8/24 - 9/2 Review

Bases & Exponents

100

In the expression "3^5"

What is 3 called ?

The Base

200

In the expression "10^8"

What is 8 known as?

The exponent

300

Write the following expression in EXPANDED form

(7/13)⁴

(7/13)*(7/13)*(7/13)*(7/13)

400

Solve the following expression

(3^2) * 8 + 28

100

500

Write the following expression in EXPANDED form then SOLVE 

(10²) + (10³) + (10⁴⁾

(100) + (1,000) + (10,000) = 11,100

Powers of 10

100

Solve the following expression:

(10^5) * 5

500,000

200

Rewrite 10,000,000 as a power of 10

10⁷

300

Write the following in expanded form:

10^-8

(1/10)*(1/10)*(1/10)*(1/10) * (1/10)*(1/10)*(1/10)*(1/10)

400

Write the following in DECIMAL form:

10^-4

(1/10000) = 0.0001

500

Write the following expression in EXPANDED and DECIMAL form

10^-5

(1/10) * (1/10) * (1/10) * (1/10) * (1/10) = (1/100000) = 0.00001

Scientific Notation

100

What is the base formula we use for scientific notation?

A*10^n

200

What range of numbers does "A" have to be in?

(For our formula to be correct)

1-10

300

How do we determine "N" in our formula?

Based on how many times we move the decimal, in order to create "A"

400

Convert the following number into scientific notation 

132000000

1.32 * 10^8

500

Convert the following number into scientific notation

0.000000000000002643

2.643 * 10^15

Comparing & Ordering Scientific Notation

100

When comparing numbers in scientific notation, what is the FIRST thing we check?

The exponents

200

If both Exponents are negative, the number that is __________ from 0 is the smaller number

farthest away

300

Which is larger?

2.5*10^8 or 9.23 * 10^4

2.5 * 10^8

400

Which is Smaller?

4.55 * 10^-13 or 1.03 * 10^-11

4.55 * 10^-13

500

Place in order LEAST to GREATEST

3.22 * 10^14

8.34 * 10^-3

5.79 * 10^5

2.1 * 10^30

8.34*10^-3

5.79 * 10^5

3.22 * 10^14

2.1 * 10^30

Random Trivia

100

Patrick Mahomes contract is worth $448000000. Write this number in scientific notation

4.48*10^8

200

Taylor Swift has sold 2.74 x 10⁸ albums in her career while Beyonce has sold 3.55 x 10⁸ 

How many more albums has Beyonce sold?

81,000,000

300

"Avatar" is the top grossing movie of all time at $2,923,710,708 ... Rewrite this number in scientific notation

2.923710708 x 10⁹

400

The Meteor that wiped out the dinosaurs traveled at approximately 45,000 miles per hour

How far would it have flew if it traveled for 10 hours?

Write your answer in scientific notation form

4.5 x 10⁵

(450,000 miles)

500

Total Career Points:

Lebron - 43,440

Kobe - 33,643

MJ - 32,292

Write their total COMBINED points in scientific notation form

1.09 x 10⁵