SIGNIFICANT FIGURES AND ROUNDING OFF Flashcards
Refers to each of the digits
of a number that are used to
express it to the required
degree of accuracy
SIGNIFICANT FIGURES
used to determine how
precise a measurement is
SIGNIFICANT FIGURES
RULES FOR SIGNIFICANT FIGURES
- All non-zero numbers ARE significant.
- Zeros between two non-zero digits ARE significant.
- Leading zeros are NOT significant
- Trailing zeros to the right of the decimal ARE significant
- Trailing zeros in a whole number with the decimal shown ARE
significant. - For a number in scientific notation: N x 10x, all digits comprising N
ARE significant by the first 6 rules; “10” and “x” are NOT significant. - When adding or subtracting, retain as many decimal places in the
final result as the number with fewest decimal - When multiplying or dividing, retain only as many significant figures
as those in the number with the fewest significant number
is used to express very large or very
small numbers
SCIENTIFIC NOTATION
It consists of a number between 1 & 10 followed by x 10
to an exponent
SCIENTIFIC NOTATION
can be determined by the number of
decimal places you have to move to get only 1 number in
front of the decimal
EXPONENT
How to convert standard notation to scientific notation:
1. Move decimal point to the right of the
first non-zero digit.
Multiply the resulting number by the base 10 raised to an
EXPONENT
is the number places moved.
exponent
If the movement of the decimal point is from left to right, the
exponent should have a
negative charge
If the movement of the decimal point is from right to left, the
exponent should have a
positive charge
How to convert scientific notation to standard notation:
1. Move the decimal point to the right if the exponent is
POSITIVE
Move the decimal point to the left if the exponent is
NEGATIVE
The number of times to move the decimal point is based on the
number of the
EXPONENT
Add ____- for each place moved and remove the power of 10
ZEROES
