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Scientific notation
Used in science for very small and very large numbers
Scientific notation rules
Start with the first single digit between 1 and 9 in the number
Place a decimal point to the right of it
After the decimal, write all other significant figures
Multiply the number by 10
Add an exponent to the 10 that is equal to the number of spots the decimal has moved
• Numbers greater than 1 need a positive exponent
• Numbers less than 1 need a negative exponent
Significant figures
All certain figures plus the first uncertain one
Rules for significant figures
Non-zero digits are always significant
Zeroes between two significant digits are significant
Any leading zeroes are not significant
If there is no decimal point, all the trailing zeroes are not significant
HINT
Convert the number to scientific notation and then count the number of digits