Lesson 1.1: 5-Digit Numbers and Place Value
Comprehensive lesson on 5-Digit Numbers and Place Value in Grade 5 Mathematics.
⏱️ Reading Time: 20 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Large Numbers and Number Names
City Census Office: Tracking urban populations in town districts exceeding 45,000 residents.
💡 Core Mathematical Concepts: 5-Digit Numbers and Place Value
Focus areas: Reading and writing 5-digit numerals and expanded form..
| Concept / Term | Mathematical Meaning | Real-Life Application |
|---|---|---|
| Tens of Thousands | Value of the digit in the 5th place from the right | 40,000 in 48,250 |
| Expanded Notation | Writing a number as the sum of the value of each digit | 50,000 + 4,000 + 300 + 20 + 9 |
| Numeral Words | Writing numbers in formal language words | Seventy-two thousand, four hundred six |
📝 Step-by-Step Worked Examples
Worked Example 1: Reading 60,408
Break into periods: (60 thousands) and (408 units) -> 'Sixty thousand, four hundred eight'.
Worked Example 2: Expanded form of 85,290
80,000 + 5,000 + 200 + 90 + 0.
⚠️ Common Misconceptions to Avoid
Common Misconception: Omitting zero placeholders
Correction: In 50,203, writing 523 instead of maintaining zero in thousands and tens.
Common Misconception: Adding 'and' inappropriately
Correction: Only write 'and' before the tens/units (e.g., twenty thousand and five).
🎯
Self-Check Challenge
A solar farm generated 74,059 kilowatt-hours of power in one month. Write this amount in expanded notation and in words.
Answer & Explanation:
Expanded: 70,000 + 4,000 + 0 + 50 + 9. In words: Seventy-four thousand, fifty-nine.
🎯 Key Learning Takeaways
Master core definitions of 5-Digit Numbers and Place Value.
Apply mathematical principles to everyday scenarios.
Avoid common calculation and conceptual pitfalls.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G5-M-CH01-WS05
A4 • 15 Qs
Large Numbers and Number Names: Worksheet 5
Practice Assessment 5 • Central Botanical Gardens Context
G5-M-CH01-WS04
A4 • 15 Qs
Large Numbers and Number Names: Worksheet 4
Practice Assessment 4 • Eco-Friendly Solar Park Context
G5-M-CH01-WS03
A4 • 15 Qs
Large Numbers and Number Names: Worksheet 3
Practice Assessment 3 • Harbor Marine Terminal Context
G5-M-CH01-WS02
A4 • 15 Qs
Large Numbers and Number Names: Worksheet 2
Practice Assessment 2 • Science & Discovery Museum Context
G5-M-CH01-WS01
A4 • 15 Qs
Large Numbers and Number Names: Worksheet 1
Practice Assessment 1 • City Regional Airport Context
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A digital warehouse counter counts in increments of 100. If it starts at 43,500 and counts forward 25 times, what number will the display show?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
46,000
Step-by-Step Explanation:
25 counts of 100 = 2,500. 43,500 + 2,500 = 46,000.
2
Short Answer
Hard
2 Marks
Using each of the digits 8, 3, 0, 5, 2 exactly once, find the difference between the greatest possible 5-digit number and the smallest possible 5-digit number that can be formed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64,953
Step-by-Step Explanation:
Greatest number: 85,320. Smallest number (cannot begin with 0): 20,358. Difference: 85,320 - 20,358 = 64,953.
3
Short Answer
Hard
2 Marks
Explain step-by-step why commas are inserted every three digits from right to left in numbers like 87,420.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Commas separate periods (ones, thousands, millions). In 87,420, the comma separates the thousands period (87) from the units period (420), making it readable at a glance.
Step-by-Step Explanation:
Commas organize digits into 3-digit periods for immediate visual parsing.
4
Short Answer
Hard
2 Marks
Why is 40,502 significantly different from 45,002 even though both contain the exact same digits (4, 5, 0, 0, 2)? Explain using place value.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The digit 5 represents 500 in 40,502, but represents 5,000 in 45,002. Since 5,000 is 10 times greater than 500, positional place value changes the total quantity.
Step-by-Step Explanation:
Place value determines the magnitude of a digit by its power-of-10 position.
