Operations with Scientific Notation
Math 8
Maintaining Equality in Numbers
multiplying or dividing by 1 maintains the value of the number
Maintaining Equality in Numbers − Scientific Notation
multiplying or dividing by 1 maintains the value of the number
IF this part gets smaller
by moving the decimal
THEN the exponent
must get larger
multiplied
3 by 10
divided by 10
still equal
divided
5 by 10
multiplied by 10
still equal
Change these numbers into proper Scientific Notation
divided by 10
multiplied by 10
the value of the number was always maintained
Addition & Subtraction
these operations can only be performed when you have compatible sized pieces
can not compute until
decimal points are lined up
can not compute until converted
to have a common denominator
two hundredths
six tenths
What purpose do the zeros accomplish in these problems?
they are holding place value so you can operate with compatible sized pieces
Addition & Subtraction − Scientific Notation
can not compute until
same sized pieces
Addition & Subtraction − Scientific Notation
can not compute until
same sized pieces
What is the total population of the states shown in the table?
State | Population (in 2022) |
California | |
Nevada | |
Utah | |
Multiplication & Division
common denominator not required
cross-simplify to make easier fractions
lining up decimal point not required
different rules than addition and subtraction
Simplifying and Re-grouping
Multiplication & Division − Scientific Notation
not proper scientific notation
Exponent Rules!!
Re-group with Commutative Property
Multiplication & Division − Scientific Notation
Exponent Rules!!
Multiplication & Division − Scientific Notation
Perform the operations, make sure answers are in proper Scientific Notation