# 1.4.1 Order by Size

### 1.4.1 Order by Size

#### Putting numbers into order – isn’t this easy?

• Yes! Until the numbers start including a mixture of fractionsdecimals and/or percentages
• There could also be numbers written as powers/indices and (square/cube) roots included too
• Then there is the use of mathematical inequality symbols too:
•  not equal to
• < less than
• ≤ less than or equal to
• > greater than
• ≥ greater than or equal to

• To arrange numbers in order they all need to be written in the same format
• Usually, decimals are the easiest to compare
• Before continuing make sure you can convert:
• fractions to decimals
• percentages to decimals

• For more awkward cases you may need to use a calculator

#### How do I put decimals in order?

• The easiest way is to compare the numbers digit by digit
• Write the numbers one underneath the other, in neat, lined up columns
• Reveal each number one digit at a time, from the left
(ie highest place value first)
• Make a note of the order as you go

#### Summary

• STEP 1  Convert all values to decimals
• STEP 2  Write as a neat column with digits lined up
• STEP 3  Reveal one digit at a time and order them when possible
• STEP 4  Write decimals in order
• STEP 5  Write final answer using numbers in their original format

#### Exam Tip

Questions may use the words ascending or descending to describe the order.

Ascending means “upwards” – so increasing in size, ie. start with the smallest, finish with the largest. Descending means “downwards” – so decreasing in size,