Question

A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient with remainder 12. Explain what the quotient and remainder represent.

Answer 1

15.4285714 is the answer to 432 divided by 28. The answer is the amount of desserts in each row. The remainder represents a part of a dessert which is in each row. It is like this, because we need to spread the desserts evenly amongst the 28 rows.

Answer 2

The quotient (15) represent : the number of desserts in each row

The remainder (12) represent: the rest of the dessert which didn't fill the 29th row fully

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

• 7 = dividend
• 3 = divisor
• 2 = quotient
• 1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1

The form of division can also be expressed in terms of fractions

In the example above, the form of fraction obtained is the form of mixed fractions

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of whole number and proper fractions

The baker divides 432 by 28 , and gets a quotient with remainder 12

we translate this sentence into division operation, :

432 : 28 = 15 + 12

divident = 432

divisor = 28

quotient = 15

remainder = 12

It can be concluded from this division operation:

• 1. the total number of desserts = 432
• 2. the number of rows with 15 desserts per row is 28  rows
• 3. there are remaining rows that are not fully filled (row 29), only filled with 12 desserts

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Keywords: division, fraction, the baker, desserts