5
Short Answer
Medium
1 Mark
A clerk entered 90,054 as 'Nine thousand, fifty-four'. What is the error and what is the correct word name?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Ninety thousand, fifty-four
Step-by-Step Explanation:
The clerk omitted the ten-thousands period. 90,054 is 'Ninety thousand, fifty-four'.
6
Short Answer
Medium
1 Mark
Student Noah writes: 'The numeral for forty-two thousand, six is 42,600.' Identify Noah's mistake and state the correct numeral.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
42,006
Step-by-Step Explanation:
Noah placed 6 in the hundreds place instead of the ones place. The correct numeral is 42,006.
7
Fill in the Blanks
Medium
1 Mark
Fill in the missing numeral: 95,000 + 800 + [ ? ] = 95,890.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
The tens digit 9 represents 90.
8
Fill in the Blanks
Medium
1 Mark
Find the missing term in this expanded form: 100,000 + [ ? ] + 600 + 40 + 3 = 104,643.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,000
Step-by-Step Explanation:
Subtract known place values from the total to find the missing thousands term: 4,000.
9
Short Answer
Medium
1 Mark
A state infrastructure grant allocates $95,000 for environmental upgrades at the Central Botanical Gardens. If $48,940 has been spent in phase one, how much remains for phase two?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$46,060
Step-by-Step Explanation:
Subtract expenditure from allocation: $46,060.
10
Short Answer
Medium
1 Mark
A municipal library archives 66,000 books. During an annual audit, 1,580 damaged volumes were retired. How many cataloged books remain?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64,420
Step-by-Step Explanation:
Subtract retired volumes: 66,000 - 1,580 = 64,420 books.
11
Short Answer
Medium
1 Mark
At the Central Botanical Gardens, passenger registry recorded 40,450 visitors in May and 47,820 visitors in June. How many total passengers were recorded over both months?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
88,270
Step-by-Step Explanation:
Add both 5-digit numbers: 40,450 + 47,820 = 88,270 passengers.
12
Multiple Choice
Easy
1 Mark
Which number is exactly 1,000 more than 64,228?
A
65,228
B
66,228
C
64,228
D
65,328
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
65,228
Step-by-Step Explanation:
Add 1,000 to the thousands place: 65,228.
13
Multiple Choice
Easy
1 Mark
Which of the following represents 85,184 written in expanded notation?
A
80,000 + 5,000 + 100 + 80 + 4
B
8,000 + 5,100 + 84
C
800,000 + 5,184
D
80,000 + 84
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
80,000 + 5,000 + 100 + 80 + 4
Step-by-Step Explanation:
Expanded form decomposes every non-zero digit into its positional value.
14
Multiple Choice
Easy
1 Mark
In the numeral 65,228, what is the place value of the digit in the ten-thousands place?
A
60,000
B
6,000
C
600
D
6
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60,000
Step-by-Step Explanation:
The leftmost digit is in the ten-thousands column: 60,000.
15
Multiple Choice
Easy
1 Mark
What is the standard numeral for 'Fifty-four thousand, 220 hundred eight'?
A
56,208
B
54,228
C
52,608
D
76,008
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56,208
Step-by-Step Explanation:
Break down into periods: 54 thousands and 2208 units.
16
Short Answer
Hard
2 Marks
A digital warehouse counter counts in increments of 100. If it starts at 42,500 and counts forward 25 times, what number will the display show?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
45,000
Step-by-Step Explanation:
25 counts of 100 = 2,500. 42,500 + 2,500 = 45,000.
17
Short Answer
Hard
2 Marks
Using each of the digits 8, 3, 0, 5, 2 exactly once, find the difference between the greatest possible 5-digit number and the smallest possible 5-digit number that can be formed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64,953
Step-by-Step Explanation:
Greatest number: 85,320. Smallest number (cannot begin with 0): 20,358. Difference: 85,320 - 20,358 = 64,953.
18
Short Answer
Hard
2 Marks
Explain step-by-step why commas are inserted every three digits from right to left in numbers like 87,420.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Commas separate periods (ones, thousands, millions). In 87,420, the comma separates the thousands period (87) from the units period (420), making it readable at a glance.
