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Round off to the nearest cm. Draw the arrows on the rulers.

Mathematics

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Here are the solutions to the rounding problems:

10. Round off to the nearest cm. Draw the arrows on the rulers.

  • Ruler 1 (0 cm to 1 cm):
    • a. 4 mm rounded off is ___ cm.

  1. Convert millimeters to centimeters.

            $$
        4 \text{ mm} = \frac{4}{10} \text{ cm} = 0.4 \text{ cm}
        $$

  2. Round 0.4 cm0.4 \text{ cm} to the nearest centimeter.

    Since the digit in the tenths place (4) is less than 5, round down. 0.4 cm≈0 cm 0.4 \text{ cm} \approx 0 \text{ cm} * Arrow: Draw an arrow from the 4 mm4 \text{ mm} mark on the ruler pointing towards the 0 cm0 \text{ cm} mark. * Answer: 0 cm\boxed{\text{0 cm}} * b. 8 mm rounded off is ___ cm.

  3. Convert millimeters to centimeters.

            $$
        8 \text{ mm} = \frac{8}{10} \text{ cm} = 0.8 \text{ cm}
        $$

  4. Round 0.8 cm0.8 \text{ cm} to the nearest centimeter.

    Since the digit in the tenths place (8) is 5 or greater, round up. 0.8 cm≈1 cm 0.8 \text{ cm} \approx 1 \text{ cm} * Arrow: Draw an arrow from the 8 mm8 \text{ mm} mark on the ruler pointing towards the 1 cm1 \text{ cm} mark. * Answer: 1 cm\boxed{\text{1 cm}}

    • Ruler 2 (10 cm / 100 mm to 20 cm / 200 mm):
      • a. 187 mm rounded off is ___ cm.

  5. Convert millimeters to centimeters.

            $$
        187 \text{ mm} = \frac{187}{10} \text{ cm} = 18.7 \text{ cm}
        $$

  6. Round 18.7 cm18.7 \text{ cm} to the nearest centimeter.

    Since the digit in the tenths place (7) is 5 or greater, round up. 18.7 cm≈19 cm 18.7 \text{ cm} \approx 19 \text{ cm} * Arrow: Draw an arrow from the 18.7 cm18.7 \text{ cm} mark (which is 7 mm7 \text{ mm} past 18 cm18 \text{ cm}) on the ruler pointing towards the 19 cm19 \text{ cm} mark. * Answer: 19 cm\boxed{\text{19 cm}} * b. 184 mm rounded off is ___ cm.

  7. Convert millimeters to centimeters.

            $$
        184 \text{ mm} = \frac{184}{10} \text{ cm} = 18.4 \text{ cm}
        $$

  8. Round 18.4 cm18.4 \text{ cm} to the nearest centimeter.

    Since the digit in the tenths place (4) is less than 5, round down. 18.4 cm≈18 cm 18.4 \text{ cm} \approx 18 \text{ cm} * Arrow: Draw an arrow from the 18.4 cm18.4 \text{ cm} mark (which is 4 mm4 \text{ mm} past 18 cm18 \text{ cm}) on the ruler pointing towards the 18 cm18 \text{ cm} mark. * Answer: 18 cm\boxed{\text{18 cm}}

    11. Round off to the nearest m. Draw the arrows on the rulers.

    • Ruler 1 (6 m to 7 m):
      • a. 650 cm rounded off is ___ m.

  9. Convert centimeters to meters.

            $$
        650 \text{ cm} = \frac{650}{100} \text{ m} = 6.5 \text{ m}
        $$

  10. Round 6.5 m6.5 \text{ m} to the nearest meter.

    Since the digit in the tenths place (5) is 5 or greater, round up. 6.5 m≈7 m 6.5 \text{ m} \approx 7 \text{ m} * Arrow: Draw an arrow from the 6.5 m6.5 \text{ m} mark on the ruler pointing towards the 7 m7 \text{ m} mark. * Answer: 7 m\boxed{\text{7 m}} * b. 620 cm rounded off is ___ m.

  11. Convert centimeters to meters.

            $$
        620 \text{ cm} = \frac{620}{100} \text{ m} = 6.2 \text{ m}
        $$

  12. Round 6.2 m6.2 \text{ m} to the nearest meter.

    Since the digit in the tenths place (2) is less than 5, round down. 6.2 m≈6 m 6.2 \text{ m} \approx 6 \text{ m} * Arrow: Draw an arrow from the 6.2 m6.2 \text{ m} mark on the ruler pointing towards the 6 m6 \text{ m} mark. * Answer: 6 m\boxed{\text{6 m}}

    12. Round off to the nearest m. Draw the arrows on the rulers.

    • Ruler 1 (0 m to 1 m / 1000 mm):
      • a. 400 mm rounded off is ___ m.

  13. Convert millimeters to meters.

            $$
        400 \text{ mm} = \frac{400}{1000} \text{ m} = 0.4 \text{ m}
        $$

  14. Round 0.4 m0.4 \text{ m} to the nearest meter.

    Since the digit in the tenths place (4) is less than 5, round down. 0.4 m≈0 m 0.4 \text{ m} \approx 0 \text{ m} * Arrow: Draw an arrow from the 400 mm400 \text{ mm} mark on the ruler pointing towards the 0 m0 \text{ m} mark. * Answer: 0 m\boxed{\text{0 m}} * b. 800 mm rounded off is ___ m.

  15. Convert millimeters to meters.

            $$
        800 \text{ mm} = \frac{800}{1000} \text{ m} = 0.8 \text{ m}
        $$

  16. Round 0.8 m0.8 \text{ m} to the nearest meter.

    Since the digit in the tenths place (8) is 5 or greater, round up. 0.8 m≈1 m 0.8 \text{ m} \approx 1 \text{ m} * Arrow: Draw an arrow from the 800 mm800 \text{ mm} mark on the ruler pointing towards the 1 m1 \text{ m} mark. * Answer: 1 m\boxed{\text{1 m}}

    • Ruler 2 (6 m to 7 m / 7000 mm):
      • a. 6300 mm rounded off is ___ m.

  17. Convert millimeters to meters.

            $$
        6300 \text{ mm} = \frac{6300}{1000} \text{ m} = 6.3 \text{ m}
        $$

  18. Round 6.3 m6.3 \text{ m} to the nearest meter.

    Since the digit in the tenths place (3) is less than 5, round down. 6.3 m≈6 m 6.3 \text{ m} \approx 6 \text{ m} * Arrow: Draw an arrow from the 6300 mm6300 \text{ mm} mark on the ruler pointing towards the 6 m6 \text{ m} mark. * Answer: 6 m\boxed{\text{6 m}} * b. 6900 mm rounded off is ___ m.

  19. Convert millimeters to meters.

            $$
        6900 \text{ mm} = \frac{6900}{1000} \text{ m} = 6.9 \text{ m}
        $$

  20. Round 6.9 m6.9 \text{ m} to the nearest meter.

    Since the digit in the tenths place (9) is 5 or greater, round up. 6.9 m≈7 m 6.9 \text{ m} \approx 7 \text{ m} * Arrow: Draw an arrow from the 6900 mm6900 \text{ mm} mark on the ruler pointing towards the 7 m7 \text{ m} mark. * Answer: 7 m\boxed{\text{7 m}}

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