Extremely Hard (I'm not kidding, you'll see) Math Jeopardy

Scientific Notation and some Enthusiasm

100

Write out normally:

3 X 10²

300

200

Write in scientific notation:

.02

2 X 10^-2

300

Simplify:

4 X ( 3 X 10³ )

Give your answer IN SCIENTIFIC NOTATION!

1.2 X 10⁴

400

How many ways could you order five different books?

120 (5!)

500

How many ways could you select two books out of 5?

10

Number Bases

100

Convert 10₆ to base 10.

6

200

Convert 23₈ to base 10.

19

300

Convert 12₃ to base 5.

10₅

400

Could a number base of 1 work? Why or why not?

no.

500

Add in base 2:

110₂

₊

100₂

_{Give your answer in BASE 2!}

1010₂

???

100

Evaluate:

3⁴

81

200

Between what two integers is the square root of 27?

5 and 6

300

Simplify the square root of 8.

2sqrt(2)

400

Evaluate:

-3 * (2 - 10 - (-7))

3

500

Evaluate:

(-2)*(-3) - 10^-1

5.9

Decimals (totally, 100% no number bases here)

100

What is .1₂ in base 10?

1/2

200

Write 1/3 (base ten) in base 3.

.1₃

300

What is .1111111...₂ in base 10?

1

400

Prove that .999999... is equal to one. (all in base ten, no weird bases here).

difference is .000000000....1, 3/3

500

What is .11_-2 in base 10? (think about what .1_-2 and what .01_-2 are)

-1/4

Weird Negative Bases

100

Convert the following to base 10:

11101_-2

13

200

Convert the following to base 10:

1010_-2

-10

300

Write the following in base -2:

11₁₀

11111_-2

400

Convert:

11_-3

_{to base -2}

10_-2

500

What is one more than 1101_-2 in base -2? (I'm asking you to count).

1010_-2