Application icon

Units of measurement

Estimate length (mm, cm, m, km)

Copy link to this topic. expand learning text

Metric units of length

Millimeters (mm):

We can use millimeters to measure things like the width of a small button, the length of an insect, or the size of tiny beads on a necklace.

Centimeters (1 cm=10 mm):

Centimeters are handy for measuring things that are a bit larger. For example, you can measure the length of your crayon, the width of a small toy car, or the height of your favorite action figure.

Meters (1 m = 100 cm):

Meters are great for bigger measurements. You can use meters to measure how tall you are, the length of your classroom, or the width of a soccer field.

Kilometers (1 km = 1000 m):

Kilometers are used for really long distances. You might use kilometers to measure the distance between your home and school, the length of a hiking trail, or the distance between cities on a map.

So, millimeters are for tiny things, centimeters for small things, meters for medium-sized things, and kilometers for really big things!

-----------------------------

All emojis designed by OpenMoji (https://openmoji.org/) – the open-source emoji and icon project. License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/#)



Estimate mass (lb, oz)

Copy link to this topic. expand learning text

Units of mass

Ounces (oz):

Ounces are used to measure the mass of small things. You can use ounces to measure the mass of a small toy, a piece of candy, or the weight of your favorite snack. It helps you understand how heavy or light things are.

Pounds (lb):

Pounds are larger than ounces and are great for measuring the weight of bigger things. For example, you can use pounds to measure the weight of your pet hamster, a backpack, or a bag of flour in the kitchen. So, ounces are for small, light things, and pounds are for heavier, larger objects. It's like having different tools for measuring the weight of things, depending on whether they are tiny or bigger.

-----------------------------

All emojis designed by OpenMoji (https://openmoji.org/) – the open-source emoji and icon project. License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/#)



Convert units of time (seconds and minutes)

Copy link to this topic. expand learning text

Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min

hmins÷60÷60×60×60

1.5 h = $1{1/2}$h = 1 h 30 min
1 h = 60 × 60 s= 3600 s


Convert units of time (seconds, minutes and hours)

Copy link to this topic. expand learning text

Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min

hmins÷60÷60×60×60

1.5 h = $1{1/2}$h = 1 h 30 min
1 h = 60 × 60 s= 3600 s


Convert units of time (months)

Copy link to this topic. expand learning text

Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min

hmins÷60÷60×60×60

1.5 h = $1{1/2}$h = 1 h 30 min
1 h = 60 × 60 s= 3600 s

day = 24 h
week = 7 days (Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday)

month = from 28 to 31 days
MonthNumber of days
January31
February28 or 29
March31
April30
May31
June30
July31
August31
September30
October31
November30
December31

year = 12 months = 365 days = 52 weeks 1 day
leap year = 12 months = 366 days = 52 weeks 2 days

A leap year is a year in which an extra day is added to the calendar in order to synchronize it with the seasons. In leap years, February 29th is added as leap day, which doesn't exist in a normal year (February has normally 28 days). A leap year occurs every 4 years - the year has to be evenly divided by 4 (2004, 2008, 2012), but not by 100 (1800, 1900, 2100). However, if it is divisible by 400, it's again a leap year (2000).



Convert metric units of length (cm, dm, m)

Copy link to this topic. expand learning text

Metric units of length


m... meter
dm... decimeter
cm... centimeter

1 m = 100 cm = 10 dm
1 dm = 10 cm
mdmcm÷10÷10×10×101 m1 m10 dm100 cm50 cm5 dm10 cm1 dm5 cm


Convert metric units of length (easy)

Copy link to this topic. expand learning text

Metric units of length


1 cm (centimeter) = 10 mm (millimeter)
1 dm (decimeter) = 10 cm
1 m (meter) = 100 cm = 10 dm
1 km (kilometer)= 1000 m
kmmdmcmmm÷10÷10÷10÷1000×1000×10×10×10


Convert metric units of length (medium)

Copy link to this topic. expand learning text

Metric units of length


1 cm (centimeter) = 10 mm (millimeter)
1 dm (decimeter) = 10 cm
1 m (meter) = 100 cm = 10 dm
1 km (kilometer)= 1000 m
kmmdmcmmm÷10÷10÷10÷1000×1000×10×10×10


