Representing, Comparing and Ordering Decimals

Representing, Comparing, and Ordering Decimals

We are learning to represent, compare and order decimals in math. Here is a recap of these skills and some practise math for you to work on. 

Decimals are a part of a whole. Like (.10 cents is part of 1.00, 10 cm is part of a metre, 30 secs is part of a minute.)

Representing Decimals - We can represent decimals using base 10 materials

We need to determine what the whole number is first. In this case we use the flat (100) to represent the whole. 

To represent 0.231 this is what we would do 

Comparing decimals we need to determine which decimal is greater. We can decide this by representing them using base 10 first. 

Now look at the tenths column which one is greater? In this case both are same. 
Now go the hundredths column, which one is greater? In this case both are same again. 
So now move to the thousandths column and the first number is greater than the second number. 
Therefore 0.364 is greater than 0.362 

Ordering decimals - we need to order the decimals on a number line. First we have to understand what the decimals look like on a number line. We have magnified the number lines in each case so the highlighted part of the number line is where the next set of numbers would go. 

Now try this:

1. Represent these decimals using base 10. 
2. Compare these decimals using base 10. Which one is greater?
3. Order these decimals on a number line. 

a) 0.51,   0.45,    0.32,   0.49,   0.38

b) 0.222,   0.456,    0.567,   0.254,  0.314

c) 0.33,  0.21,  0.53,   0.76,  0.67

d) 0.123, 0.322,  0.451,  0.411,  0.576