Ordering whole numbers

Place values are used to order whole numbers.

Example

Which of the following four sportspeople earns more in a week?

  • Player A - £310,500
  • Player B - £309,500
  • Player C - £295,500
  • Player D - £315,500

First, put each sportsperson’s salary into a place value table.

Hundred thousandsTen thousandsThousandsHundredsTensUnits
Player A310500
Player B309500
Player C295500
Player D315500

Next, look at each column in turn from the left:

  • the smallest digit in the hundred thousands column is 2, so Player C earns the lowest amount
  • the smallest digit in the ten thousands column is 0, so Player B earns less than Players A and D
  • the smallest digit in the thousands column is 0, so Player A earns less than Player D

From highest to lowest, the order is:

  1. Player D - £315,500
  2. Player A - £310,500
  3. Player B - £309,500
  4. Player C - £295,500
Sportspeople ranked by descending salary amount
Question

Put the following numbers in order from smallest to largest:

  1. 42,300
  2. 43,290
  3. 42,350
  4. 43,200
  5. 42,250
Ten thousandsThousandsHundredsTensUnits
42300
43290
42350
43200
42250

The numbers in order from smallest to largest are:

  1. 42,250
  2. 42,300
  3. 42,350
  4. 43,200
  5. 43,290

Inequality symbols

curriculum-key-fact
Inequality symbols can be used to compare the size of numbers.
SymbolDefinition
>Greater than - the wider part of the inequality sign faces the larger number.
<Less than - the wider part of the inequality sign faces the larger number.
Greater than or equal to - the wider part of the inequality sign faces the larger number.
Less than or equal to - the wider part of the inequality sign faces the larger number.

4,000 \textgreater 3,900 means 4,000 is greater than 3,900.

3,900 \textless 4,000 means 3,900 is less than 4,000.