Problem of the Day Subtract your age from your age multiplied by 100. Divide the result by 11, and then divide the quotient by 9. What number do you get?

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Presentation transcript:

Problem of the Day Subtract your age from your age multiplied by 100. Divide the result by 11, and then divide the quotient by 9. What number do you get? Your age

Objective Learn to compare and order whole numbers using place value or a number line.

Standard form: 7,202,516,136

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

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

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? Start at the left and compare digits in the same place value position. Look for the first place where the values are different. 249,183 Belize 276,365 Iceland 40 thousand is less than 70 thousand. 249,183 is less than 276,365. Iceland had more people.

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 1,188,580 people. Which city had more people? Start at the left and compare digits in the same place value position. Look for the first place where the values are different. 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.

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.

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

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 1,044 400 600 800 1,000 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.

Order the numbers from least to greatest: 732; 923; 502 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. 502 732 923 400 600 800 1,000 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.

1-1 Comparing and Ordering Whole Numbers Lesson Quiz Order the numbers from least to greatest. 1. 698, 469, 976. 2. 941, 914, 491. 3. 726, 847, 221. 4. The area of Panama is 78,200 square kilometers, and the area of Lithuania is 65,200 square kilometers. Which country is smaller in area? 469, 698, 976 491, 914, 941 221, 726, 847 Lithuania Course 1

Rounding Whole Numbers There are two ways to round whole numbers: Using a number line Using place value

Rounding Whole Numbers Estimate 15,275 to the thousands place. There are two options for the answer: 15,275 is either closer to 15,000 or it is closer to 16,000.

Rounding Whole Numbers Using a number line Plot 15,275 on the number line 15,275 15,000 15,500 16,000 15,275 is closer to 15,000 than to 16,000. Therefore 15,275 rounded to the thousands place is 15,000.

Rounding Whole Numbers Using Place Value Estimate 15,275 to the thousands place. 15,275 Underline the thousands place.

Rounding Whole Numbers Using Place Value Estimate 15,275 to the thousands place. 15,275 Look at the number to the right of the place you are rounding to.

Rounding Whole Numbers Using Place Value Estimate 15,275 to the thousands place. 15,275 If the number to the right is >4 (greater than 4), add one to the thousands place and replace the hundreds, tens, and ones places with zeros. 16,000

Rounding Whole Numbers Using Place Value Estimate 15,275 to the thousands place. 15,275 If the number to the right is < 5 (less than 5) keep the number in the thousands place and add zeros in the hundreds, tens, and ones places. 15,000

Rounding Whole Numbers Using Place Value Estimate 15,275 to the thousands place. 15,275 Since 2 is to the right of the 5 in the hundreds place and it is < 5 (less than 5), keep the 5 in the thousands place and replace the hundreds, tens, and ones places with zeros. Answer: 15,000