11+ Maths: Comparing and Ordering Large Numbers (A/B)
26 October 2026
Comparing and ordering large numbers
Comparing and ordering large numbers is part of the 11+ maths exam. Understanding place value helps children decide which numbers are greater or smaller.
Why place value matters
Place value shows the size of each digit in a number. When comparing large numbers, always start with the digit in the highest place, such as millions or hundred thousands.
Key insight: Compare digits from left to right
Begin with the leftmost digit. If they are the same, move to the next digit until you find a difference. This method helps avoid mistakes.
Worked example
Compare the numbers 5,476,320 and 5,471,890.
Step 1: Look at the millions place. Both numbers have 5 million, so move to the hundred thousands.
Step 2: Both numbers have 4 hundred thousand. Move to the ten thousands.
Step 3: Both have 7 ten thousand. Move to the thousands.
Step 4: The first number has 6 thousand, the second has 1 thousand. 6 thousand is greater than 1 thousand, so 5,476,320 is larger.
Result: 5,476,320 is greater than 5,471,890.
Ordering a list of large numbers
To order several large numbers, compare them in pairs using the same left-to-right method. Write the numbers in order from smallest to largest, or as the question asks.
Common mistakes to watch for
Children may compare only the first digit or get confused by the number of digits. Remind your child to check every place value and count the digits if needed.
Building confidence with practice
Regular practice with different examples helps children spot patterns and compare numbers more quickly. Using real-life numbers, such as population figures, can make practice more interesting.
