1. Solving Multiplication and
Division Equations

2. Procedure
• Isolate the variable by performing the
inverse operation on the number that is
attached to the variable.
• The inverse of multiplication is division. The
inverse of division is multiplication.
• Use the “Golden Rule.” Perform the same
operation on the other side of the equal
sign.

3. Example
The inverse of
division is
multiplication.
Repeat the
operation on the
other side.
m
=
10
3
m
·3
=3
10
·
3
m =
30

4. Check. Use the original
equation.
m
=
10
3
30 =
10
3
30
30 =

5. The inverse of
multiplying is
dividing.
Example 2
105b = 7
105b
105
=
7
105
7
b=
105

6. Check
105b = 7
 7 

105 =
7
 105 
7 = 7

7. Check
105b = 7
 7 

105 =
7
 105 
7 = 7