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Representing, Comparing, 3-1 and Ordering Decimals Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Course 1 Representing, Comparing, 3-1 and Ordering Decimals Warm Up Order the numbers from least to greatest. 1. 242, 156, 224, 165 156, 165, 224, 242 2. 941, 148, 914, 814, 721 148, 721, 814, 914, 941 3. 345, 376, 354, 397 345, 354, 376, 397 Representing, Comparing, 3-1 and Ordering Decimals 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 Representing, Comparing, 3-1 and Ordering Decimals Learn to write, compare, and order decimals using place value and number lines. Representing, Comparing, 3-1 and Ordering Decimals Place value can help you understand and write and compare decimal numbers. Representing, Comparing, 3-1 and Ordering Decimals Additional Example 1: Reading and Writing Decimals Write each decimal in standard form, expanded form, and words. A. 1.07 Expanded form: 1 + 0.07 Word form: one and seven hundredths B. 0.03 + 0.006 + 0.0009 Standard form: 0.0369 Word form: three hundred sixty-nine ten-thousandths Representing, Comparing, 3-1 and Ordering Decimals Additional Example 1: Reading and Writing Decimals Write the decimal in standard form and expanded form. C. fourteen and eight hundredths Standard form: 14.08 Expanded form: 10 + 4 + 0.08 Representing, Comparing, 3-1 and Ordering Decimals Check It Out: Example 1 Write each decimal in standard form, expanded form, and words. A. 1.12 Expanded form: 1 + 0.1 + 0.02 Word form: one and twelve hundredths B. 0.6 + 0.008 + 0.0007 Standard form: 0.6087 Word form: six thousand eighty-seven ten-thousandths Representing, Comparing, 3-1 and Ordering Decimals Check It Out: Example 1 Write each decimal in standard form and expanded form. C. eleven and two hundredths Standard form: 11.02 Expanded form: 10 + 1 + 0.02 Representing, Comparing, 3-1 and Ordering Decimals 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 Line up the decimal points. Start from the left and compare the digits. 13.05 Look for the first place where the digits are different. 0 is less than 5. 13.05 < 13.50 The star that has an apparent magnitude of 13.05 has the smaller magnitude. Representing, Comparing, 3-1 and Ordering Decimals 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 Line up the decimal points. Start from the left and compare the digits. 11.03 Look for the first place where the digits are different. 0 is less than 3. 11.03 < 11.30 The star that has a magnitude of 11.03 has the smaller magnitude. Representing, Comparing, 3-1 and Ordering Decimals Additional Example 3: Comparing and Ordering Decimals Order the decimals from least to greatest. 16.67, 16.6, 16.07 16.67 Compare two of the numbers at a time. 16.60 16.60 < 16.67 Write 16.6 as “16.60.” 16.67 16.07 16.07 < 16.67 16.60 16.07 16.07 < 16.60 Start at the left and compare the digits. Look for the first place where the digits are different. Representing, Comparing, 3-1 and Ordering Decimals Additional Example 3 Continued Graph the numbers on a number line. 16.07 16 16.1 16.2 16.3 16.6 16.67 16.4 16.5 16.6 16.7 16.8 16.9 17 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. Representing, Comparing, 3-1 and Ordering Decimals Check It Out: Example 3 Order the decimals from least to greatest. 12.42, 12.4, 12.02 12.42 Compare two of the numbers at a time. 12.40 12.40 < 12.42 Write 12.4 as “12.40.” 12.42 12.02 12.02 < 12.42 12.40 12.02 12.02 < 12.40 Start at the left and compare the digits. Look for the first place where the digits are different. Representing, Comparing, 3-1 and Ordering Decimals Check It Out: Example 3 Continued Graph the numbers on a number line. 12.02 12 12.1 12.2 12.3 12.42 12.4 12.4 12.5 12.6 12.7 12.8 12.9 13 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. Representing, Comparing, 3-1 and Ordering Decimals Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz: Part I Write each in standard form, expanded form and words. 1. 8.0342 8 + 0.03 + 0.004 + 0.0002; eight and three hundred forty-two ten thousandths 2. 10 + 8 + 0.3 + 0.006 18.306; eighteen and three hundred six thousandths 3. eight and twelve hundredths 8.12; 8 + 0.1 + 0.02 Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz: Part II 4. It takes Pluto 246.7 years to orbit the Sun, and it takes Neptune 164.8 years. Which takes longer to orbit the Sun? Pluto 5. Order the decimals from least to greatest: 16.35, 16.3, 16.5. 16.3, 16.35, 16.5 Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz for Student Response Systems 1. Which of the following represents 3.0727 in the expanded form and words? A. 3 + 0.07 + 0.002 + 0.0007; three and seven hundred twenty-seven thousandths B. 3 + 0.7 + 0.072 + 0.727; three and seven hundred twenty-seven thousandths C. 3 + 0.07 + 0.072 + 0.0727; three and seven hundred twenty-seven ten-thousandths D. 3 + 0.07 + 0.002 + 0.0007; three and seven hundred twenty-seven ten-thousandths Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz for Student Response Systems 2. Which of the following represents 25 + 0.9 + 0.007 in the standard form and words? A. 25.907; twenty-five and nine hundred seven thousandths B. 25.907; twenty-five and nine hundred seven hundredths C. 25.97; twenty-five and ninety seven hundredths D. 25.97; twenty-five and nine hundred seven thousandths Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz for Student Response Systems 3. Which of the following represents ‘twenty-three and six hundredths’ in the standard form and expanded form? A. 23.06; 20 + 3 + 0.006 B. 23.06; 20 + 3 + 0.06 C. 23.006; 20 + 3 + 0.06 D. 23.006; 20 + 3 + 0.006 Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz for Student Response Systems 4. The atomic weight of Gallium is 69.723, Germanium is 72.64, Copper is 63.546 and Zinc is 65.409. Which element has the highest atomic weight? A. Gallium B. Germanium C. Copper D. Zinc Representing, Comparing, 3-1 and Ordering Decimals Lesson Quiz for Student Response Systems 5. Which of the following represents the given decimals ordered from least to greatest? 13.52, 13.3, 13.08 A. 13.08, 13.3, 13.52 B. 13.52, 13.08, 13.3 C. 13.3, 13.08, 13.52 D. 13.3, 13.52, 13.08

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