List out your perfect squares from 1-10.
1^2 =1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
Rational or Irrational ?
sqrt4
-7/9
0.341
Rational !
A rational number is any number that can be written as a simple fraction. Rational numbers can include positive and negative whole numbers (like 5, which is 5/1), terminating decimals (like 0.5, which is 1/2), and repeating decimals (like 0.333..., which is 1/3).
Simplify
x-2
1/x^2
Write in scientific notation:
0.0000723
7.23xx10^-5
What is
4^3
4^3 = 4*4*4 = 64
List out your perfect cubes from 1-5.
1^3 = 1*1*1 = 1
2^3 = 2*2*2 = 8
3^3 = 3*3*3 = 27
4^3=4*4*4=64
5^3 = 5*5*5 = 125
Rational or Irrational ?
0.70770777
sqrt 18
pi
Irrational !
An irrational number is a real number that cannot be expressed as a simple fraction. In decimal form, irrational numbers are non-terminating and non-repeating, meaning their decimal expansion continues infinitely without any repeating pattern. Examples include pi (π), the square root of 2 (√2), and Euler's number (e).
Simplify
1/x^-4
x^4
Write in Scientific Notation :
118000
1.18 xx 10 ^5
What is the
root3(64)
root3(64) = root3(4^3)= 4
What is
root3(64)
What is 4 ?
4^3 = 64
root3(4^3) = 4
Order the numbers from least to greatest:
Simplify :
a^7b^-5
a^7/b^5
Compute :
( 4.11 × 10^5)( 8.65 × 10^−5)
3.555 × 10^1
What is
sqrt225
(It is a perfect square!)
sqrt225 = sqrt(15^2) = 15
What is
sqrt196
sqrt(196)=sqrt(14^2) = 14
What is the approximate value of
sqrt13
sqrt13 approx 3.6
Simplify :
x^-1/(4x^4)
x^-1/(4x^4) = 1/(4x^4x^1)= (1)/(4x^(4+1) )=1/(4x^5)
Compute :
( 5 × 10^3)( 3.5 × 10^−1)
1.75 × 10^3
What is
sqrt400
sqrt400 = sqrt (20^2) = 20
Solve the equation and write your answer as a fraction :
p^3=125/216
125/216 = 5^3/6^3=(root3(5^3))/root3(6^3) = 5/6
Determine the approximate value of this vale and graph on a number line :
sqrt7
Simplify :
(3x^3y^-1z^-1)/(x^-4y^0z^0)
(3x^7)/(yz)
Compute :
( 8.31 × 10^−3)( 6.6 × 10^−6)
5.485 × 10^−8
Approximate
root3(100)
The cubed root of 100 is between the cubed root of 4 and the cubed root of 5.
root3(64) <root3(100 ) <root3(125)
root3(4^3) <root3(100 ) <root3(5^3)
4 <root3(100 ) <5