Math Example: Language of Math--Numerical Expressions--Multiplication--Example 25

Topic

Numerical Expressions

Description

This example illustrates the conversion of the phrase "Nine multiples of negative eighteen" into a numerical expression. The solution explains that "multiples of" indicates multiplication, with the number on the right being multiplied by the number on the left. The resulting expression is -18 * 9, demonstrating how verbal mathematical statements can be concisely represented symbolically.

Numerical expressions are a cornerstone of mathematical communication, allowing complex ideas to be expressed efficiently. This collection of examples helps students understand the connection between everyday language and mathematical notation, an essential skill for problem-solving and advanced mathematical thinking.

Presenting students with multiple worked examples is a powerful teaching strategy. It allows learners to identify patterns, understand variations, and develop a intuitive grasp of the underlying concepts. By seeing how different verbal phrases translate into similar numerical expressions, students can build a robust mental model of multiplication and its various verbal representations.

Teacher Script: "Now, let's examine this example. The phrase 'multiples of' is another way to express multiplication. In this case, we have 'nine multiples of negative eighteen.' How would you interpret this? Think about which number is being multiplied and which number tells us how many times. Remember, the order of factors in multiplication can affect the way we write and solve the problem. Take a moment to consider how you'd express this as a numerical expression, and then we'll discuss your approach."

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