Math Example: Language of Math--Numerical Expressions--Division--Example 3

Topic

Numerical Expressions

Description

This example demonstrates the conversion of the verbal expression "Fifteen to three" into a numerical expression. The solution shows that this can be written as 15 / 3 or 15 ÷ 3, illustrating two common notations for division in mathematics.

Understanding numerical expressions, particularly those involving division, is essential in mathematics. It forms the foundation for more complex algebraic operations and problem-solving strategies. This collection of examples helps teach the topic by presenting various verbal phrases that indicate division and showing how to translate them into mathematical notation.

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of converting verbal expressions to numerical ones. Each example reinforces the pattern recognition needed to identify division language and translate it accurately. This repetition helps students develop confidence in their ability to interpret and write mathematical expressions.

Teacher Script: "Let's examine this example together. Notice how the word 'to' is used here to indicate division. In mathematics, 'to' can sometimes be used to express a ratio, which is a form of division. When you see this word used in this context, it's a signal that you'll be writing a division expression. Remember, we can write division using either a forward slash or the division symbol. Both 15 / 3 and 15 ÷ 3 are correct ways to express this numerically. As we go through more examples, try to spot different words or phrases that might indicate division in a problem."

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