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Scientific Notation Mastery - Grade 12

A comprehensive worksheet for Grade 12 students to master scientific notation, including operations and real-world applications.

Grade 12 Math Number SenseScientific Notation
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.CCCSS.MATH.CONTENT.HSN.RN.A.2

Topics

Scientific NotationExponentsNumber SenseGrade 12Math
7 sections · Free to use · Printable
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Scientific Notation Mastery - Grade 12

Name:

Date:

Score:

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

1. Scientific notation is a way of writing numbers that are too   or too   to be conveniently written in decimal form.

2. A number in scientific notation is written as the product of two factors: a coefficient and a power of  .

3. The coefficient in scientific notation must be a number greater than or equal to 1 and less than  .

4. Which of the following is the correct scientific notation for 0.0000000000056?

a

5.6 x 10^12

b

5.6 x 10^-12

c

0.56 x 10^-11

d

56 x 10^-13

5. What is the standard form of 3.14 x 10^7?

a

314,000

b

3,140,000

c

31,400,000

d

314,000,000

6. Express the number 1,234,500,000,000 in scientific notation.

7. Express the number 0.00000000000000000000000167 (mass of a proton in grams) in scientific notation.

8. Calculate (2.5 x 10^4) * (3.0 x 10^5). Express your answer in scientific notation.

9. Calculate (8.4 x 10^9) / (2.0 x 10^3). Express your answer in scientific notation.

10. The number 15 x 10^3 is in correct scientific notation.

T

True

F

False

11. When multiplying numbers in scientific notation, you add the exponents.

T

True

F

False

12. The Earth is approximately 1.5 x 10^8 kilometers from the Sun. Light travels at a speed of approximately 3.0 x 10^5 kilometers per second. How long does it take for light from the Sun to reach the Earth? Express your answer in seconds using scientific notation.