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Mastering Scientific Notation: Adding and Converting Numbers

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A scientist measures the mass of a small asteroid as 4.5 x 10^12 kg and another asteroid as 3.2 x 10^12 kg. What is the total mass of both asteroids in scientific notation?

a)

5.7 x 10^12 kg

b)

7.7 x 10^12 kg

c)

8.2 x 10^12 kg

d)

6.5 x 10^12 kg

2.

A bacteria culture grows to 1.2 x 10^6 cells in one hour and 2.5 x 10^6 cells in the next hour. How many cells are there in total after two hours in scientific notation?

a)

2.0 x 10^6

b)

1.5 x 10^6

c)

4.5 x 10^6

d)

3.7 x 10^6

3.

A comet is traveling at a speed of 2.3 x 10^4 km/h. If it travels for 5 hours, how far does it go in scientific notation?

a)

1.30 x 10^5 km

b)

1.20 x 10^5 km

c)

1.15 x 10^5 km

d)

1.00 x 10^5 km

4.

A researcher finds that a certain chemical is present in 6.7 x 10^3 mg in one sample and 2.1 x 10^3 mg in another. How much chemical is present in total in scientific notation?

a)

9.0 x 10^3 mg

b)

8.8 x 10^3 mg

c)

7.8 x 10^3 mg

d)

5.5 x 10^3 mg

5.

An astronomer observes a star that is 3.0 x 10^20 km away. If another star is 1.5 x 10^20 km closer, how far is the second star from Earth in scientific notation?

a)

2.5 x 10^20 km

b)

3.0 x 10^20 km

c)

1.0 x 10^20 km

d)

1.5 x 10^20 km

6.

A computer processes 1.5 x 10^9 calculations per second. If it runs for 2 seconds, how many calculations does it perform in total in scientific notation?

a)

3.0 x 10^9

b)

3.0 x 10^8

c)

1.5 x 10^9

d)

6.0 x 10^9

7.

A factory produces 4.5 x 10^5 widgets in one day and 3.2 x 10^5 widgets the next day. How many widgets are produced over the two days in scientific notation?

a)

6.5 x 10^5

b)

7.7 x 10^5

c)

7.0 x 10^5

d)

8.0 x 10^5

8.

A satellite orbits Earth at an altitude of 3.6 x 10^7 meters. If it descends by 1.2 x 10^7 meters, what is its new altitude in scientific notation?

a)

1.2 x 10^7 meters

b)

2.4 x 10^7 meters

c)

3.6 x 10^7 meters

d)

4.8 x 10^7 meters

9.

A library has 2.5 x 10^4 books and receives a donation of 1.3 x 10^4 books. How many books does the library have now in scientific notation?

a)

3.8 x 10^4

b)

4.0 x 10^4

c)

3.0 x 10^4

d)

2.2 x 10^4

10.

A car travels 1.8 x 10^3 km in the first leg of a journey and 2.4 x 10^3 km in the second leg. What is the total distance traveled in scientific notation?

a)

4.0 x 10^3 km

b)

5.2 x 10^3 km

c)

3.6 x 10^3 km

d)

4.2 x 10^3 km