Math Example: Language of Math--Numerical Expressions--Division--Example 40

Topic

Numerical Expressions

Description

This math example illustrates the process of converting the phrase "Negative seven goes into negative ten" into a numerical expression. The problem involves dividing negative numbers, specifically -10 ÷ -7. This example helps students understand how to interpret verbal descriptions of mathematical operations and translate them into proper numerical expressions, particularly when dealing with negative numbers and division.

Numerical expressions are a crucial component of mathematical language, allowing students to represent complex ideas using symbols and numbers. By working with various examples, students develop the skills to interpret and create these expressions, which is essential for solving more advanced mathematical problems. Understanding how to translate verbal descriptions into numerical expressions is particularly important as it forms the foundation for algebraic thinking and problem-solving in higher-level mathematics.

Providing students with multiple worked-out examples is vital for a comprehensive understanding of numerical expressions. Each example offers a unique perspective, helping students recognize patterns and develop a deeper grasp of the underlying concepts. This approach not only enhances their problem-solving skills but also builds their confidence in tackling more complex mathematical challenges.

Teacher Script: "Now, let's examine this example together. We need to convert 'Negative seven goes into negative ten' into a numerical expression. What does 'goes into' mean in mathematical terms? Correct, it indicates division. So, we're dividing negative ten by negative seven. Remember, the order matters in division. Can you write this expression for me? Excellent work! It's -10 ÷ -7 or -10 / -7. This skill is crucial for translating word problems into mathematical expressions, making them much easier to solve and understand."

For a complete collection of math examples related to Numerical Expressions click on this link: Math Examples: Numerical Expressions: Division Collection.