Table of contents | |
What is Simplification? | |
BODMAS Rule | |
Common Mistakes to Avoid | |
BODMAS Examples |
Today, we’re diving into our math toolbox to discover simplification. Just like builders need the right tools to build a strong structure, Simplification helps us break down complex problems into manageable pieces. Let’s learn how to combine like terms and follow the order of operations to construct solid solutions. Ready to build your math skills? Let’s get started!
To ensure we get the correct answer of the questions, we follow the BODMAS rule to decide which operation to do first.
Order of priority
- Solve Brackets first (if any).
- Then perform Division and Multiplication from left to right.
- Finally, do Addition and Subtraction from left to right
For the 'Bracket Off' part, we have basically three types of brackets which are used in this chapter.
These brackets are mentioned as per the priority of solving the bracket
Priority 1: Round Brackets ( )
Priority 2: Curly Brackets { }
Priority 3: Square Brackets [ ]
If the problem contains more than one type of bracket, solve the innermost bracket first and move outward.
Let us understand this using BODMAS examples.
Sol: According to the BODMAS rule,
- Division comes before addition.
- First:
- Now the expression becomes:
- =7.
Example 2: Simplify the expression 15 + (30 ÷ 2)
Ans: 30
Sol: Let us solve 15 + (30 ÷ 2) step by step using BODMAS Rule.
- Step 1: We need to solve the brackets first.
- So, 15 + (30 ÷ 2) = 15 + 15
- Step 2: This will result in 15 + 15 = 30
Example 3: Simplify [2+{4×(6−2)}]÷2
Ans: 9
Sol: Step by Step solution of the same is given below
- Start with the innermost bracket: 6−2=4.
- Now next bracket : 4×4=16.
- Now the expression becomes:[2+16]÷2.
- Add: 2+16=18.
- Finally:18÷2=9.
Example 4: Simplify [30−(10−5×2)]÷5.
Ans: 6
Sol: Step by step solution of the same is given below
- Solve the multiplication inside the bracket first:
- Now the bracket becomes:
- Substitute back:
- Now simplify:
58 videos|122 docs|40 tests
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1. What is simplification in mathematics? |
2. What does BODMAS stand for? |
3. How can I remember the BODMAS rule easily? |
4. What are some common mistakes to avoid while simplifying expressions? |
5. Why is simplification important in mathematics? |
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