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Adding Or Subtracting Numbers In Scientific Notation

 

 

To add or subtract two numbers in scientific notation:

Step 1: Adjust the powers of 10 in the 2 numbers so that they have the same index. (Tip: It is easier to adjust the smaller index to equal the larger index).

Step 2 : Add or subtract the numbers.

Step 3 : Give the answer in scientific notation.

 

 

Example :

Evaluate 2 × 103 + 3.6 × 104, giving your answer in scientific notation.

Solution:

Text Box: 2 × 103 + 3.6 × 104	  = 0.2  ×  104 + 3.6 × 104	(change to the same indices)  = (0.2 + 3.6)  ×  104		(add the numbers)  = 3.8  ×  104			(answer in scientific notation)

 

Example :

Evaluate 7 × 105 – 5.2 × 104, giving your answer in scientific notation.

Solution:

Text Box: 7 × 105 – 5.2 × 104	  = 70  ×  104 – 5.2 × 104	(change to the same indices)  = (70 – 5.2)  ×  104		(subtract the numbers)  =  64.8  ×  104	  =  6.48  × 105		   	(answer in scientific notation)

 

 

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Useful Links:
MathWorld - Scientific Notation
 
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