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Length worksheet

Grades 5–6 · CCSS 5.MD.A.1, 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Length: 7
    • From: Inches (in)
    • To: Ångströms (Å)

    Find: In ångströms

  2. Problem 2.
    • Length: 6
    • From: Kilometers (km)
    • To: Feet (ft)

    Find: In feet

  3. Problem 3.
    • Length: 4
    • From: Nanometers (nm)
    • To: Decimeters (dm)

    Find: In decimeters

  4. Problem 4.
    • Length: 3
    • From: Decimeters (dm)
    • To: Feet (ft)

    Find: In feet

  5. Problem 5.
    • Length: 4
    • From: Kilometers (km)
    • To: Yards (yd)

    Find: In yards

  6. Problem 6.
    • Length: 6
    • From: Feet (ft)
    • To: Micrometers (µm)

    Find: In micrometers

  7. Problem 7.
    • Length: 4
    • From: Millimeters (mm)
    • To: Feet (ft)

    Find: In feet

  8. Problem 8.
    • Length: 4
    • From: Nanometers (nm)
    • To: Feet (ft)

    Find: In feet

  9. Problem 9.
    • Length: 6
    • From: Inches (in)
    • To: Miles (mi)

    Find: In miles

  10. Problem 10.
    • Length: 7
    • From: Millimeters (mm)
    • To: Inches (in)

    Find: In inches

Answer key: Length worksheet

  1. 1. In ångströms: 1,778,000,000 Å

    1. Change to meters first, because every unit is measured against the meter. 1 in = 0.0254 m, so multiply

      7 in×0.0254=0.1778 m
    2. Now change the meters into ångströms. 1 Å = 0.0000000001 m, so divide

      0.1778 m0.0000000001=1,777,999,999.9999998 Å
  2. 2. In feet: 19,685.04 ft

    1. Change to meters first, because every unit is measured against the meter. 1 km = 1,000 m, so multiply

      6 km×1,000=6,000 m
    2. Now change the meters into feet. 1 ft = 0.3048 m, so divide

      6,000 m0.3048=19,685.0393700787 ft
  3. 3. In decimeters: 4e-8 dm

    1. Change to meters first, because every unit is measured against the meter. 1 nm = 0.000000001 m, so multiply

      4 nm×0.000000001=0.000000004 m
    2. Now change the meters into decimeters. 1 dm = 0.1 m, so divide

      0.000000004 m0.1=0.00000004 dm
  4. 4. In feet: 0.98 ft

    1. Change to meters first, because every unit is measured against the meter. 1 dm = 0.1 m, so multiply

      3 dm×0.1=0.3 m
    2. Now change the meters into feet. 1 ft = 0.3048 m, so divide

      0.3 m0.3048=0.9842519685 ft
  5. 5. In yards: 4,374.45 yd

    1. Change to meters first, because every unit is measured against the meter. 1 km = 1,000 m, so multiply

      4 km×1,000=4,000 m
    2. Now change the meters into yards. 1 yd = 0.9144 m, so divide

      4,000 m0.9144=4,374.4531933508 yd
  6. 6. In micrometers: 1,828,800 µm

    1. Change to meters first, because every unit is measured against the meter. 1 ft = 0.3048 m, so multiply

      6 ft×0.3048=1.8288 m
    2. Now change the meters into micrometers. 1 µm = 0.000001 m, so divide

      1.8288 m0.000001=1,828,800.0000000002 µm
  7. 7. In feet: 0.01 ft

    1. Change to meters first, because every unit is measured against the meter. 1 mm = 0.001 m, so multiply

      4 mm×0.001=0.004 m
    2. Now change the meters into feet. 1 ft = 0.3048 m, so divide

      0.004 m0.3048=0.0131233596 ft
  8. 8. In feet: 1.31e-8 ft

    1. Change to meters first, because every unit is measured against the meter. 1 nm = 0.000000001 m, so multiply

      4 nm×0.000000001=0.000000004 m
    2. Now change the meters into feet. 1 ft = 0.3048 m, so divide

      0.000000004 m0.3048=0.0000000131 ft
  9. 9. In miles: 9.47e-5 mi

    1. Change to meters first, because every unit is measured against the meter. 1 in = 0.0254 m, so multiply

      6 in×0.0254=0.1524 m
    2. Now change the meters into miles. 1 mi = 1,609.344 m, so divide

      0.1524 m1,609.344=0.000094697 mi
  10. 10. In inches: 0.28 in

    1. Change to meters first, because every unit is measured against the meter. 1 mm = 0.001 m, so multiply

      7 mm×0.001=0.007 m
    2. Now change the meters into inches. 1 in = 0.0254 m, so divide

      0.007 m0.0254=0.2755905512 in