Ordering Integers
To compare two integers, start from the left. The first digit that differs tells you which number is larger.
On a number line, numbers get bigger as you move to the right. We use the symbols (less than) and (greater than) to compare two numbers.
When comparing integers with different numbers of digits, the one with more digits is always larger. When they have the same number of digits, compare column by column from the left until a digit differs.
Try it on the number line below. Enter two numbers, press Compare, and see which is further to the right.
Watch it work
Question: Put these numbers in order from smallest to largest: , , .
Step 1: has five digits while the other two have four digits. So is the largest.
Step 2: Compare and . The thousands digit (4) is the same. The hundreds digit: 3 = 3. The tens digit: 7 vs 2. Since , we have .
Step 3: In ascending order: .
Have a go
Q1. Insert or : .
Both start 5,6... The tens digit: 8 vs 1. Since , the first number is larger.
Q2. Order from smallest to largest: , , .
has four digits so it is the largest. Compare and : hundreds both 9, tens 8 vs 2, so .
Q3. Write a number that is between and .
Any number from to would work.
Any of (for example ).
Q4. True or false: ?
has five digits and has four digits. More digits means a larger number (for positive integers).
True.