Worked Example 2: Ordering Decimal Numbers
Part of Place Value & Ordering — GCSE Mathematics
This study notes covers Worked Example 2: Ordering Decimal Numbers within Place Value & Ordering for GCSE Mathematics. Revise Place Value & Ordering in Number for GCSE Mathematics with 13 exam-style questions and 22 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 7 of 12 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 7 of 12
Practice
13 questions
Recall
22 flashcards
Worked Example 2: Ordering Decimal Numbers
Question: Put these numbers in order from smallest to largest: 4.56, 4.5, 4.065, 4.6
Step 1: Line up the decimal points and add zeros
Make all decimals the same length by adding zeros:
- 4.560 (same as 4.56)
- 4.500 (same as 4.5)
- 4.065
- 4.600 (same as 4.6)
Step 2: Compare column by column from left
| Number | Units | • | Tenths | Hundredths | Thousandths |
| 4.560 | 4 | • | 5 | 6 | 0 |
| 4.500 | 4 | • | 5 | 0 | 0 |
| 4.065 | 4 | • | 0 | 6 | 5 |
| 4.600 | 4 | • | 6 | 0 | 0 |
Units column: All have 4 (same)
Tenths column: 0 < 5 < 6, so 4.065 is smallest
For the rest: 4.500 < 4.560 < 4.600
Step 3: Write the final answer
Answer: 4.065, 4.5, 4.56, 4.6