Real Number System
What is an irrational number?
A number that cannot be written as a fraction
What is 0.5555555... as a fraction?
5/9
Write the number in scientific notation.
72,400,000,000,000
7.24 xx 10^13
Simplify.
5^9 xx 5^4
5^13
4x+6+3=17
x=2
What is a perfect square?
A number that is the square of an integer.
What is 0.333333.... as a fraction?
1/3
Write the number is scientific notation.
0.0000000091
9.1 xx 10^-9
Simplify.
x^3/x^7
1/x^4
-5(6n+6)=30
n=-2
Which of the following are irrational?
sqrt(36)
sqrt(23)
-4.232323.....
0.151551555...
0.35555555....
pi
sqrt(23)
0.151551555...
pi
What is 0.19191919... as a fraction?
19/99
What is 6.9 xx 10^5 in standard notation?
690,000
Simplify.
(12^7)^4
12^28
37=-3+5(x+6)
x=2
Between which two numbers does
sqrt(42) lie?
6 & 7
What is 0.5454545454.... as a fraction?
6/11
Solve.
(2.8 xx10^4)xx(4xx10^5)
1.12xx10^10
Simplify.
(3x^2)^3xx3^4x
3^7x^7
-24 + 12d = 2(d-3) + 22
d = 4
Compare & order the following from least to greatest.
4.7777777, sqrt(18) , 4.3, 4 1/4
sqrt(18) , 4 1/4 , 4.3, 4.77777777
What is 0.6777777777... as a fraction?
61/90
Solve.
(4.1xx10^4)+(5.6xx10^6)
5.641xx10^6
Simplify.
(2x^5y^3z)/(8x^3y^9z^4)
(1x^2)/(4y^6z^3)
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
3 months