Translate the phrase '46 less than twice a number' into an algebraic expression. Use the variable n to represent the unknown number.
Understand the Problem
The question asks to convert the given phrase into an algebraic expression. 'Twice a number' means 2 times the number, and '46 less than' means we subtract 46 from that result. Use the variable 'n' to represent the unknown number.
Answer
$2n - 46$
Answer for screen readers
$2n - 46$
Steps to Solve
- Represent 'twice a number'
Since the number is represented by $n$, 'twice a number' can be written as $2 \times n$ which is $2n$.
- Represent '46 less than twice a number'
'46 less than' means we subtract 46 from 'twice a number'. So, we subtract 46 from $2n$.
- Write the final expression
Therefore, the algebraic expression is $2n - 46$.
$2n - 46$
More Information
The phrase "46 less than twice a number" translates to the algebraic expression $2n - 46$. The order of operations is important here. We first find "twice a number" ($2n$) and then subtract 46 from that result.
Tips
A common mistake is to write the expression as $46 - 2n$. This is incorrect because the problem states "46 less than twice a number", meaning we are subtracting 46 from $2n$, not the other way around. Another common mistake could be interpreting "twice a number" as $n^2$ instead of $2n$.
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