Solve Problems Converting Measurements with up to Three Decimal Places

In this activity, we're going to be solving problems involving calculating and converting different units of measure.

We'll be using mass, capacity, length, volume and time.

 

Some of the questions and answers will involve using up to 3 decimal places.

 

Information that will help - we need to know all of this information.

 

1,000 g = 1 kg

1,000 ml = 1 l

10 mm = 1 cm

100 cm = 1 m

1,000 m = 1 km

Volume is measured in cubic units (cm³, m³)

 

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

 

Remember, when we multiply or divide by a multiple of 10, all the digits move to the left or right; the decimal point does not move!

 

 

Let's look at an example of the type of question in this activity:

 

John has a 3.055 m length of rope.

He cuts off 125 cm to make a skipping rope.

In metres, how much rope is left?

 

  

 

Answer

First, we convert 3.055 m to cm (x by 100)

3.055 x 100 = 305.5 cm

305.5 cm - 125 cm = 180.5 cm 

To convert from cm to m, we need to divide by 100 

180.5 ÷ 100 = 1.805 m

The length of the leftover rope 1.805 m

 

Now it's your turn - good luck!