The hidden mystery behind types of brackets in mathematics Revealed!

The hidden mystery behind types of brackets in mathematics Revealed!

Brackets are the most used symbols in mathematics that we all have used in our schools and colleges. There are different types of brackets in mathematics that you have used but do you have any idea about their roles? Do you know why we use brackets and what their meanings are? We always talk about class X and higher secondary students, but this time, we come up with the topic that helps students who are below class 6 grades. In this article, we will share the hidden mystery behind brackets and their types with you. 

Why we use brackets in mathematics?

When it comes to mathematics, then you have gone through multiple symbols. Mathematics is all amount numbers, diagrams, symbols, and charts. The brackets are mostly used to clarify things or mathematical operations. It clarifies the order in which we have to solve the specific mathematical operations. Mostly three types of brackets in mathematics that are used in math are brackets, parentheses, and braces. Some of the brackets have multiple uses. The brackets always come in pairs. These are mostly used in algebra, and that’s why it is necessary to understand the uses of brackets in your schooling days. 

The different kind of Brackets & their roles:

1. Square brackets: The square brackets are mostly used inside parentheses to clarify that something is subordinate. 

2. Curly brackets: These brackets are also known as the braces, squiggly brackets. These types of brackets signify the lists.  

3. Angle brackets: The angle brackets are mostly used in complex mathematics problems and computer science & programming. This is also signified as the symbol of a question mark for some time. 

4. Parentheses: Parentheses are mostly there in the equation to signify the pair that means put beside and also popular as round braces. 

Let’s check an example:

Suppose you have to solve an expression like 5+4*5-2. Only one correct answer is there to this question. So, in which way you are deciding to solve this. When you solve the question from left to right or right to left, then you will get a different answer for both. When you solve this question according to the BODMAS rule, then first you perform the multiplication, and your answer will be 5+20-2=23, which is totally different from the above ways. So, how can you solve this, and what is the right method?

So, in this case, you need to clarify the expression by adding braces in brackets. When we add brackets to this question looks like (5+4)*(5-2) = 20*3= 60. So, in this example, the brackets help you to understand the right order to solve an expression. 

Some more examples of different brackets: 

  • Examples for Using Parentheses ( ):

Parentheses signify a group numbers and variables. When there is a mathematical expression comes that holds parenthesis; then you should solve them by following the order of operation. For example: 10 – 5 ÷ (8 – 3) x 7 +5  

So, to solve this question, you should solve the numbers that are inside the parenthesis and then follows the below ways:

Example: 15 – 5 ÷ (8 – 3) x 7 +5

After, 15 – 5 ÷ 5 x 7 + 5

When we solve this further then it will be: 15 – 1 x 7 + 5

Then, 15 – 7 + 5 : 8+ 5

Now the answer will be: 13

  • Examples of Brackets [ ]:

The brackets are there in a equation after the parenthesis is used. So, a mathematical expression has the parentheses first and then brackets followed by braces. Here we take an example of how to solve this type of problem. 

 6 – 3[8 – 2(6 – 3)] ÷ 3

so, 6 – 3[8 – 2(3)] ÷ 3 

Therefore, 6 – 3[8 – 6] ÷ 3 = 6 – 3[2] ÷ 3 = 6 -6 ÷ 3

that is equal to: 6 – 2 = 4

  • Examples of Braces { }:

It signifies a variable or group numbers. When you have a mathematical equation that holds parentheses inside brackets, then always solve from the inside out. Here check an example. 

2{1 + [8(2 + 1) + 3]}

It will be 2{1 + [8(3) + 3]}

Further, 2{1 + [24 + 3]}

Solving this, 2{2 + [27]} that will further simplifies into: 2{29}

So, the answer will be 58

Along with that, there are many cases where you have an equation that contains multiple brackets simultaneously. These questions are mostly asked in the exams to confuse the students. 

Conclusion:

If you are the mother of class 5 or class 4 grade students and your kid is a little bit low in the number system and algebra, then this article helps them. You can give them more questions like this to solve them in free time. Math is fun when you solve equations in a funny and entertaining way. So, join your kid the online mathematical courses like MathsGenii, where they get a better understanding on types of brackets in mathematics things. In the next blog, we bring some major topics of mathematics that you should focus on. Till then, solve the equation from CBSE NCERT books & if you have any doubt, then comment below!  

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The hidden mystery behind types of brackets in mathematics Revealed!
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The hidden mystery behind types of brackets in mathematics Revealed!
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