A numerical expression in math terms has numbers and operations
like for an example
1. 4+9
2. (8-2)+5
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The term "numerical" means "involving numbers" and the term "expression" means "phrase". So a numerical expression is a mathematical phrase involving only numbers and one or more operational symbols.
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A numerical expression is a mathematical "problem" that only needs to consist of ant more than 0 numbers and can include signs, etc. I.e. 34 + 6
The algebra teacher was looking for a numeric expressionfor an answer
34 is the evaluation of 34
It can refer to the absolute value: that is the "positive" (or non-negative) value of the expression.
An algebraic expression will normally include one or more variables that is represented by a letter or some non-numeric symbol.
An algebraic expression includes one or more variables (x, y, a, b) that can have more than one value, especially with regard to each other when there are two or more.