Chem-Phys1 Flashcards
(703 cards)
Scientific Notation
method of writing numbers that takes advantage of powers of 10: significand and exponent
Significand
absolute value in the rang 1-10, cant be 0
Converting #s to Scientific Notation
move the decimal point until the signficand is bigger than or equal to 1 and less than 10
What is 34,600, 0.0003201, 1.10 and 525,600 in scientific notation?
34,600, 3201, 1.10, 525,6
When rounding two numbers containing decimals, in which direction should each number for multiplication go?
adjust the two decimal points in opposite directions: as one moves up, move the other down
When rounding two numbers containing decimals, in which direction should each number for division go?
adjust the two decimal points in the same direction
Scientific Notation Tips
- Count all numbers between the first nonzero digit on the left and the last nonzero digit on the right
- any 0s to the left of the first nonzero is consider NS
- 3,490 has 3 sig, 3,490.4 has 4- watch for decimal places
Rounding of Sig Figs
round to the number of sig figs that is the same as the least number of sig digits in any of the factors given
X^0 =
1
X^A x X ^B =
X^(A +B)
X^A/ X^B =
X^(A-B)
(X^A)^B =
X^ (A x B)
(X/Y)^A =
X^A/ Y^A
X^-A
1/X^A
X^(A/B)
square root with B on the outside of X^A
Perfect Squares Example: square root of 180 =
square root of 4 x square root of 9 x square root of 5 = 2 x 3 x square root of 5 = 6 square root 5
square root of 2
1.414
square root of 3
1.732
LogA 1=
0
LogA A=
1
Log A x B =
Log A + Log B
Log A ^ B
BLogA
Log (A/B)
Log A - Log B
Log (1/A)
-log A