By failing to prepare, you are preparing to fail.
Converting Units2020-12-31T21:00:12+10:00

Timetable › Forums › Standard › Measurement › Converting Units

Tagged: , , , ,

Viewing 8 posts - 1 through 8 (of 8 total)
  • Author
    Posts
  • Admin
    Keymaster
    July 8, 2018 at 5:13 pm
    Post count: 1622
    #13942

    Converting  Units

     Unit
     Large → Small ×
    Small → Large ÷
    1 km = 100 0m  km → m × 1000 km → m × 1000
    1 m = 100 cm m → cm × 100 cm → m ÷ 100
    1 m = 1000 mm m → mm × 1000 mm → m ÷ 1000
    1 cm = 10 mm cm → mm × 10 mm → cm ÷ 10
    1 kg = 1000 g kg → g × 1000 g → kg ÷ 1000
    1 t = 1000 kg t → kg × 1000 kg → t ÷ 1000
    1 g = 1000 mg g → mg × 1000 g → mg × 1000
    1 L = 1000 ml L → ml × 1000 ml → L ÷ 1000
    1 ml = 1 cm3 ml → cm3 × 1 cm3 → ml ÷ 1
    1 kL = 1000 L kL → L × 1000 kL → L × 1000
    1 L = 1000 cm3 L → cm3 × 1000 cm3 → L ÷ 1000
    1 ML = 1 000 000 L ML → L × 1,000,000 L → ML ÷ 1,000,000
    1 m3 = 1000 L m3 → L × 1000 L → m3 ÷ 1000
    1 km2 = 10002 m2 km2 → m2 × 10002 m2 → km2 ÷ 10002
    1 m2 = 1002 cm2 m2 → cm2 × 1002 cm2 → m2 ÷ 1002
    1 m2 = 10002 mm2 m2 → mm2 × 10002 m2 → mm2 ÷ 10002
    1 cm2 = 102 mm2 cm2 → mm2 × 102 mm2 → cm2 ÷ 102
    1 ha = 10 000 m2 ha → m2 × 10,000 m2 → ha ÷ 10,000
    1 km2 = 100 ha km2 → ha × 100 ha → km2 ÷ 100
    1 km3 = 10003 m3 km3 →  m3 × 10003 m3 → km3 ÷ 10003
    1 m3 = 1003c m3 m3 → cm3 × 1003 cm3 → m3 ÷ 1003
    1 m3 = 10003 mm3 m3 → mm3 × 10003 mm3 →m3 ÷ 10003
    1 cm3 = 103 mm3 cm3 → mm3 × 103 mm3 → cm3 ÷ 103
    1 yr = 365 days yr → d × 365 d → y ÷ 365
    leap yr = 366 days yr → d × 366 d → y ÷ 366
    1yr = 52 wks yr → wk × 52 wk → yr ÷ 52
    1 yr = 26 fortnights yr → fn × 26 fn → yr ÷ 26
    1 wk = 7 days wk → d × 7 d → wk ÷ 7
    1 day = 24 hours d → hr × 24 hr → d ÷ 24
    1 hr = 60 mins hr → min × 60 hr → min × 60
    1 min = 60 secs min → sec × 60 sec → min ÷ 60
    1 hr = 3600 secs hr → sec × 3600 sec → hr ÷ 3600

    Metric Units Prefixes

    Prefix
    Symbol
    Factor
    Numerically
    Name
    tera T 1012 1 000 000 000 000 trillion
    giga G 109 1 000 000 000 billion
    mega M 106 1 000 000 million
    kilo k 103 1 000 thousand
    centi c 10-2 0.01 hundredth
    milli m 10-3 0.001 thousandth
    micro μ 10-6 0.000 001 millionth
    nano n 10-9 0.000 000 001 billionth
    Converting km/h & m/s

    km/h → m/s: × 1000 ÷ 60 ÷ 60

    m/s → km/h: ÷ 1000 × 60 × 60

    Admin
    Keymaster
    December 31, 2020 at 8:24 pm
    Post count: 1622
    #18775

    Convert 2 km to cm.

    km → m → cm

    2 × 1000 × 100 = 200 000cm

    Admin
    Keymaster
    December 31, 2020 at 8:25 pm
    Post count: 1622
    #18777
    Convert 5 m3 to cm3.
    5 × 1003 = 5 000 000 cm3 there are 100cm in 1 m
    so there are 1003 cm3  in 1m3
    to convert from larger units to smaller: multiply by 1003
    Admin
    Keymaster
    December 31, 2020 at 8:27 pm
    Post count: 1622
    #18778
    Convert 5 m2 to cm2.
    5 × 1002 = 50 000 cm2 there are 100 cm in 1 m so there are 1002 cm2  in 1m2 to convert from larger units to smaller: multiply by 1002
    Admin
    Keymaster
    December 31, 2020 at 8:34 pm
    Post count: 1622
    #18781
    Convert  8.47 × 108g to tonnes.
     8.47 × 108 ÷ 1000 = 847 000kg we are going from small units to large units, so we are dividing. first, convert from grams to kilograms (kg) by dividing by 1000 as 1 kg = 1000 g
    847 000 ÷ 1000 = 847 t convert the kg to tonnes by dividing by 1000 as 1t = 1000 kg
    Admin
    Keymaster
    December 31, 2020 at 9:01 pm
    Post count: 1622
    #18792
     Convert 50 m/s into km/h.
     50 ÷ 1000 × 60 × 60
    = 180 km/h    		 To convert from metres per second into kilometres per hour we need to first convert the metres into kilometres. We do this by dividing by 1000. then we multiply by 60 to convert to per minute and then multiply by 60 again to convert to per hour.
    Admin
    Keymaster
    December 31, 2020 at 9:01 pm
    Post count: 1622
    #18794
    Convert 60 km/h into m/s.
    60 × 1000 ÷ 60 ÷ 60
    = 16.667 m/s    		 To convert from kilometres per hour to metres per second we need to first convert the kilometres into metres. We do this by multiplying by 1000. Then we divide by 60 to convert to per minute and then divide by 60 again to convert to per second.
    Admin
    Keymaster
    December 31, 2020 at 9:02 pm
    Post count: 1622
    #18795
    Convert 100 km/h into m/s.
    100 × 1000  ÷ 60  ÷ 60
    = 27.8 m/s    		 To convert from kilometres per hour to metres per second we need to first convert the kilometres into metres. We do this by multiplying by 1000. Then we divide by 60 to convert to per minute and then divide by 60 again to convert to per second.
  • Author
    Posts
Viewing 8 posts - 1 through 8 (of 8 total)
  • You must be logged in to reply to this topic.

maths made easy

copyright © 1995 – 2025

Privacy Policy

ABN: 86 396 190 036

Show Buttons
Hide Buttons
Go to Top