Algebra-Scientific Notation

Dot Dot Dot

100

Rewrite the following in standard form:

6.5393 x 10⁴

65,393

200

Rewrite the following in standard form:

2.5 x 10^-2

0.025

300

Rewrite the following in standard form:

7.2658746 x 10⁸ 

726,587,460

400

Rewrite the following in standard form:

4.5334 x 10^-5

0.000045334

500

Rewrite the following in standard form:

9.1187 x 10⁰

9.1187

More Sciencey

100

Rewrite in scientific notation:

998.653

9.98653 x 10²

200

Rewrite the following in scientific notation:

7,960,000,000

7.96 x 10⁹

300

Rewrite the following in scientific notation:

0.007485

7.485 x 10^-3

400

Rewrite the following in scientific notation:

64.3

6.43 x 10¹

500

Rewrite the following in scientific notation:

45.668

4.5668 x 10¹

Review

100

Simply using rules of exponents: 

4^8*4^3

4^11

200

Simply using rules of exponents:

(8^2)^10

8²⁰

300

Simply using rules of exponents:

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

1/7^7

400

Simply using rules of exponents:

(9x)^0y^-5

1/y^5

500

Simply using rules of exponents:

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

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

=

294x^6y^7

NO CALCULATOR

100

Write the results in scientific notation:

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

7 x 10^-3

200

Write the results in scientific notation:

(2.1"x"10^3)^2

4.41 x 10⁶

300

Write the result in scientific notation:

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

1.5 x 10⁴

400

Write the results in scientific notation:

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

6.25 x 10³

500

Write the result in scientific notation:

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

2.5 x 10³

Gettin' Wordy

100

Shoes: Americans buy more than 850,000,000 pairs of shoes each year. 

8.5 x 10⁸ pairs of shoes

200

Neptune to Sun: The mean distance of Neptune to the sun is 2,796,460,000 miles. 

2.79646 x 10⁹ miles

300

Red Blood Cells: The thickness of a red blood cell is approximatley 0.0003125 inches

3.125 x 10^-4 inches

400

Blinking: Consider a person who blinks about 20,000 times a day and who lives to be 76 years old. Estimate the number of times the person blinks during their lifetime. Do not acknowledge leap years. Write you answers in standard form and scientific notation.

(76"years")*((365"days")/(1"year"))*((20,000"blinks")/(1"day"))=554,800,000 "Blinks" 

or 5.48 x 10⁸

500

Population: California has an area of 1.56 x 10⁵ square 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"