Step-by-Step Explanation:
Commas organize digits into 3-digit periods for immediate visual parsing.
19
Short Answer
Hard
2 Marks
Why is 40,502 significantly different from 45,002 even though both contain the exact same digits (4, 5, 0, 0, 2)? Explain using place value.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The digit 5 represents 500 in 40,502, but represents 5,000 in 45,002. Since 5,000 is 10 times greater than 500, positional place value changes the total quantity.
Step-by-Step Explanation:
Place value determines the magnitude of a digit by its power-of-10 position.
20
Short Answer
Medium
1 Mark
A clerk entered 90,054 as 'Nine thousand, fifty-four'. What is the error and what is the correct word name?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Ninety thousand, fifty-four
Step-by-Step Explanation:
The clerk omitted the ten-thousands period. 90,054 is 'Ninety thousand, fifty-four'.
21
Short Answer
Medium
1 Mark
Student Noah writes: 'The numeral for forty-two thousand, six is 42,600.' Identify Noah's mistake and state the correct numeral.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
42,006
Step-by-Step Explanation:
Noah placed 6 in the hundreds place instead of the ones place. The correct numeral is 42,006.
22
Fill in the Blanks
Medium
1 Mark
Fill in the missing numeral: 90,000 + 800 + [ ? ] = 90,890.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
The tens digit 9 represents 90.
23
Fill in the Blanks
Medium
1 Mark
Find the missing term in this expanded form: 90,000 + [ ? ] + 600 + 40 + 3 = 94,643.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,000
Step-by-Step Explanation:
Subtract known place values from the total to find the missing thousands term: 4,000.
24
Short Answer
Medium
1 Mark
A state infrastructure grant allocates $93,000 for environmental upgrades at the Eco-Friendly Solar Park. If $48,860 has been spent in phase one, how much remains for phase two?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$44,140
Step-by-Step Explanation:
Subtract expenditure from allocation: $44,140.
25
Short Answer
Medium
1 Mark
A municipal library archives 64,800 books. During an annual audit, 1,550 damaged volumes were retired. How many cataloged books remain?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
63,250
Step-by-Step Explanation:
Subtract retired volumes: 64,800 - 1,550 = 63,250 books.
26
Short Answer
Medium
1 Mark
At the Eco-Friendly Solar Park, passenger registry recorded 38,450 visitors in May and 46,320 visitors in June. How many total passengers were recorded over both months?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
84,770
Step-by-Step Explanation:
Add both 5-digit numbers: 38,450 + 46,320 = 84,770 passengers.
27
Multiple Choice
Easy
1 Mark
Which number is exactly 1,000 more than 59,208?
A
60,208
B
61,208
C
59,208
D
60,308
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60,208
Step-by-Step Explanation:
Add 1,000 to the thousands place: 60,208.
28
Multiple Choice
Easy
1 Mark
Which of the following represents 82,164 written in expanded notation?
A
80,000 + 2,000 + 100 + 60 + 4
B
8,000 + 2,100 + 64
C
800,000 + 2,164
D
80,000 + 64
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
80,000 + 2,000 + 100 + 60 + 4
Step-by-Step Explanation:
Expanded form decomposes every non-zero digit into its positional value.
29
Multiple Choice
Easy
1 Mark
In the numeral 60,208, what is the place value of the digit in the ten-thousands place?
A
60,000
B
6,000
C
600
D
6
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60,000
Step-by-Step Explanation:
The leftmost digit is in the ten-thousands column: 60,000.
30
Multiple Choice
Easy
1 Mark
What is the standard numeral for 'Fifty-four thousand, 200 hundred eight'?
A
56,008
B
54,208
C
52,408
D
74,008
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56,008
Step-by-Step Explanation:
Break down into periods: 54 thousands and 2008 units.
31
Short Answer
Hard
2 Marks
A digital warehouse counter counts in increments of 100. If it starts at 41,500 and counts forward 25 times, what number will the display show?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
44,000
Step-by-Step Explanation:
25 counts of 100 = 2,500. 41,500 + 2,500 = 44,000.
