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Time Unit worksheet

Grades 4–5 · CCSS 4.MD.A.1, 5.MD.A.1

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

  1. Problem 1.
    • Time: 125
    • From: Months (average) (mo)
    • To: Milliseconds (ms)

    Find: In milliseconds

  2. Problem 2.
    • Time: 100
    • From: Months (average) (mo)
    • To: Years (Gregorian average) (yr)

    Find: In years (gregorian average)

  3. Problem 3.
    • Time: 72
    • From: Seconds (s)
    • To: Days (d)

    Find: In days

  4. Problem 4.
    • Time: 60
    • From: Hours (h)
    • To: Years (Gregorian average) (yr)

    Find: In years (gregorian average)

  5. Problem 5.
    • Time: 80
    • From: Weeks (wk)
    • To: Years (Gregorian average) (yr)

    Find: In years (gregorian average)

  6. Problem 6.
    • Time: 110
    • From: Years (Gregorian average) (yr)
    • To: Seconds (s)

    Find: In seconds

  7. Problem 7.
    • Time: 72
    • From: Minutes (min)
    • To: Years (Gregorian average) (yr)

    Find: In years (gregorian average)

  8. Problem 8.
    • Time: 74
    • From: Seconds (s)
    • To: Years (Gregorian average) (yr)

    Find: In years (gregorian average)

  9. Problem 9.
    • Time: 105
    • From: Months (average) (mo)
    • To: Decades (decades)

    Find: In decades

  10. Problem 10.
    • Time: 130
    • From: Hours (h)
    • To: Months (average) (mo)

    Find: In months (average)

Answer key: Time Unit worksheet

  1. 1. In milliseconds: 328,718,250,000 ms

    1. First change to seconds, the shared unit: 1 average month = 2,629,746 s, so multiply

      125 mo×2,629,746=328,718,250 s
    2. Then change to milliseconds: 1 millisecond = 0.001 s, so divide by that

      328,718,250 s0.001=328,718,250,000 ms
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      328,718,250 s=91,310 h 37 min 30 s=91,310:37:30
    4. Take whole days (24 hours each) out of the hours as well

      91,310 h=3,804 d 14 h=3,804 d 14 h 37 min 30 s
  2. 2. In years (gregorian average): 8.33 yr

    1. First change to seconds, the shared unit: 1 average month = 2,629,746 s, so multiply

      100 mo×2,629,746=262,974,600 s
    2. Then change to years (gregorian average): 1 average year = 31,556,952 s, so divide by that

      262,974,600 s31,556,952=8.3333333333 yr
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      262,974,600 s=73,048 h 30 min 0 s=73,048:30:00
    4. Take whole days (24 hours each) out of the hours as well

      73,048 h=3,043 d 16 h=3,043 d 16 h 30 min 0 s
  3. 3. In days: 8.33e-4 d

    1. Then change to days: 1 day = 86,400 s, so divide by that

      72 s86,400=0.0008333333 d
    2. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      72 s=0 h 1 min 12 s=0:01:12
    3. Take whole days (24 hours each) out of the hours as well

      0 h=0 d 0 h=0 d 0 h 1 min 12 s
  4. 4. In years (gregorian average): 6.84e-3 yr

    1. First change to seconds, the shared unit: 1 hour = 3,600 s, so multiply

      60 h×3,600=216,000 s
    2. Then change to years (gregorian average): 1 average year = 31,556,952 s, so divide by that

      216,000 s31,556,952=0.0068447675 yr
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      216,000 s=60 h 0 min 0 s=60:00:00
    4. Take whole days (24 hours each) out of the hours as well

      60 h=2 d 12 h=2 d 12 h 0 min 0 s
  5. 5. In years (gregorian average): 1.53 yr

    1. First change to seconds, the shared unit: 1 week = 604,800 s, so multiply

      80 wk×604,800=48,384,000 s
    2. Then change to years (gregorian average): 1 average year = 31,556,952 s, so divide by that

      48,384,000 s31,556,952=1.5332279239 yr
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      48,384,000 s=13,440 h 0 min 0 s=13,440:00:00
    4. Take whole days (24 hours each) out of the hours as well

      13,440 h=560 d 0 h=560 d 0 h 0 min 0 s
  6. 6. In seconds: 3,471,264,720 s

    1. First change to seconds, the shared unit: 1 average year = 31,556,952 s, so multiply

      110 yr×31,556,952=3,471,264,720 s
    2. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      3,471,264,720 s=964,240 h 12 min 0 s=964,240:12:00
    3. Take whole days (24 hours each) out of the hours as well

      964,240 h=40,176 d 16 h=40,176 d 16 h 12 min 0 s
  7. 7. In years (gregorian average): 1.37e-4 yr

    1. First change to seconds, the shared unit: 1 minute = 60 s, so multiply

      72 min×60=4,320 s
    2. Then change to years (gregorian average): 1 average year = 31,556,952 s, so divide by that

      4,320 s31,556,952=0.0001368954 yr
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      4,320 s=1 h 12 min 0 s=1:12:00
    4. Take whole days (24 hours each) out of the hours as well

      1 h=0 d 1 h=0 d 1 h 12 min 0 s
  8. 8. In years (gregorian average): 2.34e-6 yr

    1. Then change to years (gregorian average): 1 average year = 31,556,952 s, so divide by that

      74 s31,556,952=0.000002345 yr
    2. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      74 s=0 h 1 min 14 s=0:01:14
    3. Take whole days (24 hours each) out of the hours as well

      0 h=0 d 0 h=0 d 0 h 1 min 14 s
  9. 9. In decades: 0.88 decades

    1. First change to seconds, the shared unit: 1 average month = 2,629,746 s, so multiply

      105 mo×2,629,746=276,123,330 s
    2. Then change to decades: 1 decade = 315,569,520 s, so divide by that

      276,123,330 s315,569,520=0.875 decades
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      276,123,330 s=76,700 h 55 min 30 s=76,700:55:30
    4. Take whole days (24 hours each) out of the hours as well

      76,700 h=3,195 d 20 h=3,195 d 20 h 55 min 30 s
  10. 10. In months (average): 0.18 mo

    1. First change to seconds, the shared unit: 1 hour = 3,600 s, so multiply

      130 h×3,600=468,000 s
    2. Then change to months (average): 1 average month = 2,629,746 s, so divide by that

      468,000 s2,629,746=0.1779639555 mo
    3. Split the total seconds into whole hours, then whole minutes, then the seconds left over

      468,000 s=130 h 0 min 0 s=130:00:00
    4. Take whole days (24 hours each) out of the hours as well

      130 h=5 d 10 h=5 d 10 h 0 min 0 s