Scientific Notation
To write numbers in scientific notation N = u . d d d
Ã— 10^{P} with only the unitsdigit to the left of
the decimal and all others following it â€“ and the power P is the position power for the number N.
Multiply and Divide with Scientific Notation and express the result in scientific notation:
Example 1:
a) (1.23 Ã— 10^{3} ) Ã— (2.32 Ã— 10 ^{4} )

= (1.23 Ã— 2.35 ) Ã— (10^{3} Ã— 10^{ 4} ) 
Commutative property 

= 2.8905 Ã— 10^{ 7} 
Multiply coefficients and add exponents 
b)


Write as separate fractions. 


Divide coefficients and subtract exponents. 
c)


Write as separate fractions. 


Divide coefficients and subtract exponents. 


Round answer to 3 decimals. 
d) (4.53 Ã— 10^{9} ) Ã— (7.32 Ã— 10 ^{â€“ 4 })

= (4.53 Ã— 7.32) Ã— (109 Ã— 10^{ â€“ 4}) 
Apply commutative property. 

= 33.1596 Ã— 10^{5} 
Multiply coefficients and add exponents 

= (3.31596 Ã— 10^{1}) Ã— 10^{5} 
Rewrite first term in scientific notation 

= 3.31596 Ã— (10^{1} Ã— 10^{5}) 
Regroup powers. 

= 3.31596 Ã— 10^{6} 
Add exponents for scientific notation. 
