Working With Exponents

Rules of Exponents

100

 X²+X²

2X²

200

(X²)³

X⁶

300

X⁴/X²

X²

400

X⁴+X³+X²

X⁴+X³+X²

500

X(X²+X)

X³+X²

Reading Scientific Notation

100

The distance from Boston to the Dominican Republic is 1.632x10³ miles

1,632 miles

200

The median household income in the United States is $6.1937x10⁴.

$61,937

300

Mars is 5.6x10⁷ kilometers away from earth.

56,000,000 fifty-six million

400

There are 7.125x10⁹ people on earth

7,125,000  Seven billion, one hundred and twenty-five million.

500

The thickness of a sheet of paper is 5x10^-4 meters.

.0005 meters or .5 millimeters

Writing Scientific Notation

100

The average single family home in Massachusetts costs $490,000. Convert to Scientific Notation

4.9x10⁵

200

The largest mountain on earth, Mauna Kea is about 33,500 feet tall.  Convert to scientific notation.

3.35x10⁴ feet

300

The Lockheed SR-71 Blackbird is the fastest jet aircraft in the world, reaching speeds of Mach 3.3--that's more than 2,100 mph. Convert to Scientific Notation

2.1x10³ mph

400

The average smartphone offers 64 Gb of memory. If one Gb is equal to 1,000,000,000 bytes, how many bytes does the average smart phone offer. Record your answer in scientific notation.

6.4x10⁹ bytes

500

There are an estimated 3,040,000,000,000 trees in the world. Express this number in scientific notation.

3.04x10¹²

Which Came First?

100

Football or Soccer

Soccer 1863

Football 1869

200

Lebron James or Cristiano Ronaldo

Lebron James: December 30, 1984

Cristiano Ronaldo: February 5, 1985

300

New Bedford of Fall River?

Fall River (1670)

New Bedford (1787)

400

The Louisiana Purchase or The Treaty of Versailles

The Louisiana Purchase (1803)

The Treaty of Versailles (1918) ended World War I

500

Barack Obama or RuPaul

RuPaul

Barack Obama: August 4, 1961

RuPaul: November 17, 1960

Interest

100

How much interest is earned on $124 at 4% for one year? 

A. $4.96

B.$10.10

C.$12.40

A. $4.96

200

How much interest does a $276 investment earn at 9% over seven years? 

A. $215.90

B. $178.88

C. $63.00

B. $178.88

300

If I invest $100,000 at the age of thirty in a fund that has an average rate of return of 10% per year, how much will the account be worth when I am fifty?

A.$50,000

B.$300,000

C.$672,750

C. $672,750

400

Name the two types of interest

Simple and Compound

500

The current mortgage rate is 3%. If you borrow $350,000 for the purchase of a house how much will it cost over the life of the loan (30 years).

A. $350,000 

B. $530,000

C. $700,000

B. $530,000