Q: What is different between multiplication and division of vector by a number?

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the whole reason is this: multiplication is adding to that number in groups and division is subtracting from a number in groups.

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).

Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

Multiplication of your result by the number that you just divided by.

It is a division word. The quotient is the result you get when you divide a number (dividend) by another number (divisor).

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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.

Division by a number is the inverse operation to multiplication by the number (and vice versa).

the whole reason is this: multiplication is adding to that number in groups and division is subtracting from a number in groups.

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).

Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

Division by a fraction is the same as multiplication by its reciprocal. The reciprocal of a number x is 1 over x. So the reciprocal of 2/5, for example, is 5/2.

multiplication-addition-subtraction-division

You are working with numbers. One is a whole number and the other is a fraction of a whole number (with a decimal point, etc). You apply the same principles of subtracting one number from another or a fraction of one number from a fraction of another. Numbers is numbers!

multiplication-addition-subtraction-division

Divisibility is what a number can be divided by.

Multiplication of your result by the number that you just divided by.

The rules for division are exactly the same as the rules for multiplication. * Division (or multiplication) of a positive number by a positive number = positive * Division of a positive number by a negative number = negative * Division of a negative number by a positive number = negative * Division of a negative number by a negative number = positive If you have trouble remembering any of these, just try out a sample division on any calculator - for instance, if you divide (-1) / (-1) you get +1.