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Write the following in m and cm. Show 786 cm on a tape measure. 4. Write the following in cm. Show 9 m and 75 cm on a tape measure.

Mathematics

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Here are the solutions to the conversion problems.

Write the following in m and cm.
To convert centimeters to meters and centimeters, divide the total centimeters by 100. The quotient is the number of meters, and the remainder is the number of centimeters. (1 m=100 cm1 \text{ m} = 100 \text{ cm})

a) 963 cm963 \text{ cm}

  1. Divide 963 cm963 \text{ cm} by 100.

    963 cm=900 cm+63 cm963 \text{ cm} = 900 \text{ cm} + 63 \text{ cm}
  2. Convert 900 cm900 \text{ cm} to meters.

    900 cm=900100 m=9 m900 \text{ cm} = \frac{900}{100} \text{ m} = 9 \text{ m}
  3. Combine the meters and remaining centimeters.

    963 cm=9 m and 63 cm963 \text{ cm} = \boxed{\text{9 m and 63 cm}}

    b) 698 cm698 \text{ cm}

  4. Divide 698 cm698 \text{ cm} by 100.

    698 cm=600 cm+98 cm698 \text{ cm} = 600 \text{ cm} + 98 \text{ cm}
  5. Convert 600 cm600 \text{ cm} to meters.

    600 cm=600100 m=6 m600 \text{ cm} = \frac{600}{100} \text{ m} = 6 \text{ m}
  6. Combine the meters and remaining centimeters.

    698 cm=6 m and 98 cm698 \text{ cm} = \boxed{\text{6 m and 98 cm}}

    c) 741 cm741 \text{ cm}

  7. Divide 741 cm741 \text{ cm} by 100.

    741 cm=700 cm+41 cm741 \text{ cm} = 700 \text{ cm} + 41 \text{ cm}
  8. Convert 700 cm700 \text{ cm} to meters.

    700 cm=700100 m=7 m700 \text{ cm} = \frac{700}{100} \text{ m} = 7 \text{ m}
  9. Combine the meters and remaining centimeters.

    741 cm=7 m and 41 cm741 \text{ cm} = \boxed{\text{7 m and 41 cm}}

    d) 587 cm587 \text{ cm}

  10. Divide 587 cm587 \text{ cm} by 100.

    587 cm=500 cm+87 cm587 \text{ cm} = 500 \text{ cm} + 87 \text{ cm}
  11. Convert 500 cm500 \text{ cm} to meters.

    500 cm=500100 m=5 m500 \text{ cm} = \frac{500}{100} \text{ m} = 5 \text{ m}
  12. Combine the meters and remaining centimeters.

    587 cm=5 m and 87 cm587 \text{ cm} = \boxed{\text{5 m and 87 cm}}

    e) 852 cm852 \text{ cm}

  13. Divide 852 cm852 \text{ cm} by 100.

    852 cm=800 cm+52 cm852 \text{ cm} = 800 \text{ cm} + 52 \text{ cm}
  14. Convert 800 cm800 \text{ cm} to meters.

    800 cm=800100 m=8 m800 \text{ cm} = \frac{800}{100} \text{ m} = 8 \text{ m}
  15. Combine the meters and remaining centimeters.

    852 cm=8 m and 52 cm852 \text{ cm} = \boxed{\text{8 m and 52 cm}}

    f) 479 cm479 \text{ cm}

  16. Divide 479 cm479 \text{ cm} by 100.

    479 cm=400 cm+79 cm479 \text{ cm} = 400 \text{ cm} + 79 \text{ cm}
  17. Convert 400 cm400 \text{ cm} to meters.

    400 cm=400100 m=4 m400 \text{ cm} = \frac{400}{100} \text{ m} = 4 \text{ m}
  18. Combine the meters and remaining centimeters.

    479 cm=4 m and 79 cm479 \text{ cm} = \boxed{\text{4 m and 79 cm}}

    Write the following in cm.
    To convert meters and centimeters to total centimeters, multiply the meters by 100 and then add the centimeters. (1 m=100 cm1 \text{ m} = 100 \text{ cm})

    a) 9 m and 73 cm9 \text{ m and } 73 \text{ cm}

  19. Convert 9 m9 \text{ m} to centimeters.

    9 m=9×100 cm=900 cm9 \text{ m} = 9 \times 100 \text{ cm} = 900 \text{ cm}
  20. Add the remaining centimeters.

    900 cm+73 cm=973 cm900 \text{ cm} + 73 \text{ cm} = 973 \text{ cm} 9 m and 73 cm=973 cm9 \text{ m and } 73 \text{ cm} = \boxed{\text{973 cm}}

    b) 7 m and 58 cm7 \text{ m and } 58 \text{ cm}

  21. Convert 7 m7 \text{ m} to centimeters.

    7 m=7×100 cm=700 cm7 \text{ m} = 7 \times 100 \text{ cm} = 700 \text{ cm}
  22. Add the remaining centimeters.

    700 cm+58 cm=758 cm700 \text{ cm} + 58 \text{ cm} = 758 \text{ cm} 7 m and 58 cm=758 cm7 \text{ m and } 58 \text{ cm} = \boxed{\text{758 cm}}

    c) 6 m and 91 cm6 \text{ m and } 91 \text{ cm}

  23. Convert 6 m6 \text{ m} to centimeters.

    6 m=6×100 cm=600 cm6 \text{ m} = 6 \times 100 \text{ cm} = 600 \text{ cm}
  24. Add the remaining centimeters.

    600 cm+91 cm=691 cm600 \text{ cm} + 91 \text{ cm} = 691 \text{ cm} 6 m and 91 cm=691 cm6 \text{ m and } 91 \text{ cm} = \boxed{\text{691 cm}}

    d) 4 m and 89 cm4 \text{ m and } 89 \text{ cm}

  25. Convert 4 m4 \text{ m} to centimeters.

    4 m=4×100 cm=400 cm4 \text{ m} = 4 \times 100 \text{ cm} = 400 \text{ cm}
  26. Add the remaining centimeters.

    400 cm+89 cm=489 cm400 \text{ cm} + 89 \text{ cm} = 489 \text{ cm} 4 m and 89 cm=489 cm4 \text{ m and } 89 \text{ cm} = \boxed{\text{489 cm}}

    e) 8 m and 62 cm8 \text{ m and } 62 \text{ cm}

  27. Convert 8 m8 \text{ m} to centimeters.

    8 m=8×100 cm=800 cm8 \text{ m} = 8 \times 100 \text{ cm} = 800 \text{ cm}
  28. Add the remaining centimeters.

    800 cm+62 cm=862 cm800 \text{ cm} + 62 \text{ cm} = 862 \text{ cm} 8 m and 62 cm=862 cm8 \text{ m and } 62 \text{ cm} = \boxed{\text{862 cm}}

    f) 5 m and 47 cm5 \text{ m and } 47 \text{ cm}

  29. Convert 5 m5 \text{ m} to centimeters.

    5 m=5×100 cm=500 cm5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}
  30. Add the remaining centimeters.

    500 cm+47 cm=547 cm500 \text{ cm} + 47 \text{ cm} = 547 \text{ cm} 5 m and 47 cm=547 cm5 \text{ m and } 47 \text{ cm} = \boxed{\text{547 cm}}
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