"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction." Therefore multiplication and division are equal.
Multiplication
Because you need to use inverse operations and the opposite of multiplication is division.
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
It indicates Division
Division by a number is the inverse operation to multiplication by the number (and vice versa).
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A set of related addition-subtraction or multiplication-division sentences is a fact family.
Multiplication and division are related because they are the inverse of each other. 9 x 4 = 36 36/4 = 9
the whole reason is this: multiplication is adding to that number in groups and division is subtracting from a number in groups.
They just undo each other.
Related facts
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Division is the inverse operation to multiplication. Division by a number (other than zero) is the same as multiplication by its reciprocal.
"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction." Therefore multiplication and division are equal.
Division is the inverse operation of multiplication. If a x b = c, then c / b = a. Also, division by a number can be defined as the multiplication by the number's reciprocal. Thus, a / b is the same as a x (1/b).
They are not the same: they are similar. Division is the inverse operation. Division by x (where x is non-zero) is the same as multiplication by (1/x). So the operations are related but that does not make them the same.