### Adding and Subtracting in Scientific Notation

```Adding and
Subtracting
By: Jenny Erickson
and
Subtracting in Scientific Notation
The important thing to remember about
adding or subtracting is that the
exponents must be the same!
 If the exponents are not the same then
it is necessary to change one of the
numbers so that both numbers have the
same exponential value.

The general format for adding is as
follows…
 (N x 10x) + (M x 10x) = (N + M) x 10x
 The first step, if necessary, is to change
one of the numbers so that both
numbers have the same exponential
value.

Secondly, add the N and M numbers
together and express as an answer.
 The final step is to multiply the result by
the 10x.
 (It may be necessary to put the resulting

(3.45 x 103) + (6.11 x 103)
 3.45 + 6.11 = 9.56

 9.56
x 103
Exponents
(4.12 x 106) + (3.94 x 104)
 (412 x 104) + (3.94 x 104)
 412 + 3.94 = 415.94
 415.94 x 104


Express in proper form: 4.15
x 106

numbers in scientific notation.

Subtracting…
The general form for subtracting is as
follows…
 (N x 10x) – (M x 10x) = (N – M) x 10x
 The first step, if necessary is to change
one of the numbers so that both
numbers have the same exponential

Subtracting…
Secondly, subtract the M number from
the N number and express as an
 The final step is to multiply the result by
the 10x.
 (It may be necessary to put the resulting

Subtracting With the Same
Exponent
(8.96 x 107) – (3.41 x 107)
 8.96 – 3.41 = 5.55

 5.55
x 107
Subtracting With Different
Exponents
(4.23 x 103) – (9.56 x 102)
 (42.3 x 102) – (9.56 x 102)
 42.3 – 9.56 = 32.74
 32.74 x 102


Express in proper form: 3.27 x 103

Use the link below to practice
subtracting numbers in scientific
notation.

Subtracting Numbers in Scientific
Notation
Quiz Time!!!

Below is a set of links for a quiz on