Exponents and Scientific Notation

Integer Exponets

100

what is 10^2?

100

200

What is 6^-2?

1/36

300

What is 89^0?

1

400

What is 7^8 * 7^5? (Use the Properties of Integer Exponents).

7^13

500

What is 6^9 * 6^0 * 6^-10?

1/6

Scientific/Standard Notation

100

Is 3.5 * 10^6 Scientific or Standard Notation?

Scientific Notation

200

What is 9 * 10^10 in Standard Notation?

9,000,000,000

300

Discovery Bay recycled 7.6 * 10^6 cans this year, while Brentwood recycled 7.355 *10^7, how many cans did Discovery Bay and Brentwood recycle all together?

Together, Discovery Bay and Brentwood recycled 149,550,000 cans.

400

George spent 5.4 * 10^5 seconds doing his homework, while Laura spent 54,000 seconds, who spent more time on their homework?

George spent more time on homework.

500

Platelets are one component of human blood.A typical platelets has a diameter of approximately 2.33 * 10^-6 meter.write 2,33 * 10^-6 in standard notation.

What is 0.00000233

Operations with Scientific Notation

100

the table below shows the population of the three largest countries in north America in 2011. Find the total population of these countries. United states =3.1 * 10^8 Canada=3.38 * 10^7 Mexico=1.1*10^8

United states=310,000,000 Canada=33,800,000 Mexico=110,000,000

200

When the sun makes an orbit around the center of the milky way,it travels 2.025 * 10^14 kilometers. The orbit takes 225 million years. At what rate does the sun travel?Write your answer in scientific notation.

9.0 * 10^5

300

Write the number using calculator notation 2.7 * 10^13

2.7E13

400

Write the number using calculator notation 9.4 * 10^26

9.4E26

500

Write the number using scientific notation 5.2E-1

5.2 * 10^-1

Positive Exponents

100

6^3

216

200

9^3

243

300

10^4

10,000

400

24^4

331,776

500

25^4

390,625

Negative Exponents

100

What is 6^-2?

1/36

200

What is 4^-5?

1/1024

300

What is 11^-3?

1/1331

400

What is 8^-1?

1/8

500

What is 2^-5?

1/32