There is an error in the student's work, the remainder should be 10
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 mixed fractions :
\(\displaystyle \frac{7}{3} =2\frac{1}{3}\)
Mixed fractions consist of whole number and proper fractions
From the task
(see also the attached image)
When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11.
Division operation statement:
"878 divided by 31 equals 28 remainder 11
Arithmetic operations :
878 : 31 = 28 + 11
- 878 = dividend
- 31 = divisor
- 28 = quotient
- 11 = remainder
Because Division is the opposite of multiplying
, so we check the solution with multiplying
divident - (divisor x quotient) = remainder
878 - (31 x 28) = 11
878 - 868 = 11
10 ≠ 11
So students make mistakes in subtraction operations,remainder should be 10
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Keywords: division, mixed fraction, dividend , divisor , quotient, remainder
