Voabulary
What are real numbers? How are real numbers used to solve problems?
What is real numbers are any number you can put on a number line which are rational and irrational numbers.
1. Assign a variable
2. Set the repeating decimal equal to the variable
3. Multiply by a power of 10 that represents the amount of repeating digits
4. Subtract the repeating decimal
5. Solve for the value of 1 variable and simplify!
Classify the following number as a perfect square, perfect cube, both, or neither.
27
What is a perfect cube
3^3 = 27
Use the properties of exponents to write an equivalent expression for the following expression.
6^4 * 6^3 =
What is...
6^(4+3)=6^7
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.
What is 30,000,000 =
3*10^7
What is a Cube Root?
What is... a number whose cube equals the original number.
What is 0.77777... as a fraction?
What is...
7/9
Classify the following number as a perfect square, perfect cube, both, or neither.
100
What is a perfect square
10^2 = 100
Use the properties of exponents to write an equivalent expression for the following expression.
1/3^-5
What is
3^5
Write 0.0000000068 in scientific notation
What is
6.8 * 10^-9
What is a product of powers property?
What is... to multiply two powers with the same base, and keep the common base and add the exponents.
What is 0.044444... as a fraction?
What is
4/90
Classify the following number as a perfect square, perfect cube, both, or neither.
64
What is both
8^2 = 64
4^3 = 64
Use the properties of exponents to write an equivalent expression for the following expression.
4^10/4^4
What is..
Write
1.359 * 10^5
in standard form.
What is scientific notation?
What is... a way to express a number as the product of two factors, one greater than or equal to 1 and less than 10, and the other a power of 10
Classify -0.252525... as rational or irrational?
What is rational
Classify the following number as a perfect square, perfect cube, both, or neither.
24
What is neither
24 is not a perfect square or cube
Use the properties of exponents to write an equivalent expression for the following expression.
(3^6)^-2
What is...
3^(6*-2) = 3^-12=1/3^12
Perform the following operation. Express you answers in scientific notation.
(4.1*10^4) + (5.6*10^6) =
What is
(4.1*10^4) + (5.6*10^6) = (0.041*10^6)+(5.6*10^6) = (5.641*10^6)
What is a Perfect square?
Between which two whole numbers does the
sqrt(89)
fall between?
What is 9 and 10
A container has a cube shape. It has a volume of 216 cubic inches. What are the dimensions of one face of the container?
What is the dimensions of one face are 6inches * 6inches.
Evaluate the following expression for x=2 and y=5
2(x)^0(y)^-2
What is
2(x)^0(y)^-2 = 2(2)^0(5)^-2=2(1)(1/5^2)=2(1/25)=2/25
The population of Town A is
1.26*10^5
people. The population of Town B is
2.8*10^4
people. How many times greater is the population of Town A than the population of Town B?
What is
(1.26*10^5)/(2.8*10^4) = (1.26/2.8)(10^(5-4))=0.45*10^1=4.5*10^0 or just 4.5 times greater