how does multiplication and division undo each other
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Operations that undo each other include: addition and subtraction multiplication and division powers and roots
Inverse Operations: Divison undoes multiplication. Addition undoes subtraction. Subtraction undoes addition. Multiplication undoes division.
Inverse operations, or opposite operations, undo one another. Subtraction undoes addition (and vice versa), and division undoes multiplication (and vice versa).
If defined, they are inverse operations. However, multiplication and division is a somewhat flawed example because division by 0 is not defined. So, if you have a number x, then x*0 = 0 but 0/0 is not x: it is not defined.
Multiplication of your result by the number that you just divided by.