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100

Rewrite the following in standard form:

6.5393 x 104

65,393

100

Rewrite in scientific notation:

998.653

9.98653 x 102

100

Simply using rules of exponents: 

4^8*4^3

4^11

100

Write the results in scientific notation:

(7.7"x"10^-4)/(1.1"x"01^-1)

7 x 10-3

100

Shoes: Americans buy more than 850,000,000 pairs of shoes each year. This is that value written in correct scientific notation.

What is 8.5 x 108 pairs of shoes?

200

Rewrite the following in standard form:

2.5 x 10-2

0.025

200

Rewrite the following in scientific notation:

7,960,000,000

7.96 x 109

200

Simply using rules of exponents:

(8^2)^10

820

200

Write the results in scientific notation:

(2.1"x"10^3)^2

4.41 x 106

200

Red Blood Cells: This is the thickness of a red blood cell, which is approximately 0.0003125 inches, written in scientific notation

What is 3.125 x 10-4?

300

Rewrite the following in standard form:

7.2658746 x 108 

726,587,460

300

Rewrite the following in scientific notation:

0.007485

7.485 x 10-3

300

Simply using rules of exponents:

(7^3*7^11)/(7^21

1/7^7

300

Write the result in scientific notation:

(5"x"10^-3)*(3"x"10^6)


1.5 x 104

300

Two women are working together on a project. The first woman earns 3 x 10dollars and the second one earns 3 x 104 dollars for the project. How much more money does the first woman earn?

10 times more

400

Rewrite the following in standard form:

4.5334 x 10-5

0.000045334

400

Rewrite the following in scientific notation:

64.3

6.43 x 101

400

Simply using rules of exponents:

(9x)^0y^-5

1/y^5

400

Write the results in scientific notation:

(5 "x" 10^-2)/(8"x" 10^-6)

6.25 x 103

400

Your classmate is writing a report about Alpha Centauri, the star closest to the Sun. She learns that it is 4.37 light years away from the Sun and that a light year is about 5.9×1012 miles. This is the distance from the Sun to Alpha Centauri in miles.

What is 2.5783 x 1013 miles?


500

Rewrite the following in standard form:

9.1187 x 100

9.1187


500

Rewrite the following in scientific notation:

45.668

4.5668 x 101

500

Simply using rules of exponents:

(7xy^3)^2*6x^4y

49x^2y^6*6x^4y

=

294x^6y^7

500

Write the result in scientific notation:

(4"x"10^-4)^-1

2.5 x 103

500

Population: California has an area of 1.56 x 10square miles. California has a population of about 2.98 x 107 people. How many people are there per square mile?

(2.98"x"10^7"people")/(1.56"x"10^5"sq. mile")=1.91"x"10^2 "people per square mile"

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