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grade 5  free math games practice common core standards

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Compare and Convert Customary Units - Grade 5 - Practice with Math Games

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Practice converting between different customary units.

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The metric system is a system of measuring. It has three main units:

With those three simple measurements
we can measure nearly everything in the world!

Examples:

Meter

The length of this guitar is
about 1 meter:

When unfolded this ruler
measures 2 meters:

Kilogram

This gold bar has a mass
of 1 kilogram:

A dictionary also has a mass of
about 1 kilogram:

Second

1 second is about as long as it takes
to say "one thousand and one"

Larger or Smaller

But what if we want to talk about really big or really small things?

Answer: we can use Metric Number Prefixes

like "kilo" (a thousand)

and "milli" (one thousandth)

and so on

Examples:

something that is 1,000 meters is a " kilo meter"

a very short time of one thousandth of a second is a " milli second"

In fact the kilogram already uses this method, as it's a thousand grams, a kilo gram.

Here is a quick summary of the special prefixes:

Common Big and Small Numbers

Examples:

A thousand meters is a kilometer and abbreviated km (k for kilo, m for meter)

A million liters is a megaliter and abbreviated ML

A millionth of a second is a microsecond and abbreviated µs (µ is the greek symbol "mu")

These prefixes are used for computers too! A megabyte (MB) is a million bytes, a gigabyte (GB) is a billion bytes, etc.
How to remember?
For large values (each one a thousand times bigger) say:

"kilo mega giga tera"

And for small values (each one a thousand times smaller) say:

"milli micro nano pico"

Try saying them both a few times, they sort of rhyme and become easy to remember.

Making Other Units

We can also combine the meter, kilogram and second to make new Units of Measurement!

Example: Speed

Speed is how far something moves over a period of time

So it can be measured in meters per second

It means: How many meters does something travel in one second

We can write it as meters/second, or more simply m/s

Here are a few common units that are based on the meter, kilogram and second:

Area

Square Meter

Area is length by length, so the basic unit of area is a square that is 1 meter on each side, in other words one square meter.

The Unit is meters × meters, which is written

Volume:

Cubic Meter

Volume is length by length by length, so the basic unit of volume is a cube that is 1 meter on each side, in other words one cubic meter.

The Unit is meters × meters × meters, which is written

Liter

A cube that is 1 meter on each side is also equal to 1,000 liters.

1 m ³ = 1,000 Liters

Liter is abbreviated L (some people use lowercase l, but that looks too much like 1).

So a liter is actually one-thousandth of a cubic meter.

Another way of thinking about a liter is:

A box that is 0.1 meters (10 cm) on each side,

One square meter that is millimeter thick.

Time

Hour

An hour is 60 minutes, and a minute is 60 seconds, so an hour is:

Day

A day is 24 hours so:

1 day = 24 × 60 × 60 = 86,400 second

Speed

Speed in meters per second (m/s)

This is a combination of two units (meters and seconds) to make a new one (m/s).

If something is moving at 1 m/s it moves 1 meter every second.

Speed in kilometers per hour (km/h)

A kilometer has 1000 meters, and an hour has 3600 seconds, so a kilometer per hour is:

How did I know to make it 1000/3600, and not 3600/1000 (the other way around)? Read how to Safely Convert From One Unit to Another.

Acceleration

Acceleration is how fast velocity changes.

When a runner accelerates from 5 m/s (5 meter per second) to 6 m/s (6 meters per second) in just one second, they accelerate by 1 meter per second per second!

And yes, "per second" is used twice!
It can be thought of as (m/s)/s but is usually written m/s ²

Force

Force is usually measured in the Unit of Newtons, an important measurement in Physics and Engineering.

A Newton is how much force it takes to make 1 kg accelerate at .

1 Newton = 1 (one kilogram meter per second squared).

So force is actually based on the meter, kilogram and second.

So force is a combination of the three basic units.

SI

The Metric System had its beginnings back in 1670 by a mathematician called Gabriel Mouton.

The modern version, (since 1960) is correctly called "International System of Units" or "SI" (from the French "Système International").

So we should really call it " SI", but mostly people just call it "Metric".

A few special units are also needed to complete the SI System:

ampere for electric current,

kelvin for temperature,

mole for the amount of substance, and

candela for luminous intensity

So the complete list is:

All other units (such as speed, force, power and many more) are "derived units" that are defined using these seven base units.

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The metric system is a system of measuring. It has three main units: With those three simple measurements we can measure nearly everything in the world!

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Capacity Song For Kids ★ Measurement Video by NUMBEROCK

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Metric System Conversions Song | Measurement by NUMBEROCK