End of Topic 2 Jeopardy!

Scientific Notation (basics)

100

In the year 2013 the population of California was about 38,332,521 people. Write the estimated population in scientific notation

3.8x10⁷

200

The wave length of a green light is about 0.00000051 meters. What is the wave length in scientific notation? 

5.1 x 10^-7

300

Jay rights 0.00000044 in scientific notation as 

4.4x10^-6, are they correct? 

No because they just counted the number of zeros, not the place value. It should be 4.4x10^-7

400

Which is smaller? 

4.5x10^-2 or 6.7x10^-7

6.7x10^-7

500

Which is larger? 

5.4x10⁸ or 6.78x10⁶

5.4x10⁸

Operations with Scientific Notation

100

8.2x10² x 4.3x10¹

3.526x10⁴

200

1.83x10⁶  ÷ 3.0x10¹

6.1x10⁴

300

2.3x20⁶ + 1.6x10⁹

1.6023x10⁹

400

4.1x10⁴+5.6x10²

4.044x10⁴

500

(4.2x10^-5 )(2.5x10³)

1.05x10^-1

Exponent laws

100

Simplify:  (x⁴)(x⁶)

x²⁴

200

Simplify:  6^-12

1/6¹²

300

Simplify: 5² ÷ 5⁷

1/5⁵

400

Simplify: (7³)⁵

7³⁵

500

Simplify:  (4²)⁵  ÷ (4³)(4) x 4⁰

4⁶

Square roots / Cube roots

100

x² = 25

x=5 and -5

200

The volume of a cube is 216 m³, what are the side lengths of the cube? 

s = 6

300

Estimate:  x² = 19

x = ±4.35

400

Which numbers are rational: 

√36,   √45,   √12,  -√49,   √100,   -√15

√36,  -√49,  √100

500

x1.5 points if you can solve/simplify without a calculator: 

Simplify:  (√32)²

32

Misc review

100

True or False:  Repeating decimals are irrational because they never end

False - repeating decimals can be written as fractions! 

200

-34 - (-90) + 100 

156

300

7.6 x 3.4 

(no calculator)

25.84

400

Solve for x: 

4x + 9 = -36

x = 27/4 = 4 and 3/4 = 4.75

500

√16 + (2³ - 2⁶/2⁴) x (1000⁰)³

16