Question

A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient of 15 with remainder of 12. Explain what the quotient and remainder represent

Answer 1

15 represents the number of rows created
12 represents the number of desserts left over without creating a full row

Answer 2

The quotient of 15 represent the number of desserts in each row

The remainder represent the rest of the dessert does not meet the 29th line (only 12 from 15)

Further explanation

The division operation is one of the basic arithmetic operations

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

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:

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

example:

7: 3 = 2 + 1

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

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

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

Mixed fractions consist of integers and ordinary fractions

mixed fractional form :

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

Mixed fractions can be expressed as ordinary fractions :

$\displaysyle {=\frac{7}{3} }$

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

When dividing 432 desserts into rows of 28, the baker finds a quotient of 15 with a remainder of 12

Division operation statement:

"432 divided by 28 equals 15 remainder 12"

The arithmetic operations :

432 : 28 = 15 + 12

It means :

1. there are 28 rows

2. each line has 15 desserts

3. there is leftover dessert on the 29th row that only has 12 desserts

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Keywords: division, fraction, the baker, desserts