Simplifying Long Numerical Chains with Speed A numerical chain is a sequence of numbers in order, like the numbers in a phone book. Sometimes, these chai...
A numerical chain is a sequence of numbers in order, like the numbers in a phone book. Sometimes, these chains can be long and complex, making it difficult to process quickly.
Speed Maths is a technique that can be used to simplify these chains and make them easier to handle. The idea is to break down the chain into its smallest parts and then combine them in a logical order to create a new chain that is easier to understand and work with.
BODMAS is a mnemonic acronym that stands for Brackets, Order, Division, Multiplication, Addition, Subtraction. This acronym can be used to remember the order in which you should perform operations when simplifying a chain.
How to simplify a chain using BODMAS:
Identify the parts of the chain: Divide the chain into smaller groups of numbers that are grouped together logically.
Simplify the parts: Apply the BODMAS algorithm to each group individually.
Combine the simplified parts: Combine the simplified parts in a way that follows the original order of the chain.
Check your answer: Make sure the simplified chain is correct and matches the original chain.
Example:
Let's consider the following chain:
1234567890
Breaking it down with BODMAS:
Brackets: Combine the first two numbers (12 and 34) into a group.
Order: Order the following numbers (45, 67, 89) in order.
Division: Divide the group of two numbers (45 and 67) by 9 to get 5.
Multiplication: Multiply the group of three numbers (45, 5, and 67) to get 255.
Addition: Add the two numbers (255 and 89) to get 344.
Therefore, the simplified chain is 1234567890.
Benefits of using Speed Maths:
Simplifying long chains can be much faster than working with them in their original order.
This technique helps you to understand the underlying structure of a chain and identify patterns.
By applying the BODMAS algorithm, you can ensure that your simplifications are accurate and follow the original order of the chain