Math Practice Online: MathScore.com

Math Practice Online > free > lessons > New York > 7th grade > Weight Conversion

If your child needs math practice, click here.

For sample problems, click here.
Here are some tips for Weight Conversion, which aligns with New York state standards:

Weight Conversion


Here are useful units of measure to know

Length
Metric System English System
1 gram (g) = 1000 milligrams (mg) 1 pound (lb) = 16 ounces (oz)
1 kilogram (kg) = 1000 grams (g) 1 ton (T) = 2000 pounds (lb)
 
  1 kilogram (kg)  = 2.2046 pounds (lb)  


Example 1: Unit conversion (English system)

Do the following conversions. Round to nearest tenth where necessary.
80 oz = lb

We know that 1 pound (lb) = 16 ounces (oz) so
80 oz × = × =  5 lb 

So, 80 oz = lb


Example 2: Unit conversion (metric system)

Do the following conversions. Round to nearest tenth where necessary.
3 kg = g

We know that 1 kilogram (kg) = 1000 grams (g) so
3 kg × = × =  3000 g 

So, 3 kg = g


Example 3: Unit conversion (English and metric systems)

Do the following conversions. Round to nearest tenth where necessary.
1 ton = g

To convert between the two systems, we know that 1 kilogram (kg) = 2.2046 grams (g).
There are multiple steps:   tons --> pounds --> kilograms --> grams

Step 1:  Convert tons (T) to pounds (lb) by multiplying 2000 lb / 1 ton

1 ton ×
Step 2:  Convert pounds (lb) to kilogram (kg) by multiplying 1 kg / 2.2046 lb
1 ton × ×
Step 3:  Convert kilograms (kg) to grams (g) by multiplying 1000 g / 1 kg
1 ton× × ×
Step 4:  Solve the equation
1 ton × × × =
1  ton  × × × = 907,193.6 g

So, 1 ton = g

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.