Elementary Mathematics: Module 1(2) - BODMAS

Summary

This video explains the BODMAS rule, which stands for Brackets, Orders (exponents), Division, Multiplication, Addition, and Subtraction. It covers the correct order of operations when solving mathematical problems, with examples to illustrate each step. The script emphasizes the importance of following the BODMAS sequence to get the right answer, demonstrating how to simplify equations with brackets, exponents, and basic operations. The video also introduces rules for handling signs during multiplication and provides practical tips for solving sums accurately.

Takeaways

• 😀 Brackets (B) are solved in a specific order: bar brackets first, followed by curve brackets, flower brackets, and square brackets last.
• 😀 O stands for order or exponents, but they aren't covered in the current syllabus, though it's important to remember their meaning.
• 😀 D represents division, which is denoted by the slash or division sign (/).
• 😀 M stands for multiplication, represented by 'x' or 'ASX' in mathematical operations.
• 😀 A stands for addition, denoted by the plus sign (+), and subtraction is denoted by the negative sign (-).
• 😀 When multiplying with the same signs (positive or negative), the result is positive. With opposite signs, the result is negative.
• 😀 The order of operations in BODMAS must be followed for correct results: brackets, exponents, division, multiplication, addition, and subtraction.
• 😀 When solving sums, ensure that operations like division and multiplication are done before addition and subtraction, even if no brackets are involved.
• 😀 When solving an expression with both addition and subtraction, treat subtraction as adding a negative number.
• 😀 In cases where no specific operations like brackets or exponents are present, start by performing division and multiplication before addition and subtraction.
• 😀 The process of simplifying expressions using BODMAS ensures accurate results, as shown through examples involving division, multiplication, addition, and subtraction.

Q & A

What does 'B' in 'BODMAS' stand for?

'B' stands for 'Brackets.' In BODMAS, it refers to the order in which brackets should be removed, starting with bar brackets, followed by curve brackets, curly brackets, and square brackets.

How do you handle exponents (O) in BODMAS?

In BODMAS, 'O' stands for order or exponents. However, exponents do not appear in the examples of the script, so they are not directly relevant in this case.

What does 'D' represent in the BODMAS rule?

'D' stands for division. Division is the fourth step in the BODMAS rule, and it is represented by the slash '/' or the division sign.

How is multiplication represented in the BODMAS rule?

'M' stands for multiplication, which can be represented by 'X' or the word 'of.' In BODMAS, multiplication is performed after division.

What does 'A' stand for in BODMAS?

'A' stands for addition, represented by the plus sign ('+'). Addition is performed after multiplication and division in BODMAS.

What does 'S' represent in BODMAS?

'S' stands for subtraction, represented by the minus sign ('-'). Subtraction is the last step in BODMAS after all the other operations are completed.

What is the significance of the rule 'minus into minus gives plus' in BODMAS?

This rule states that when multiplying two negative numbers, the result will be positive. Similarly, 'plus into plus' will also give a positive result, while 'plus into minus' and 'minus into plus' will give a negative result.

Can you explain how to solve a BODMAS sum step by step using the example '7 - 5 * 2 + 19 - 7 - 4 / 4'?

To solve the example, start by removing brackets (if any). Then, solve any division and multiplication before proceeding with addition and subtraction in sequence. After solving, you get the final result: -19.

What is the correct way to handle a division operation like '48 / 8' in BODMAS?

In BODMAS, division is performed before multiplication and addition. So, in '48 / 8', first perform the division to get 6, and then proceed with the remaining operations.

How do you deal with nested operations within brackets in BODMAS?

When dealing with nested brackets, you must apply BODMAS rules within each bracket. For example, in '5 * (3 - 5 + 3 - 2 - 2)', first solve the operations inside the brackets following BODMAS, and then apply multiplication outside.