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Usually, the uniform groups concept is made through word problems where students will also understand problem-solving skills. These problems have several such, even groups, and your work is to find out the missing number. Let us understand this concept of equal groups math with the help of an example in detail.

Suppose you have 21 balls, and you need to put them inside 3 bags so that each bag has an equal amount. How will you solve this problem?

The problem is of division among three bags. Each bag will get 7 balls with the solution as 21 ÷ 3 = 7.

In the above diagram, you can see 3 bags get 7 balls in each.

When the concept of uniform groups comes into maths, your problem becomes quite easy and simpler. It is because you are given total items and groups. Your only work is to distribute. The problems can be either solved through division or multiplication. These two basic operations are used because both division and multiplication deal with this concept of equal division.

When we divide, the name clearly defines that we will separate total items into equal parts from identical groups. Each group will be having the same number of items. But how will you bring uniformity in the groups? The concept is based upon our visualisation.

Suppose we have a term 6 ÷ 2 = 3. It means there are a total of 6 items, and we need to make 2 groups having the same number of items. Here the result is 3. There will be two groups having three items.

In the above diagram, we have created two groups with three parallelograms in each of them.

Suppose now the question is 6 ÷ 3. Here, we have 6 items, and we need to divide these items into three groups as in the below diagram.

We get,

In the above diagram, there are three groups, each having 2 parallelograms in them.

The name clearly says equal groups meaning. But in the case of equal groups multiplication, we will be given groups and items in each of them. Our task is to find the total number of items added.

Consider the below example:

We have 4 even groups with 3 items in each of them. How will you find the total number of items you have?

In multiplication. 4 x 3 will give your answer, as in the below diagram.

In the above picture, there are 4 groups with three parallelograms in each. Thus the total items will be 12, which is equal to 4 x 3.

Adding equal groups contains two different types of identical groups. One group has an even number of items, and the second one has an odd number of items. Let us study each of them in detail one by one.

Even items:

Suppose we have 4 groups with 2 capsules in each. We need to perform basic addition and find the total number of capsules we have, as in the below diagram.

In the above diagram, 4 groups have 2 capsules in each. Thus addition of all will be 2 + 2+ 2 + 2 = 8 capsules.

Odd Items:

Counting the total of the items in odd-even groups having odd items is as follows.

In the above diagram, there are three groups with 5 telephones in each. Thus the total telephones will be given by 5 + 5 + 5 = 15.

It is how we do counting equal groups and adding them to get a total number of items.

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