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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 3 Lesson 1 C TE

Homework

Unit 3 · Lesson 1: Scientific Notation

Objective: I will convert numbers from standard form to scientific notation.

Vocabulary Steps

Scientific Notation: a method to write very large

numbers or very small numbers as the product of

a number between 1 and 10 and a power of 10

Power of Ten: ten multiplied by itself the

number of times indicated by the exponent

To figure out power of 10, think “How many places

does the decimal point move?”

If number is 10 or greater,

move to the left = positive power

If number is smaller than 1,

move to the right= negative power

Standard to Scientific Notation

Ask yourself these questions:

1. Is the number a big or small number?


2. Will the exponent be positive or negative?
   
   
   • Big number = positive power
   
   
   • Small number = negative power
   
   
   
   


3. Locate or place the decimal point.


4. Count the number of places the decimal will
   move to create a number in the ones place.
   This will be the power of ten.


5. Write an expression using scientific notation.

Scientific Notation to Standard Form:

1. If the exponent is positive, move to the right
   (multiplication).


2. If the exponent is negative, move to the left
   (division).


3. Make additional zeros for place value needed.

Name: ___

Date: ___