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

Homework

Unit 3 · Lesson 1: Scientific Notation

Example # 1 Example # 2

Directions: Convert the given number into scientific notation.

1,500,00 0

Solution:

• Find the appropriate place for the decimal point,
  so that there is a digit in the ones place value.


• 1 5 0 0 0 0 0


• If there is no decimal point add one to the right of
  the ones place value in order not to change the
  value of the original number.


• 1 5 0 0 0 0 0.


• Your new number will be 1.5.


• The exponent is positive because the original
  number is larger than 1.5.


• Rewrite the expression in scientific notation.

Answer: 1.5 10×^6

0.02623

Solution:

• Find the appropriate place for the decimal point so that there
  is a digit in the ones place value.


• 
  
  
  
  0. 0 2 6 2 3
  
  
  
  


• Notice this time there is a decimal.


• 
  
  
  
  0. 0 2 6 2 3
  
  
  
  


• Your new number will be 2.623.


• The exponent is negative because the original number is
  smaller than 2.623.


• Rewrite the expression in scientific notation.

Answer: 2.623 10× −^2

Write the standard form: 2.623 × 102

Solution:

The exponent is positive, so move the decimal 2 places to the right.

Answer: 262.3

*Note the differences between #2 and #3 with the positive and negative exponents.