Convert metric units of length (difficult)

Copy link to this topic. expand learning text

Metric units of length


1 cm (centimeter) = 10 mm (millimeter)
1 dm (decimeter) = 10 cm
1 m (meter) = 100 cm = 10 dm
1 km (kilometer)= 1000 m
kmmdmcmmm÷10÷10÷10÷1000×1000×10×10×10


Convert and compare US units of length (inches, feet, yards)

Copy link to this topic. expand learning text

Customary units of length

1 yard (yd)= 3 feet (ft) = 36 inches (in)1 foot = 12 inches1 inch (in)

1 inch (in) = 2.54 centimeters (cm)
1 foot (ft or ′) = 12 in = 30.48 cm
1 yard (yd) = 3 ft = 36 in = 0.91 meter (m)
1 mile (mi)= 1760 yd = 1.6 kilometer (km)



Convert metric units of area

Copy link to this topic. expand learning text

Metric units of area

1 cm2 = 10 mm × 10 mm = 100 mm2
1 dm2 = 10 cm × 10 cm = 100 cm2

1 m1 dm1 dm²1 m²

1 m2 = 10 dm × 10 dm = 100 dm2 = 10000 cm2
1 km2 = 1000 m × 1000 m = 1000000 m2

kmmdmcmmm÷10÷10÷10÷1000km²m²dm²cm²mm²÷100÷100÷100÷1000000


Convert and compare units of mass (kg and g)

Copy link to this topic. expand learning text

Metric units of mass

1 g (gram) = 1000 mg (milligram)
1 kg (kilogram)= 1000 g
1 t (ton) = 1000 kg

tkggmg÷1000÷1000÷1000×1000×1000×1000

1 dkg (dekagram) =10 g
1 kg (kilogram)= 1000 g = 100 dkg



Convert and compare US units of mass (ounces and pounds)

Copy link to this topic. expand learning text

Customary units of mass

1 pound (lb) = 16 ounces (oz) ≅ 0.45 kilogram (kg)
1 oz ≅ 28 grams (g)
1.5 lb = 16 + 8 = 24 oz
$1/2$ lb = 8 oz



Convert and compare units of capacity (l and hl)

Copy link to this topic. expand learning text

l (L)... liter
hl (hL)... hectoliter

1 hl =100 l
hlldlclml÷10÷10÷10÷100×100×10×10×10


Convert and compare units of capacity (l and ml)

Copy link to this topic. expand learning text

l (L)... liter
ml (mL)... milliliter

1 l =1000 ml
hlldlclml÷10÷10÷10÷100×100×10×10×10


Metric units of measurement as decimals (easy)

Copy link to this topic.


Convert metric units of speed

Copy link to this topic. expand learning text

Speed Unit Conversion

Speed is measured as the distance travelled per unit of time. For example, if a car travels at 40 km/h, it means that it travels 40 km every hour (40 km in one hour, 80 km in two hours, 120 km in three hours, etc.). A commonly used unit in the United States is mph (miles per hour). Since speed is expressed as a combination of two units (distance divided by time), when converting between different units of speed, we need to pay attention to both units — distance and time — and determine how to convert each of them.

If we are moving at 2 m/s, it means that every second we travel 2 metres. How many metres will we travel in one hour? One hour has 3600 seconds.

$$2;m/s=$$
$$=2×3600=7200;m/h$$

In one hour, we will travel 7200 m. And how many kilometres will we travel in one hour? We know that 1 km is equal to 1000 m.

$$7200;m/h=7.2;km/h$$

If a car is moving at 90 km/h, how many metres per second does it travel? In this case, we have to multiply 90 by 1000 to convert kilometres to metres (90 km = 90000 m). At the same time, we have to divide by 3600 because one hour has 3600 seconds:

$$90;km/h={90000;m}/{3600;s}=$$
$$=25;m/s$$

So the car is travelling at 25 m/s. But what is its speed in km/min? As we know, one hour has 60 minutes. This means that in one minute it travels:

$$90;km/h=$$
$$={90;km}/{60;min}=1.5;km/min$$


Download on Google Play   Download on App Store  
Download on Google Play   Download on App Store  
Best maths resources award