Rational and Irrational
What is 0.77777777777... as a fraction?
7/9
Which is a better approximation of √20, 4.5 or 4.47? Why?
4.47 is a better approximate because it is more precise
A perfect square, 132 = 169
Write an equivalent expression for (43)2
Anything that equals 46 or 4,096
Write 803,000,000 in scientific notation
8.03 x 108
Write 1.48484848484848... as a mixed number.
1 16/33
Between which two whole numbers does √89 lie?
Solve each one for x
1. x3 = 64
2. x2 = 49
1. x = 4
2. x = ±7
Write each expression using positive exponents
1. 9-4
2. 1/3-5
1. 1/94
2. 35
The wavelength of green light is 0.00000051 meter. What is this estimated wavelength as a single digit times a power of 10?
5 x 10-7
Which numbers are irrational?
1. √36
2. √23
3. 0.15155155515555...
4. -4.2323232323...
2. √23
3. 0.15155155515555...
Draw a number line and plot √15
Close to, but less than 4
Classify each as a perfect square, a perfect cube, both, or neither.
1. 27
2. 100
3. 64
4. 24
1. Perfect Cube
2. Perfect Square (8x8 and 4x4x4)
3. Both
4. Neither
Evaluate the expression for x=2 and y=5
-4x-2 + 3y0
2
The radius of a hydrogen atom is 0.000000000025 meter. How could you express this value in scientific notation?
2.5 x 10-11
What is the decimal equivalent of 188/11?
17.090909090909...
Which is larger, 5.7145... or √29?
5.7145...
A gift box is a cube with a volume of 512 cubic inches. What is the length of each edge of the box?
8 inches
Which expressions are equal to 5-3?
1. 125
2. 125-1
3. 53
4. 1/53
5. 1/125
2. 125-1
4. 1/53
5. 1/125
(6 x 109) ÷ (2.4 x 103)
2.5 x 106