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Question Determine whether the following is an expression or an equation. \[ 5 \cdot 4+3 \]

Ask by Cox Burgess. in the United States
Mar 08,2025

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It is an expression.

Solution

The given mathematical statement is \[ 5 \cdot 4 + 3 \] To determine whether it is an expression or an equation, we need to understand the definitions: - An **expression** is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that represents a value. It does not contain an equality sign. - An **equation** is a statement that asserts the equality of two expressions, typically containing an equality sign (e.g., \(a = b\)). In this case, the statement \(5 \cdot 4 + 3\) does not contain an equality sign. It is simply a mathematical expression that can be evaluated to yield a numerical value. Therefore, the answer is that \(5 \cdot 4 + 3\) is an **expression**.

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This mathematical statement, \( 5 \cdot 4 + 3 \), is an expression. Expressions consist of numbers, variables, and operators, but they do not include an equality sign. Since there is no equals sign present, you're looking at a calculation that can be evaluated to provide a single value. An interesting point to note is that while expressions are great for calculations, they can't show relationships like equations can. Equations, with their equal sign, are all about balance – like a tightrope walker ensuring they don’t tip either way!

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