Solution

Rational vs Irrational

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

Order the following numbers from least to greatest: 

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

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

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

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

No 

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