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Imagine your friend uses long division to determine the quotients, and is confused by how quickly you were able to determine the correct answer without performing long division. Explain how you were able to determine the quotients without performing long division.

Sagot :

There are several ways to divide numbers, one of them is by using long division.

The question is incomplete, so I will given a general explanation on how to perform long division.

Take for instance:

[tex]\mathbf{56 \div 9}[/tex]

First, divide 56 by 9; the result is 6 (ignore the remainder)

[tex]\mathbf{56 \div 9 = 6}[/tex]

Multiply 6 by 9

[tex]\mathbf{6 \times 9 = 54}[/tex]

Subtract 54 from 56

[tex]\mathbf{56 - 54 = 2}[/tex]

Next, divide 2 by 9; the result is 0 (ignore the remainder)

[tex]\mathbf{2 \div 9 = 0}[/tex]

A division that gives 0, means that: the dividend of the division is the remainder.

So, the result of [tex]\mathbf{56 \div 9}[/tex] is 6 with a remainder of 2.

i.e.

[tex]\mathbf{56 \div 9 = 6\ R 2}[/tex]

To know if the result is correct, we make use of the following formula:

[tex]\mathbf{Dividend = Quotient \times Divisor + Remainder}[/tex]

In this case:

[tex]\mathbf{Dividend = 56}[/tex]

[tex]\mathbf{Quotient = 6}[/tex]

[tex]\mathbf{Divisor = 9}[/tex]

[tex]\mathbf{Remainder = 2}[/tex]

So, we have:

[tex]\mathbf{Dividend = Quotient \times Divisor + Remainder}[/tex]

[tex]\mathbf{56 = 6 \times 9+ 2}[/tex]

[tex]\mathbf{56 = 54+ 2}[/tex]

[tex]\mathbf{56 = 56}[/tex]

Read more about long division at:

https://brainly.com/question/4869318