1. 3-1 Representing, Comparing, and Ordering Decimals I CAN write decimals in standard form, expanded form, and words. I CAN compare two decimals. I CAN order three or more decimals.

2. 3-1 Representing, Comparing, and Ordering Decimals Place value can help you understand and write and compare decimal numbers.

3. 3-1 Representing, Comparing, and Ordering Decimals 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 Expanded form: one and seven hundredths Word form: 0.0369 Standard form: three hundred sixty-nine ten-thousandths Word form:

4. 3-1 Representing, Comparing, and Ordering Decimals Example 1: Reading and Writing Decimals Write the decimal in standard form and expanded form. C. fourteen and eight hundredths 14.08 Standard form: 10 + 4 + 0.08 Expanded form:

5. 3-1 Representing, Comparing, and Ordering Decimals You Try! 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 Expanded form: one and twelve hundredths Word form: 0.6087 Standard form: six thousand eighty-seven ten-thousandths Word form:

6. 3-1 Representing, Comparing, and Ordering Decimals You Try! Example 1 Write each decimal in standard form and expanded form. C. eleven and two hundredths 11.02 Standard form: 10 + 1 + 0.02 Expanded form:

7. 3-1 Representing, Comparing, and Ordering Decimals 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 < 5. 13.05 < 13.50 The star that has an apparent magnitude of 13.05 has the smaller magnitude.

8. 3-1 Representing, Comparing, and Ordering Decimals You Try! 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 11.28. Which star has the smaller magnitude? 11.30 Line up the decimal points. Start from the left and compare the digits. 11.28 Look for the first place where the digits are different. 2 is less than 3. 11.28 < 11.30 The star that has a magnitude of 11.28 has the smaller magnitude.

9. 3-1 Representing, Comparing, and Ordering Decimals Example 3: Ordering Decimals Order the decimals from least to greatest. 16.67, 16.6, 16.07 16.67 16.60 16.07 Rewrite the numbers so they have the same number of decimal place values. Start at the left and compare the digits. Look for the first place where the digits are different. 16.67 16.60 16.07 The numbers in order from least to greatest are 16.07, 16.6, 16.67

10. 3-1 Representing, Comparing, and Ordering Decimals You Try! Example 3 Order the decimals from least to greatest. 12.042, 12.4, 12.02 12.02, 12.042, 12.4

11. 3-1 Representing, Comparing, and Ordering Decimals CAN YOU write decimals in standard form, expanded form, and words? CAN YOU compare two decimals? CAN YOU order three or more decimals?

12. 3-1 Representing, Comparing, and Ordering Decimals Lesson Quiz Write each in standard form, expanded form and words. 1. 8.0342 2. 10 + 8 + 0.3 + 0.006 3. eight and twelve hundredths 18.306; eighteen and three hundred six thousandths 8 + 0.03 + 0.004 + 0.0002; eight and three hundred forty-two ten thousandths 8.12; 8 + 0.1 + 0.02

13. 3-1 Representing, Comparing, 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? 5. Order the decimals from least to greatest: 16.35, 16.3, 16.5. Pluto 16.3, 16.35, 16.5

14. 3-1 Representing, Comparing, and Ordering Decimals HOMEWORK p. 96: 9-15 odd, 18-24 even, 25-29 ALL