Division in the many basic form in Math, essentially method separating or splitting a larger group into a smaller sized group. Mathematically, separating larger numbers into smaller numbers. sometimes the bigger number though, cannot be separated equally into smaller numbers, and this is where department and remainders come in, i beg your pardon this page shows later on on.

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NOTE

You can divide a smaller sized number by a larger number also.

But in this basic department introduction, us just emphasis on splitting a bigger number by a smaller number because that now.

Dividing Numbers, division Symbol

The prize for division is &div. so 14 separated by 2, looks choose 14 &div 2. despite often, department sums can be written in the form:

\\frac412

Where the number on peak is the larger number gift divided, by the smaller number on the bottom.

The optimal number is referred to as the NUMERATOR. if the bottom number is dubbed the DENOMINATOR.

\\tt\\frac\\colorgreenNUMERATOR\\colordarkredDENOMINATOR Examples (1.1) 8 &div 4 = ?

The sum above is to divide  8 by  4. A good way come think around division, is come say the we have actually 8 boxes. separating by 4, method we want to break-up the 8 boxes right into separate smaller groups of 4 boxes. The answer to this department sum, is how countless groups that 4 have the right to the larger group of 8 be break-up into.


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As seen in the image, a group of 8 boxes, separated into smaller groups of 4 boxes, results in 2 groups of boxes.

therefore  8 divided by  4 is  2. 8 &div 4 = 2 (1.2) 6 &div 2 = ?

Again thinking in terms of a group of boxes. We want to separation up a group of 6, into smaller separate teams of 2.


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3
teams are made. 6 &div 2 = 3

Dividing totality NumbersDivision through 1

(2.1) 5 &div 1 = ?

Splitting a team of 5 into 1 group. This really method not splitting up the team of 5 at all.


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We currently had  1 team of 5. So splitting  1 group of 5 right into  1 group, simply leaves us through the same team that we currently had. A number split by  1, simply results in the exact same number.

5 &div 1 = 5 , 8 &div 1 = 8 , 6 &div 1 = 6 etc.

Dividing entirety Numbers,Division and Remainders

Sometimes, a division of a larger team into smaller sized groups, doesn't divide equally. This is whereby the concept of division and remainders comes in.

Examples
(3.1) 10 &div 3 = ?
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A team of 10 boxes does divide right into  3 different smaller teams of 3, however there is  1 box left end after division, 1 crate remaining. Thus: 10 &div 3 = 3 remainder 1.

This is frequently denoted together 3 r1.

(3.2) 8 &div 5 = ?
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8 &div 5 = 1 r3

Division entailing Zero

(4.1)

Firstly, the instance of dividing 0 by an additional number.

0 &div 4 = ?

If there room 0 boxes, over there is no team to division or split. So over there is tho no team at all after any division. an interpretation zero separated by a number, is just zero.

0 &div 1 = 0 , 0 &div 4 = 0 , 0 &div 5 = 0 etc. ------------------- (4.2)

Now, in the case of make the efforts to division a number by 0.

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5 &div 0 = ?

We can't really come up with response to how plenty of groups that 0 boxes can be make from a group of 5 boxes. So once a number is divided by 0, the answer is classed as \"undefined\".