Rational vs. Irrational
Determine if the following number is rational or irrational:
The square root of 25
Rational because the square root of 25 is 5.
Round the the closest tenth
The square root of 24
~ 4.9
5x - 10 = 25
Write in standard notation:
7.34 x 10^6
7,340,000
Simplify:
3^5 x 3^-5
3^0 = 1
Determine if the following number is rational or irrational:
The square root of 11
Irrational because the square root of 11 is a non-terminating decimal.
11
16 = v/3 + 8
v = 24
Write in scientific notation:
0.000254
2.54 x 10^-4
2n^2 x 2n^2
4n^4
Determine if the following number is rational or irrational:
8.2121212121
8.21 is a rational number because it is a repeating decimal
The square root of 38 is between which two integers?
6 and 7
5 - 8b = -8(b - 1)
5 = 1
No solution
(3.4 x 10^-6)(2.8 x 10^3)
Solve:
3 ^ -4
1/81
Define irrational
Irrational numbers are decimals that do not terminate or repeat
Square roots that are not perfect squares are irrational numbers
Find the square root of 38 and round the nearest tenth
~ 6.2
2 - 8x = 6x - 4(-1+3x)
x = -12
(8.6 x 10^7)
___________
(4.3 x 10^9)
2 x 10^-2
12^-1 =1/12^1 = 1/12
Define Rational
Rational numbers are integers, decimals that terminate or repeat, fractions that convert to repeating or terminating decimals, and perfect square roots
The square root of 28
8y + 18 = -2(-4y - 9)
All real numbers
(8 x 10^2) ^ 3
512 x 10^8 =
5.12 x 10^10
Solve:
4^2 x 3^3 x 6^-2
16 x 27 / 36 = 432/36 = 12