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Understanding how to convert a percentage to a decimal is an essential skill in mathematics, as it allows for more straightforward calculations and ease of comparison. To convert a percentage to a decimal, divide the percentage value by 100. This operation essentially moves the decimal point two places to the left. For example:

• To convert 10% to a decimal, divide 10 by 100 to get 0.10.
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  For 75%, divide 75 by 100, resulting in 0.75.
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  When converting 250%, which may occur in problems involving increase, divide 250 by 100 to yield 2.50.

This process is based on the definition of a percentage as a part per hundred. Thus, 'per cent' means 'per hundred' and the division by 100 aligns with that definition, effectively giving you the portion out of a single unit.

Turning verbal statements into equations is a critical aspect of problem-solving in mathematics as it allows one to represent real-world scenarios formally and logically. The process involves identifying numerical values, percentages, and operations described in words and then representing them with mathematical symbols.

For instance, when encountering the word 'of,' it generally indicates multiplication. The phrase '10% of 160' can be expressed as a multiplication of the decimal form of the percentage by the number. Other common phrases include 'is' which translates to '=', 'more than' to '+', and 'less than' to '-'. Learning these translations can help to accurately set up and solve mathematical equations and problems. To ensure clarity and avoid errors, it's fundamental to proceed step by step from the verbal statement to the mathematical equation it represents.

A mathematical expression represents a combination of numbers, variables, and operation symbols that, together, define a particular quantity or relationship. These expressions are the building blocks for equations and can vary from simple to complex. Unlike equations, expressions do not have an '=' symbol; they are not complete statements that express a relationship between two things but rather are components of those statements.

For example, '0.10 脳 160' is an expression that denotes '10% of 160' after the percentage has been converted to a decimal form. Expressions can be evaluated to yield a single value, and their complexity depends on the number of operations and variables involved. Knowing how to form and manipulate these expressions is vital in solving a variety of mathematical problems.

When dealing with percentages and expressions in context, it's essential to translate percentages correctly and recognize the operations they imply through words in verbal statements. This ensures that the expressions created are accurate representations of the scenarios being addressed.