Primary 5 Foundation maths · Whole numbers · About 12 minutes
Compare, order and continue patterns within 100000
Line up the place-value columns. Find the first difference from the left.
Start the interactive lesson →Practise: Number-order trail
What you will learn
- Compare, order and continue patterns within 100000
Models used: number sentences, stories, tables.
Before you start
Look at the biggest groups first
Compare 32 and 28. Each long row represents a group of ten.
The number at the top of each column is the value of one counter in that column.
Compare 32 and 28. Each long row represents a group of ten.
A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.
The number at the top of each column is the value of one counter in that column.
32 has three tens. 28 has only two tens. Those tens decide the comparison.
A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.
Both bars use the same scale. Compare their lengths and read the names beside them.
Even though 8 is more than 2, 28 is less than 32. Compare the tens before the ones.
28 < 32
What did the picture help us see?
Even though 8 is more than 2, 28 is less than 32. Compare the tens before the ones.
Worked example: A new example, together
Put 12076, 52799, 53763 in increasing order.
| Numbers |
|---|
| 12076 |
| 52799 |
| 53763 |
Compare place values. Read each value with the heading above its column.
Line up the place-value columns. Find the first difference from the left.
Increasing order lists each value from smallest to greatest.
Compare place values Numbers 12076 52799 53763 Compare place values. Read each value with the heading above its column.
Compare the greatest place first.
Compare place values Numbers 12076 52799 53763 Put 12076, 52799, 53763 in increasing order.
12076, 52799, 53763
Compare place values. Read each value with the heading above its column.
Continue through smaller places when digits match.
Compare place values Numbers 12076 52799 53763 Compare place values. Read each value with the heading above its column.
Smallest to greatest: 12076, 52799, 53763.
Compare place values Numbers 12076 52799 53763 Compare place values. Read each value with the heading above its column.
Check the result against the question we started with.
Each next number is at least as large as the previous number.
We found 12076, 52799, 53763. Increasing order lists each value from smallest to greatest.
Compare place values Numbers 12076 52799 53763
Common mistakes to discuss
- Testing one gap only. A rule must fit every neighbouring pair. 2, 4, 8 could add 2 then 4, or double; check a third term before deciding.
Check your understanding
- Compare, order and continue patterns within 100000
- justify a comparison with place value
- check the answer against the original quantities and units
Explain your reasoning to an adult, then try a fresh question in the interactive lesson. A result from one attempt is not proof of lasting mastery.
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