Presentation Transcript
Significant Figures Left of the decimaland adding exponents :Significant Figures Left of the decimaland adding exponents
8,000,000,000 :8,000,000,000 This number only carries one significant figure.
There is only one counting number left of the decimal
All the zeros past the counting number are not counted as significant figures.
8,001,000,000 :8,001,000,000 This number has 4 significant figures.
Zeros in between counting numbers are counted as significant figures.
Zeros after the last counting numbers are not counted.
08,000,000,000 :08,000,000,000 How many significant figures are there in this number
Remember only zeros in between counting numbers are significant figures when they are left of the decimal.
08,000,000,000 :08,000,000,000 There is only 1 significant figure.
Only count the counting number or zeros between a set of counting numbers.
Adding expotentials :Adding expotentials Must have same exponents
If not must get exponents to the same
(3.564x10first)+(6.1579x10third) :(3.564x10first)+(6.1579x10third) Must make 10 to the first match 10 to the third
This is done by moving the decimal place two times to the left.
Every decimal spot moved to the left adds 1 to the exponent.
Every decimal place moved to the right subtracts or adds a negative 1 to the exponent.
(.03564x10third)+(6.1579x10third) :(.03564x10third)+(6.1579x10third) The new number is .03564x10third.
Now the two numbers can be added.
6.19354 is the sum of the 2 numbers.
Now we have to round to 4 significant figures because that is the amount in the first number.
6.194
6.194x10third :6.194x10third This is the final answer.
The 10third is put back on the equation at the end.