Question

Is it true that Dividend over Divisor = Quotient + Remainder?

Answer 1

Please see below.

Explanation:

We often ask students to express the result of a division as the quotient and the remainder. But the word "and" here does not mean "plus".

`14/3` has a quotient of `4` and remainder `2`.

The equality involving these words is

`"Dividend" = "Quotient" xx "Divisor" + "Remainder"`

`14 = 4 xx 3 + 2`

Answer 2

No,

Explanation:

It is not true that Dividend over Divisor is equal to Quotient plus Remainder. For example if `37` is divided by `8`, then quotient is `4` and remainder is `5`. Observe that `37` divided by `8` is not equal to `4` plus `5`.

What is true is that Dividend is equal to Divisor multiplied by Quotient plus Remaider and in example `37=8xx4+5`

However in terms of what is stated in question, one can say

Dividend over Divisor is equal to Quotient plus Remainder divided by Divisor i.e. `37/8=4+5/8`