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Understanding and Comparing Whole Numbers: A Lesson on Place Value and Ordering

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kiayada-webb
11 diapositives · 277 Views · Oct 31, 2014

In this lesson, students will learn how to compare and order whole numbers using standard, expanded, and word forms. The focus will be on understanding place value, comparing digits in the same position, and identifying differences to determine which numbers are greater or lesser. Through real-world examples, including population statistics from various places, students will practice comparing numbers and placing them in order from least to greatest. Engaging activities and a number line method will reinforce their comprehension of whole number comparisons.

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  1. Comparing and Ordering Whole Numbers 1-1 Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Standard form: 7,202,516,136

  3. Expanded form: 7,000,000,000 + 200,000,000 + 2,000,000 + 500,000 + 10,000 + 6,000 + 100 + 30 + 6

  4. Word form: seven billion, two hundred two million, five hundred sixteen thousand, one hundred thirty-six

  5. Start at the left and compare digits in the same place value position. Look for the first place where the values are different. Additional Example 1: Using Place Value to Compare Whole Numbers Belize’s 2000 population was 249,183 people. Iceland’s 2000 population was 276,365 people. Which country had more people? 249,183 Belize 276,365 Iceland 40 thousand is less than 70 thousand. 249,183 is less than 276,365. Iceland had more people.

  6. Standard form 12,446 • Expanded form 10,000 + 2,000 + 400 + 50 + 6 • Word form : twelve thousand, four hundred fifty six • Compare: 1.line up place value • 2. Put 0’s in blank spaces • 3. Compare from left to right

  7. Start at the left and compare digits in the same place value position. Look for the first place where the values are different. Check It Out: Example 1 In 2000, the population of San Diego, California was 1,223,400 people. In 2000, the population of Dallas, Texas was 1,188,580people. Which city had more people? 1,223,400 San Diego 1,188,580 Dallas 200 thousand is greater than 100 thousand. 1,223,400 is greater than 1,188,580. San Diego had more people.

  8. To order numbers, you can compare them using place value and then write them in order from least to greatest. You can also graph the numbers on a number line. As you read the numbers from left to right, they will be ordered from least to greatest.

  9. Remember! < means “is less than.” 3 < 5 120 < 504 > means “is greater than.” 17 > 9 212 > 83

  10. 400 600 800 1,000 Additional Example 2: Using a Number Line to Order Whole Numbers Order the numbers from least to greatest: 675; 1,044; 497 Graph the numbers on a number line: The number 675 is between 600 and 700. The number 1,044 is between 1,000 and 1,100. The number 497 is between 400 and 500. 497 675 1,044 The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 497, 675, and 1,044.

  11. 400 600 800 1,000 Check It Out: Example 2 Order the numbers from least to greatest: 732; 923; 502 Graph the numbers on a number line: The number 732 is between 700 and 800. The number 923 is between 900 and 1,000. The number 502 is between 500 and 600. 502 732 923 The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 502, 732, and 923.