How to use BODMAS (Order of Operations) #2

Summary

This script offers a clear explanation of the order of operations in mathematics, commonly remembered by the acronym BODMAS or BIDMAS. It illustrates how to solve equations by prioritizing operations within brackets, followed by orders (or indices), division, multiplication, addition, and finally subtraction. The script emphasizes the importance of performing division and multiplication, or addition and subtraction, from left to right. It guides through examples to demonstrate the process, highlighting the need to remember and apply this order to avoid common mistakes in mathematical calculations.

Takeaways

• 📚 The acronym BODMAS or BIDMAS is used to remember the order of operations in mathematics: Brackets, Order (exponents), Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
• 🔢 Operations inside brackets should be performed first, and the order within the brackets follows the same BODMAS/BIDMAS principle.
• 💡 When dealing with exponents, perform the operation indicated by the exponent before moving on to other operations.
• ➗✖️ Division and multiplication should be performed from left to right, not necessarily completing all divisions before moving to multiplications.
• ➕➖ Addition and subtraction should also be done from left to right, starting with the first operation encountered.
• 👉 The script provides a step-by-step example of solving an equation using the BODMAS/BIDMAS order, emphasizing the importance of following the correct sequence.
• 📉 In the example, after dealing with brackets and exponents, the next step is to perform multiplication, followed by addition to reach the final answer.
• 📈 Another example is given to illustrate the process of simplifying equations with multiple brackets and operations, again emphasizing the step-by-step approach.
• 📝 The importance of remembering to apply BODMAS/BIDMAS when solving equations is highlighted as a common mistake people make is to forget the order of operations.
• 📊 The script suggests starting with the leftmost bracket and working to the right as a general rule for simplifying equations with multiple operations.
• 🔑 A final tip is provided to always think of BODMAS/BIDMAS when approaching equations to avoid common errors and ensure correct calculations.

Q & A

What does the acronym BODMAS or BIDMAS stand for and what is its purpose?

BODMAS or BIDMAS is a mnemonic to help remember the order of operations in mathematics. The letters stand for Brackets, Order (or Index), Division, Multiplication, Addition, and Subtraction, and they indicate the sequence in which operations should be performed.

Why is it important to follow the order of operations when solving mathematical expressions?

Following the order of operations ensures that mathematical expressions are solved correctly and consistently. Without it, the results could be incorrect, leading to mistakes in calculations.

What does the term 'Order' or 'Index' refer to in the context of BODMAS?

'Order' or 'Index' refers to the exponentiation in an expression, such as squaring or cubing a number, which is indicated by a small raised number and is also known as the power.

How should you handle operations inside brackets according to the BODMAS rule?

According to BODMAS, you should first solve the operations inside the brackets before moving on to the rest of the expression, as brackets take the highest priority.

What should you do if there are multiple sets of brackets in an expression?

You should solve the brackets one at a time, starting with the first one on the left and then moving to the right. The order of solving brackets is flexible, but it's generally easier to start from the left.

How does the script suggest dealing with division and multiplication in an expression?

The script suggests that when it comes to division and multiplication, you should start with the operations on the left and work your way to the right, rather than completing all divisions before moving on to multiplications.

What is the first step in solving the example expression '18 divided by 6 plus three squared times two'?

The first step is to solve the operation inside the brackets, which is the division of 18 by 6, resulting in 3.

What is the final result of the example expression after following the BODMAS rule?

The final result of the example expression is 21, after performing the operations in the correct order according to the BODMAS rule.

In the second example provided in the script, why is the order of two not considered initially?

The order of two is not considered initially because it is outside the brackets. The focus is first on the operations inside the brackets before considering operations outside.

What is the final result of the second example expression after applying the BODMAS rule?

The final result of the second example expression is 9, after simplifying the brackets, performing the order (exponentiation), division, and addition in the correct sequence.

What tip does the script give for effectively using the BODMAS rule?

The script suggests that the hardest thing with the BODMAS rule is remembering to use it. It advises to think of BODMAS whenever doing an equation and consider which operation should be done first to avoid mistakes.