Scientific+Notation+StudyGuide
Scientific Notation Study Guide
Name: __________________ Period:__________
Answer each question before the end of the class period, use
this paper as a study guide for tomorrow’s Quest.

1.) Describe in your own words why we use scientific notation?

______________________________________________________
______________________________________________________
______________________________________________________

2.) If you were to change a number in Scientific Notation, which
number would indicate the number of places you will move the
decimal? The Multiplier OR The Exponent

3.) Fill in the Blank: If a number has a ____________ exponent,
move it to the right to change it into standard form. If the
number has a negative exponent, move it to the __________ to
change it into standard form.

Solve: Change each number into Scientific Notation

4.) 360,000 5.) .0008512

___________________ _____________________

Solve: Write each number in Standard Form

6.) 7.395 x 102 7.) 1.25 x 105

______________________ _____________________

8.) Fill in the Blank: When adding or subtracting numbers in scientific
notation, first choose the number with the _______________
exponent. Next, convert each number to have the same
exponent by moving the decimal to the ____________.

36 8.512N04
739.50 125
They use it because they have to reduce it because they will get a answer
like this:2.4e80 they use it so u don’t have a e in there
Decimal
Right
Left
Scientific Notation Study Guide
Name: __________________ Period:__________
Solve each addition and subtraction problem. Show your Work.
Write the final answer in Scientific Notation.

9.) (6 x 106) (5 x 105)

10.) (2 x 105) + (8 x 104) + (8.28 x 105)

11.) (3.62 x 102) + (7.8 x 105)

12.) Fill in the Blank: When Multiplying numbers in scientific
notation, first use the _______________ Rule of Exponents. Next,
add your exponents and _____________ your multipliers. If needed,
change your number into scientific notation.

13.) When Dividing numbers in scientific notation, first use the
Quotient Rule of Exponents. Next, _________ your exponents and
______________ your multipliers. If needed, change your answer
into scientific notation.

14.) Circle the correct choice: When changing numbers into scientific
notation, move the decimal to the right and then (add/subtract) the
number of places you moved the decimal, to the exponent.

Efg1 I
11080000
0.0302280
O
Exponent
Add
Add
Subtract
Scientific Notation Study Guide
Name: __________________ Period:__________
15.) When changing numbers into scientific notation, if moving the
decimal to the (left/right), subtract the number of places you moved
the decimal, to the exponent.

Solve: Show your work and be sure to write your final answer in
Scientific Notation.

16.) (7.1 x 105)(6.7 x 106)

17.) (1.6 x 106)
(4 𝑥 106)

18.) Be prepared to solve at least one word problem:

When the Sun makes an orbit around the center of the Milky Way, it
travels 2.025 x 1014 kilometers. The orbit takes 225 million years.
At what rate does the Sun travel? Write your answer in scientific
notation. (Hint: use formula Rate = distance / time)

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