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Multiplication Notation in Algebra
In algebra, the cross symbol () is generally not used for multiplication because it can easily be confused with the variable letter . For instance, the expression could be misread as (meaning "three times ") rather than its intended meaning of (meaning "three times times "). To avoid this ambiguity, algebraic multiplication is instead indicated by a raised dot (), by juxtaposition — writing factors side by side with no symbol, as in — or by enclosing one or both factors in parentheses, such as , , or . One notable exception is scientific notation, where the cross symbol is customarily used as the multiplication sign — for example, — even though it is avoided elsewhere in algebra.
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Elementary Algebra @ OpenStax
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Learn After
A data analyst is reviewing different ways multiplication is represented in company spreadsheets. Match each multiplication notation method with its corresponding algebraic example.
A data entry specialist is training a new hire on how to write algebraic expressions for a company's billing software. They explain that while the cross symbol (×) is avoided in most algebraic expressions to prevent confusion with variables, it is still the standard notation used for which of the following?
In technical documentation and algebraic formulas, although the cross symbol (×) is generally avoided to prevent confusion with the variable 'x', it remains the standard symbol used for multiplication in scientific notation.
Notation Standards in Technical Manuals
In a business analytics report, the formula for total revenue is written as , where represents the number of transactions and represents the rate. The method of indicating multiplication by writing factors side-by-side with no symbol between them is known as ____.
Standardizing Multiplication Notation in Technical Documentation
A technical writer is updating a company's internal math style guide for engineering reports. They need to arrange different notations for the expression '10 times ' in the following specific order:
- Multiplication by juxtaposition
- Multiplication using a raised dot
- Multiplication using parentheses
Order the expressions below to match this required sequence.
Standardizing Mathematical Notation in Technical Manuals
A corporate training coordinator is developing a 'Technical Mathematics' guide for new employees. The guide states that since the cross symbol (×) is often avoided in algebra to prevent confusion with variables, other methods must be used to show multiplication. Which of the following lists correctly identifies the three standard ways multiplication is represented in algebraic expressions?
A technical writer is drafting a math style guide for a company's engineering reports. The guide specifies that the cross symbol (×) should generally be avoided when representing multiplication in algebraic formulas. According to standard algebraic notation, what is the primary reason for this rule?