Topic A
Topic B
Topic C
Topic D
Topic E
Exp Rules
Scientific Notation
Sqrs/ Cubes
100
A phone app is downloaded 1,900,000,000 times. Write this number in scientific notation.
What is
1.9 x 109
100
What value of m makes the equation 7m = 78 ∙ 75 true?
What is 13 .
713 = 78 ∙ 75
100
Evaluate (9.54 × 106) ÷ (6 × 10-3) . Write your answer in scientific notation.
What is 1.59 × 109
(9.54 × 10^6)/(6 ×10^-3) = 9.54/6 × 10^6/10^-3 = 1.59 × 10^(6-(-3) ) = 1.59 × 10^9
100
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
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).
100
Simplify :
7^-5 *7^4
7^(-5+4) = 7^-1 = 1/7
100
Write in scientific notation:
0.0000723
7.23xx10^-5
100
What is
4^3
4^3 = 4*4*4 = 64
200
200
Which of these expressions are equivalent to equivalent to 54 ?
and 
200
A newborn opossum weighs about 0.000287 pounds. What is the weight of the opossum rounded to the nearest ten thousandth pound? Write your answer in scientific notation.
3 × 10 -4 pounds
200
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
200
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).
200
Simplify :
(y^-4)^3
(y^-4)^3 = y^(-4*3) = y^-12 = 1/(y^12)
200
Write in Scientific Notation :
118000
1.18 xx 10 ^5
200
What is
sqrt25
(It is a perfect square!)
sqrt25 = sqrt(5^2) = +-5
300
Approximately 1.3 × 105 people ride the subway every weekday in city A. Approximately 5.2 × 106 people ride the subway every weekday in city B.
The number of people who ride the subway every weekday in city B is approximately ______ times as many as the number of people who ride the subway every weekday in city A.
The number of people who ride the subway every weekday in city B is approximately 40 times as many as the number of people who ride the subway every weekday in city A.
What is 40 times.
300
Which of the following expressions are equivalent to 5-4 ?
and 
300
What is the value of (8.3 × 10-8) − (5.6 × 10-9) ?
7.74 × 10-8
Expand them out and then subtract. Orrrrr
(8.3 × 10-8) − (5.6 × 10-9) = (8.3 × 10-8) − (0.56 × 10-8) = (8.3 - 0.56) × 10-8= 7.74 × 10-8
300
What is
root3(64)
What is 4 ?
4^3 = 64
root3(4^3) = 4
300
Order the numbers from least to greatest: 
300
Simplify:
3x0y2
3y2
3x^0y^2 = 3 (1) y^2 = 3y^2
300
Compute :
( 5 × 10^3)( 3.5 × 10^-1)
1.75 × 10^3
300
What is
sqrt400
sqrt400 = sqrt (20^2) = +-20
400
Written in scientific notation, what is the sum
(5.3 × 109) + (6.8 × 109)?
What is
1.21 x 10^10
400
Which expressions are equivalent to
w^-7/w^-4
B and D are equivalent.
400
True or False ?
The diameter of spider silk is about 8 times as large as the diameter of pet dander.
TRUE ! The diameter of spider silk is about 8 times as large as the diameter of pet dander.
(4 xx 10^-3) / (5xx10^-4) = 0.004/0.0005 = 8
(4xx10^-3)/(0.5xx10^-3) = (4/0.5)xx(10^(-3-(-3))) = 8xx10^0 = 8 * 1 = 8
400
What is
sqrt196
sqrt(196)=sqrt(14^2) = 14
400
What is the approximate value of
sqrt13
sqrt13 approx 3.6
400
Simplify :
x^-1/(4x^4)
x^-1/(4x^4) = 1/(4x^4x^1)= (1)/(4x^(4+1) )=1/(4x^5)
400
Compute :
( 8.31 × 10^-3)( 6.6 × 10^-6)
5.485 × 10^-8
400
Approximate to the nearest tenth :
What is the
root3(25)
root3(25) approx 2.9
500
Find the difference (9.56 × 107) − (4.31 × 106). Write your answer in scientific notation.
What is
9.129 × 107
500
What value of n makes the equation true?
(y^2 *z^0)^3=y^n
What is 6.
(y^2 *z^0)^3=y^6
500
True or False?
The diameter of a dust mite is about 250 times as large as the diameter of pet dander.
TRUE!! The diameter of a dust mite is about 250 times as large as the diameter of pet dander.
(1.25xx10^-1)/(5xx10^-4) = 0.125 / 0.0005 = 250
(1.25xx10^-1)/(5xx10^-4) = (1.25xx10^-1)/(0.005xx10^-1) = (0.125/0.005) xx 10^(-1-(-1)) = 250 xx 10^0 = 250 * 1 = 250
500
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
500
Determine the approximate value of this vale and graph on a number line :
sqrt7
500
Simplify :
(3x^3y^-1z^-1)/(x^-4y^0z^0)
(3x^7)/(yz)
500
Simplify
(18 × 109) ÷ (6 × 107)
(18/6) xx10^(9-7) = 3xx10^2
500
Approximate to the nearest tenth :
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
root 3(100) approx 4.6