Rational Numbers as Decimals
Real Numbers
Squares, Cubes, Square Roots, Cube Roots
Properties of Integer Exponents
Scientific Notation
Operations with Scientific Notation
100
Rational numbers are decimals that _____________ or _____________
terminate or repeat
100
Choose which numbers below are irrational numbers:
5, -11.2, -6, 1/2, Pi
Pi
100
Classify the following number as a perfect square, perfect cube, both, or neither:
24
neither
100
Find 56(53)(52)(50)
511
100
In the year 2013 the population of California was about 38,332,521 people. Write the estimated population as a single digit times a power of 10.
4 x 107
100
Find (2.8 × 104) × (4 × 105). Write your answer in scientific notation.
1.12 x 1010
200
Write the fraction as a decimal:
7/10
0.7
200
True or False - Integers are rational numbers.
True
200
A square photo has an area of 196 cm2. What is the length of each side of the photo?
14 cm
200
Evaluate (43)5 and write your answer as an exponent
415
200
The wavelength of green light is about 0.00000051 meter. What is this estimated wavelength as a single digit times a power of 10?
5 x 10-7
200
Find (6 × 109) ÷ (2.4 × 103). Write your answer in scientific notation.
2.5 x 106
300
Write the decimal as a fraction in reduced terms:
0.15
3/20
300
Classify as rational or irrational and explain why.
2/3
It's rational because it's a repeating decimal.
300
Solve:
x2 = 49
x = +-7
300
4^10/4^-2.
412
300
The land area of Connecticut is about
1.2449 x 10^10
square meters. The land area of Rhode Island is about 2,707,000,000 square meters. About how many times greater is the land area of Connecticut than the land area of Rhode Island?
about 4 times greater
300
Find (4 × 104) x (5 × 106). Write your answer in scientific notation.
2 x 1011
400
Write the following decimal as a fraction in reduced terms:
4 5/11
400
Between which two whole numbers does the root below lie? Use the CLOSEST SQUARE ROOTS to find your answer.
sqrt(89)
It's between 9 and 10 because it's between
sqrt(81) and sqrt(100)
400
Solve:
x3 = 99
x =
3sqrt(99)
400
Write using a positive exponent: 9-4
1/9^4
400
Write 0.0000000068 in scientific notation.
6.8 x 10-9
400
The population of Town A is 1.26 × 105 people. The population of Town B is 1.2 ×104 people. How many times greater is the population of Town A than the population of Town B?
10 times greater or 101
500
Write the following decimal as a fraction in reduced terms:
2/45
500
Order the following numbers from least to greatest:
2 1/3, Pi, sqrt(8), 2.9, 2 1/4
2 1/4, 2 1/3, sqrt(8), 2.9, Pi
500
A container has a cube shape. It has a volume of 216 cubic inches. What is the AREA of ONE FACE of the container?
36 in2
500
Evaluate 2(x0)(y-2) if x = 2 and y = 5
2/25
500
Write 1.359 × 105 in standard form.
135,900
500
There are 3 schools in Davis County. The largest school has a population of 3.45 x 103, the middle-size school has a population of 1201 students and the smallest school only has a population of 1.22 x 102 students. How many more students are there in the large school than the small school? Write your answer in scientific notation.
3.328 x 103