Number Sets
List all of the sets that that -3 belongs to
R, Q, Z
(2+7) / (4-5)
-9
Write 47 in expanded form
4x4x4x4x4x4x4
Simplify x7 * x5
x12
Write 8.76 x 10-4 in standard notation
Is 7.425425425... rational or irrational? Why?
Rational - repeating decimal
(2 + 3) x (6 - 9 / 3)
15
Write (-3)3 in expanded form
(-3)x(-3)x(-3)
Simplify m8 / (m3)2
m2
Write 6.023 x 109 in standard notation
6 023 000 000
R, Q, Z, W, N
(4 + 32) - (4 / 2 x 4)
5
Write -25 in expanded form
-2x2x2x2x2
Simplify. Write final answer with positive exponents.
(m2)-4 * m5
m-3 = 1 / m3
Write 0.000007543 in scientific notation
7.543 x 10-6
Give an example of a set that has the density property (a dense set).
Rational Numbers / Irrational Numbers
[32 / (3 + 1)2] + (3 - (-1))
6
Will (-4)12 produce a positive or negative result? Why?
Positive - even # of negatives being multiplied
Simplify, then evaluate. Leave answer as fraction if necassry.
((-4)2)3 / [(-4)12 * (-4)-4]
1 / (-4)2
= 1 / 16
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
infinity
((-7) x (-3) + 4) / (22 - (-1))
5
Write (3/5)-2 in expanded form
(5/3)x(5/3)
Simplify
4x2y * 3x3y3
(2x2y)2
3xy2
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