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Representing, Comparing, and Ordering Decimals

Learn how to write, compare, and order decimals using place value and number lines. Practice reading and writing decimals in standard form, expanded form, and words. Compare and order decimals using visual representations and numerical comparisons.

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Representing, Comparing, and Ordering Decimals

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  1. Representing, Comparing, and Ordering Decimals 3-1 Warm Up Problem of the Day Lesson Presentation Course 1

  2. Warm Up Order the numbers from least to greatest. 1.242, 156, 224, 165 2. 941, 148, 914, 814, 721 3. 345, 376, 354, 397 156, 165, 224, 242 148, 721, 814, 914, 941 345, 354, 376, 397

  3. Problem of the Day Lupe is taller than Reba and shorter than Miguel. Tory is shorter than Lupe but taller than Reba. List the four brothers and sisters in order from tallest to shortest. Miguel, Lupe, Tory, Reba

  4. Learn to write, compare, and order decimals using place value and number lines.

  5. Expanded form: Word form: Standard form: Word form: Additional Example 1: Reading and Writing Decimals Write each decimal in standard form, expanded form, and words. A. 1.07 B. 0.03 + 0.006 + 0.0009 1 + 0.07 one and seven hundredths 0.0369 three hundred sixty-nine ten-thousandths

  6. Standard form: Expanded form: Additional Example 1: Reading and Writing Decimals Write the decimal in standard form and expanded form. C. fourteen and eight hundredths 14.08 10 + 4 + 0.08

  7. Expanded form: Word form: Standard form: Word form: Check It Out: Example 1 Write each decimal in standard form, expanded form, and words. A. 1.12 B. 0.6 + 0.008 + 0.0007 1 + 0.1 + 0.02 one and twelve hundredths 0.6087 six thousand eighty-seven ten-thousandths

  8. Standard form: Expanded form: Check It Out: Example 1 Write each decimal in standard form and expanded form. C. eleven and two hundredths 11.02 10 + 1 + 0.02

  9. Line up the decimal points. Start from the left and compare the digits. Look for the first place where the digits are different. Additional Example 2: Earth Science Application The star Wolf 359 has an apparent magnitude of 13.5. Suppose another star has an apparent magnitude of 13.05. Which star has the smaller magnitude? 13.50 13.05 0 is less than 5. 13.05 < 13.50 The star that has an apparent magnitude of 13.05 has the smaller magnitude.

  10. Line up the decimal points. Start from the left and compare the digits. Look for the first place where the digits are different. Check It Out: Example 2 Tina reported on a star for her science project that has a magnitude of 11.3. Maven reported on another star that has a magnitude of 11.03. Which star has the smaller magnitude? 11.30 11.03 0 is less than 3. 11.03 < 11.30 The star that has a magnitude of 11.03 has the smaller magnitude.

  11. Compare two of the numbers at a time. Write 16.6 as “16.60.” Start at the left and compare the digits. Look for the first place where the digits are different. Additional Example 3: Comparing and Ordering Decimals Order the decimals from least to greatest. 16.67, 16.6, 16.07 16.67 16.60 16.60 < 16.67 16.67 16.07 16.07 < 16.67 16.60 16.07 16.07 < 16.60

  12. 16 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17 Additional Example 3 Continued Graph the numbers on a number line. 16.6 16.67 16.07 The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 16.07, 16.6, and 16.67.

  13. Compare two of the numbers at a time. Write 12.4 as “12.40.” Start at the left and compare the digits. Look for the first place where the digits are different. Check It Out: Example 3 Order the decimals from least to greatest. 12.42, 12.4, 12.02 12.42 12.40 12.40 < 12.42 12.42 12.02 12.02 < 12.42 12.40 12.02 12.02 < 12.40

  14. 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13 Check It Out: Example 3 Continued Graph the numbers on a number line. 12.42 12.4 12.02 The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 12.02, 12.4, and 12.42.

  15. Lesson Quiz: Part I Write each in standard form, expanded form and words. 1. 8.0342 2. 10 + 8 + 0.3 + 0.006 3. eight and twelve hundredths 8 + 0.03 + 0.004 + 0.0002; eight and three hundred forty-two ten thousandths 18.306; eighteen and three hundred six thousandths 8.12; 8 + 0.1 + 0.02

  16. Lesson Quiz: Part II 4. It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which planet takes longer to orbit the Sun? 5. Order the decimals from least to greatest: 16.35, 16.3, 16.5. Pluto 16.3, 16.35, 16.5

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