Understanding Place Value
Read, write, identify and compare the value of digits in whole numbers up to millions — comprehensive practice worksheet
📋 Stuck on a question? Each question maps directly to the Understanding Place Value lesson on your course.
Specification Coverage
- Identify the value of any digit in a whole number up to millions
- Read and write large numbers in digits and in words
- Write numbers in expanded form and reconstruct numbers from expanded form
- Understand the role of zero as a placeholder in large numbers
- Compare and order large whole numbers using < and > symbols
- Apply place value understanding to real-life and multi-step problems
Place Value Reference Chart
| Millions |
Thousands |
Units |
Millions M |
Hundred- Thousands H-Th |
Ten- Thousands T-Th |
Thousands Th |
Hundreds H |
Tens T |
Units U |
| 1,000,000 | 100,000 | 10,000 | 1,000 | 100 | 10 | 1 |
| 4 | 8 | 2 | 7 | 3 | 5 | 0 |
The number shown is 4,827,350. The digit 8 is in the hundred-thousands column — its value is 800,000.
Section A — Foundation Skills
Q1.
Write the number five million, two hundred and forty-three thousand and sixty-one using digits.
[1 Mark]Non-Calc
Show your working here
Q2.
Write the number 3,706,042 in words.
[1 Mark]Non-Calc
Show your working here
Q3.
Write down the value of the digit 8 in the number 4,827,350.
[1 Mark]Non-Calc
Show your working here
Q4.
In the number 6,283,419, which digit is in the hundred-thousands column?
[1 Mark]Non-Calc
Show your working here
Q5.
Write the number seven million, four hundred and five thousand and sixty-three in expanded form.
Example: 4,027 = 4,000 + 20 + 7
[1 Mark]Non-Calc
Show your working here
Q6.
What number does this expanded form represent? Write your answer in digits.
[1 Mark]Non-Calc
8,000,000 + 400,000 + 3,000 + 90 + 5
Q7.
Insert < or > to make each statement true.
[1 Mark]Non-Calc
(a) 2,308,500 2,380,500
(b) 9,999,999 10,000,000
Q8.
The digit 0 appears in the number 4,073,218. Name the column it occupies and explain its purpose.
[2 Marks]Non-Calc
Show your working here
(a) The zero is in the column.
(b) Its role is:
Section B — Core Competency
Q9.
Complete the place value table for the number 8,504,037. Write one digit in each cell.
[2 Marks]Non-Calc
| Millions | Hundred-Thousands | Ten-Thousands | Thousands | Hundreds | Tens | Units |
| | | | | | | |
Q10.
Place these five numbers in order from smallest to largest.
[2 Marks]Non-Calc
3,406,2103,640,2103,406,0213,064,2103,640,021
Show your working here — compare digit by digit from the left
Q11.
What number is 100,000 more than 4,523,850?
[1 Mark]Non-Calc
Show your working here
Q12.
A student writes "four million, three hundred thousand and eight" as 4,300,800.
[2 Marks]Non-Calc
Show your working here
(a) Describe the mistake:
(b) Correct answer in digits:
Q13.
Write down a 7-digit number where: the millions digit is 5, the ten-thousands digit is 7, the units digit is 3, and all other digits are 0.
[2 Marks]Non-Calc
Show your working here
Q14.
Insert < or > between each pair.
[2 Marks]Non-Calc
(a) 5,071,000 5,701,000
(b) 2,000,006 2,000,060
(c) 3,750,000 3,075,000
(d) 9,999,999 10,000,000
Show your working here
Section C — Applied & Comparison Questions
Q15.
The attendance at five Premier League matches on a Saturday was recorded. Write the five attendances in order from smallest to largest.
[2 Marks]Non-Calc
47,38252,10947,83251,92047,283
Show your working here
Q16.
A mystery number has: 6 millions, 5 hundred-thousands, 0 ten-thousands, 8 thousands, 0 hundreds, 4 tens, 2 ones. Write it in (a) digits and (b) words.
[2 Marks]Non-Calc
(a) In digits:
(b) In words:
Q17.
The table shows the number of passengers through three major UK airports in one year.
[3 Marks]Non-Calc
| Airport | Passengers |
| Heathrow | 80,124,000 |
| Gatwick | 46,570,000 |
| Manchester | 28,395,000 |
Show your working here
(a) Write the Heathrow figure in words:
(b) How many more passengers used Heathrow than Manchester?
(c) Write the Manchester figure in words:
Q18.
A smartphone shows 1,024,576 bytes of storage used.
[2 Marks]Non-Calc
(a) Write this number in words:
(b) What is the value of the digit 2 in this number?
Section D — Functional & Contextual Problems
Q19.
The table shows the populations of four European capital cities.
[3 Marks]Non-Calc
| City | Population |
| Paris | 2,148,271 |
| Berlin | 3,645,000 |
| Madrid | 3,223,334 |
| Rome | 2,872,800 |
Show your working here
(a) Write the population of Paris in words:
(b) Order the four cities from largest to smallest population:
(c) What is the difference in population between Berlin and Rome?
Q20.
A council report states the total cost of road repairs is "seven million, four hundred and two thousand and fifty pounds".
[3 Marks]Non-Calc
Show your working here
(a) Write the total cost in digits: £
(b) The council has allocated £5,783,000. Write this amount in words:
(c) How much extra funding is still needed?
Q21.
A national parks website records visitor numbers across four parks over one year.
[3 Marks]Non-Calc
| National Park | Annual Visitors |
| Yellowstone | 4,860,573 |
| Yosemite | 4,422,861 |
| Grand Canyon | 5,974,411 |
| Zion | 4,504,812 |
Show your working here
(a) Write the Grand Canyon visitor number in words:
(b) Order the four parks from least to most visitors:
(c) What is the value of the digit 9 in the Grand Canyon figure?
Section E — Extended Challenge ★★★
Q22.
Challenge A charity raised three million, two hundred thousand pounds over five years. The first four years raised: Year 1 £450,000 • Year 2 £520,000 • Year 3 £680,000 • Year 4 £610,000.
[3 Marks]Non-Calc
Show your working here
(a) Write the total in digits: £
(b) How much was raised in Year 5? £
(c) Write the Year 5 amount in words:
Q23.
Challenge Using each of the digits 1, 3, 5, 7, 9 exactly once plus two zeros (seven digits total, no leading zero):
[4 Marks]Non-Calc
Show your working here
(a) Write the largest possible 7-digit number:
(b) Write the smallest possible 7-digit number:
(c) Write your answer to (a) in words:
(d) What is the difference between your largest and smallest numbers?
| Section |
Marks Available |
Your Score |
Confidence Level |
| Section A — Foundation Skills (Q1–Q8) |
10 marks |
___ / 10 |
◯ Low ◯ Medium ◯ High |
| Section B — Core Competency (Q9–Q14) |
10 marks |
___ / 10 |
◯ Low ◯ Medium ◯ High |
| Section C — Applied & Comparison (Q15–Q18) |
9 marks |
___ / 9 |
◯ Low ◯ Medium ◯ High |
| Section D — Functional Problems (Q19–Q21) |
9 marks |
___ / 9 |
◯ Low ◯ Medium ◯ High |
| Section E — Extended Challenge (Q22–Q23) |
7 marks |
___ / 7 |
◯ Low ◯ Medium ◯ High |
| TOTAL |
45 marks |
___ / 45 |
|
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