Vocab
A(n) ___ is used to raise a number to a power.
Exponent
Write each expression using exponents.
x * x* x
x3
Write each expression using a positive exponent.
9-4
1/9^4
Find each product or quotient. Express using positive exponents.
3^5 * 3^-2
33
Express each number in standard form.
9 x 10-2
0.09
Evaluate each expression. Express the results in scientific notation.
(4.45 x 109)(1.3 x 106)
5.785 x 1015
Find each square root or cubed root.
sqrt169
13
A(n) ___ is any number that is rational or irrational.
Real Number
Write each expression using exponents.
f*f*g*g*g*g
f2g4
Write each expression using a positive exponent.
(-10)-2
1/-10^2
Find each product or quotient. Express using positive exponents.
(-7)*(-7)^4
(-7)5
Express each number in standard form.
2.52 x 105
252,000
Evaluate each expression. Express the results in scientific notation.
5.85 x 105 / 3.9 x 10-6
1.5 x 1011
Find each square root or cube root.
sqrt-25
No solution
A(n) ___ is a number whose decimal repeats with a pattern or terminates.
Rational Number
(examples: 5.33333..., -5.3, 2/3, 8, 4.111...,
sqrt25)
Evaluate each expression.
35
243
Write each ration as an expression using a negative exponent other than -1.
1/6^3
6-3
Find each product or quotient. Express using positive exponents.
9^4 /9^5
1/9
Express each number in scientific notation.
47,000
4.7 x 104
Evaluate each expression. Express the results in scientific notation.
(7.4 x 104)+(3.56 x 105)
4.3 x 105
Find each square root or cube root.
3sqrt729
9
A(n) __________ is a number whose decimal goes on forever with no pattern.
Irrational Number
(examples: pi, -5.473819322...
sqrt2)
Evaluate the expression.
4^0*5
5
Write each ration as an expression using a negative exponent other than -1.
1/64
8-2 or 4-3 or 2-6
Find each product or quotient. Express using positive exponents.
k^10 / k^4
k6
Express each number in scientific notation.
0.000561
5.61 x 10-4
Evaluate each expression. Express the results in scientific notation.
(3.6 x 107) - (2.85 x 105)
3.5715 x 107
What two integers is the square root between?
sqrt52
7 and 8
If x3=y, then x is the ___ of y .
(How do you get x by itself?)
Cube root
Evaluate the expression if W = -3/4, x = 4, y=1, and z = -5
w4x2yz
-25 5/16
Write each ration as an expression using a negative exponent other than -1.
1/27
3-3
Find each product or quotient. Express using positive exponents.
(2h^7)(6h)
12h8
The mass of the Sun is 1.98892 x 1015. Express in standard form.
1,988,920,000,000,000
A fin whale weighs 9.92 x 104 pounds. A blue whale weighs 2.87 x 105 pounds. Estimate how many more pounds the blue whale weighs than the fin whale.
about 2 x 105 pounds
Estimate the square root to the nearest integer.
sqrt82
about 9