Scientific Notation Mastery

This worksheet focuses on converting numbers to and from scientific notation, performing calculations, and understanding its applications for Grade 11 students.

Grade 11 Math Number SenseScientific Notation

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Includes

2 Fill in the BlanksShort AnswerMultiple ChoiceLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

mathgrade 11scientific notationnumber sensealgebra

7 sections · Free to use · Printable

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Scientific Notation Mastery

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Read each question carefully and provide your answer in the space provided. Show all your work for calculations.

Convert the following numbers into scientific notation:

1. 34,500,000,000

2. 0.00000000078

3. 1,230,000

4. 0.0000056

Convert the following numbers from scientific notation into standard form:

1. 6.7 x 10^9

2. 2.15 x 10^-7

3. 9.003 x 10^4

4. 8.1 x 10^-2

Perform the following calculations and express your answer in scientific notation:

1. (3.0 x 10^5) * (2.0 x 10^3)

2. (8.0 x 10^7) / (2.0 x 10^2)

3. (4.5 x 10^-3) + (1.2 x 10^-3)

4. (7.2 x 10^6) - (3.1 x 10^5)

1. Which of the following is equivalent to 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 meters (the approximate size of a proton)?

1 x 10^-15 m

1 x 10^-18 m

1 x 10^-10 m

1 x 10^-12 m

2. The speed of light is approximately 3 x 10^8 meters per second. How far does light travel in 500 seconds?

1.5 x 10^10 m

1.5 x 10^11 m

1.5 x 10^12 m

1.5 x 10^13 m

The mass of Earth is approximately 5.972 × 10^24 kg. The mass of the Moon is approximately 7.342 × 10^22 kg. How many times larger is the mass of Earth than the mass of the Moon? Express your answer in standard form and scientific notation. Show all your work.