Rational & Irrational Numbers
What type of number is the square root of 16. Rational or Irrational?
Rational
What is the square root of 121?
11
What is the value of 5^0?
1
Write 5000 in scientific notation.
5 x 10^3
Convert the repeating decimal 0.636363… into a fraction.
21/33
Calculate the cube root of 512.
8
Simplify x^2 ⋅ x^3 using the Product of Powers Property.
x^5
Convert 3.2×10^4 to standard form.
32,000
Identify whether 3.14 is a rational or irrational number.
Rational
If the side length of a cube is 4ft, what is its volume? Label the units.
64ft^3
What is the Quotient of Powers Property? Give an example.
When dividing exponents with the same base, you subtract the exponents.
4^8 / 4^6 = 4^2 (16)
How do you compare 1.5×10^3 and 2.1×10^2?
1.5×10^3 is greater than 2.1×10^2
What is a perfect square? Provide an example.
A perfect square is a number when multiplied by itself gives the original number. 1,4,9,16,25,36,49,64,81,100,121,144...
How do you find the square root of a non-perfect square?
Steps:
Find Perfect squares around number.
Use those to approximate the decimal.
Check answer by multiplying number by itself.
If 2^3=8, what is 2^−3?
1/8
Explain how to add 2.5×10^3 and 3.0×10^3 in scientific notation.
5.5×10^3
Approximate the square root of 72 and round to the nearest tenth.
8.5
Explain the inverse relationship between squaring a number and finding its square root.
x^2=y, square root of y=x
4^2=16, square root of 16=4
Explain the Power of Powers Property and simplify (x^2)^3.
When raising an exponent to another exponent, you multiply the exponents: x^6
Provide an example of a large quantity expressed in scientific notation and explain its components.
Any number above zero so we get a positive exponent. Examples vary