Unit 1 - Number Sense

Number Sets

100

List all of the sets that that -3 belongs to

R, Q, Z

200

Is 7.425425425... rational or irrational? Why?

Rational - repeating decimal

300

List all the sets 4 belongs to

R, Q, Z, W, N

400

Give an example of a set that has the density property (a dense set).

Rational Numbers / Irrational Numbers

500

Find the limit of 2n ; n is a Natural Number, as n goes to infinity

infinity

Order of Operations

100

(2+7) / (4-5) 

-9

200

(2 + 3) x (6 - 9 / 3)

15

300

(4 + 3²) - (4 / 2 x 4)

5

400

[32 / (3 + 1)²] + (3 - (-1))

6

500

((-7) x (-3) + 4) / (2² - (-1))

5

Exponents

100

Write 4⁷ in expanded form

4x4x4x4x4x4x4

200

Write (-3)³ in expanded form

(-3)x(-3)x(-3)

300

Write -2⁵ in expanded form

-2x2x2x2x2

400

Will (-4)¹² produce a positive or negative result? Why?

Positive - even # of negatives being multiplied

500

Write (3/5)^-2 in expanded form

(5/3)x(5/3)

Exponent Laws

100

Simplify x⁷ * x⁵

x¹²

200

Simplify m⁸ / (m³)²

m²

300

Simplify. Write final answer with positive exponents.

(m²)^-4 * m⁵

m^-3 = 1 / m³

400

Simplify, then evaluate. Leave answer as fraction if necassry.

((-4)²)³ / [(-4)¹² * (-4)^-4]

1 / (-4)²

= 1 / 16

500

Simplify

4x²y * 3x³y³

(2x²y)²

3xy²

Scientific Notation

100

Write 8.76 x 10^-4 in standard notation

0.000876

200

Write 6.023 x 10⁹ in standard notation

6 023 000 000

300

Write 0.000007543 in scientific notation

7.543 x 10^-6

400

Use exponent laws to simplify and write answer in scientific notation

3.12 x 10^-15 * 2.33 x 10⁵

7.2696 x 10^-10

500

Use exponent laws to simplify and write answer in scientific notation

7.45 x 10²⁰ * 4.63 x 10³

34.4935 x 10²³

3.44935 x 10²⁴