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Understanding Place Value and Comparing Numbers through Mental Math

This lesson focuses on the concept of place value using Charley's purchase of a moon buggy for $7,425 as a practical example. Students will learn how to express and compare numbers through mental math. By examining the digits of the price, they will grasp how each digit's position determines its value. The lesson will cover writing numbers in both standard and expanded form, providing a deeper understanding of monetary values and number comparison. Engaging activities will reinforce these essential math skills.

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Understanding Place Value and Comparing Numbers through Mental Math

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  1. HOW TO EXPRESS NUMBERS

  2. MENTAL MATH • Havestudents compare values: • 4, 12 • 42, 24 • 2, 10, -1 • 3+3,6 -1 • 13 – 12, 0

  3. PROBLEM • The government space agency plans to sell used moon buggies to the highest bidders. What did Charley pay for the one he bought? • We want to understand the cost of Charley’s moon buggy. • Charley paid exactly $7,425. To understand how much money this is, we will look at the place value of each digit in the price.

  4. REMEMBER: The numbers 0,1,2,3,4,5,6,7,8,and 9 are called digits. The position of the digit decides its place value.

  5. In 7,425, the digit represents hundreds, and the digit 7 represents thousands. • So, numbers can be written in standard or expanded form. STANDARD FORM: 7,425 EXPANDED FORM: 7,000 + 400 + 20 + 5 We say Charley paid seven thousand, four hundred twenty-five dollars. We write $7,425

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