Reviewed by Jessica Kaminski
What does ‘of’ mean in algebra?
Answer: In algebra, ‘of’ means multiplication
In algebra and mathematical language, the word ‘of’ is frequently used to indicate multiplication. This is especially common in percentage problems and expressions involving parts of a whole, translating phrases like 'half of x' to mathematical operations. Understanding this usage helps in correctly interpreting and writing algebraic expressions.
Methods
Math Tutor Explanation Using Word Translation Method
This method demonstrates how to convert verbal phrases into algebraic expressions by recognizing 'of' as the multiplication operation.
Step 1: Step 1: Identify statements or problems where the word ‘of’ connects two values or expressions
Step 2: Step 2: Replace ‘of’ with the multiplication symbol (× or ·), creating an algebraic expression
Math Tutor Explanation Using Examples Method
This approach uses practical examples to show how ‘of’ translates to multiplication in common algebraic contexts.
Step 1: Step 1: Write out a verbal statement such as '3 of x' or '50% of y'
Step 2: Step 2: Convert these phrases to algebraic notation: '3 of x' becomes 3 × x, and '50% of y' becomes 0.5 × y
Step 1:
Step 2:
Math Tutor suggests: Understanding 'Of' and Operations in Algebra
Build your confidence in algebraic operations and the meaning of 'of' with these related questions and solutions.
FAQ on the Word ‘of’ in Algebra
When should I use multiplication for ‘of’ in algebra?
Whenever ‘of’ connects a number to a variable or another number, use multiplication.
Is ‘of’ always multiplication in math?
Most of the time, yes, especially in arithmetic and algebra. There can be exceptions in other contexts.
How do I express ‘half of x’ algebraically?
‘Half of x’ is written as (1/2) × x or x/2.
Does ‘of’ mean something different in geometry?
No, ‘of’ still typically means multiplication, like in 'area of a rectangle is length × width'.
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