32
Short Answer
Hard
2 Marks
Using each of the digits 8, 3, 0, 5, 2 exactly once, find the difference between the greatest possible 5-digit number and the smallest possible 5-digit number that can be formed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64,953
Step-by-Step Explanation:
Greatest number: 85,320. Smallest number (cannot begin with 0): 20,358. Difference: 85,320 - 20,358 = 64,953.
33
Short Answer
Hard
2 Marks
Explain step-by-step why commas are inserted every three digits from right to left in numbers like 87,420.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Commas separate periods (ones, thousands, millions). In 87,420, the comma separates the thousands period (87) from the units period (420), making it readable at a glance.
Step-by-Step Explanation:
Commas organize digits into 3-digit periods for immediate visual parsing.
34
Short Answer
Hard
2 Marks
Why is 40,502 significantly different from 45,002 even though both contain the exact same digits (4, 5, 0, 0, 2)? Explain using place value.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The digit 5 represents 500 in 40,502, but represents 5,000 in 45,002. Since 5,000 is 10 times greater than 500, positional place value changes the total quantity.
Step-by-Step Explanation:
Place value determines the magnitude of a digit by its power-of-10 position.
35
Short Answer
Medium
1 Mark
A clerk entered 90,054 as 'Nine thousand, fifty-four'. What is the error and what is the correct word name?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Ninety thousand, fifty-four
Step-by-Step Explanation:
The clerk omitted the ten-thousands period. 90,054 is 'Ninety thousand, fifty-four'.
36
Short Answer
Medium
1 Mark
Student Noah writes: 'The numeral for forty-two thousand, six is 42,600.' Identify Noah's mistake and state the correct numeral.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
42,006
Step-by-Step Explanation:
Noah placed 6 in the hundreds place instead of the ones place. The correct numeral is 42,006.
37
Fill in the Blanks
Medium
1 Mark
Fill in the missing numeral: 85,000 + 800 + [ ? ] = 85,890.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
90
Step-by-Step Explanation:
The tens digit 9 represents 90.
38
Fill in the Blanks
Medium
1 Mark
Find the missing term in this expanded form: 80,000 + [ ? ] + 600 + 40 + 3 = 84,643.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,000
Step-by-Step Explanation:
Subtract known place values from the total to find the missing thousands term: 4,000.
39
Short Answer
Medium
1 Mark
A state infrastructure grant allocates $91,000 for environmental upgrades at the Harbor Marine Terminal. If $49,000 has been spent in phase one, how much remains for phase two?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$42,000
Step-by-Step Explanation:
Subtract expenditure from allocation: $42,000.
40
Short Answer
Medium
1 Mark
A municipal library archives 63,600 books. During an annual audit, 1,625 damaged volumes were retired. How many cataloged books remain?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
61,975
Step-by-Step Explanation:
Subtract retired volumes: 63,600 - 1,625 = 61,975 books.
41
Short Answer
Medium
1 Mark
At the Harbor Marine Terminal, passenger registry recorded 36,450 visitors in May and 44,820 visitors in June. How many total passengers were recorded over both months?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
81,270
Step-by-Step Explanation:
Add both 5-digit numbers: 36,450 + 44,820 = 81,270 passengers.
42
Multiple Choice
Easy
1 Mark
Which number is exactly 1,000 more than 54,258?
A
55,258
B
56,258
C
54,258
D
55,358
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
55,258
Step-by-Step Explanation:
Add 1,000 to the thousands place: 55,258.
43
Multiple Choice
Easy
1 Mark
Which of the following represents 79,144 written in expanded notation?
A
70,000 + 9,000 + 100 + 40 + 4
B
7,000 + 9,100 + 44
C
700,000 + 9,144
D
70,000 + 44
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
70,000 + 9,000 + 100 + 40 + 4
Step-by-Step Explanation:
Expanded form decomposes every non-zero digit into its positional value.
44
Multiple Choice
Easy
1 Mark
In the numeral 55,258, what is the place value of the digit in the ten-thousands place?
A
50,000
B
5,000
C
500
D
5
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
50,000
Step-by-Step Explanation:
The leftmost digit is in the ten-thousands column: 50,000.
45
Multiple Choice
Easy
1 Mark
What is the standard numeral for 'Fifty-four thousand, 250 hundred eight'?
A
56,508
B
54,258
C
52,908
D
79,008
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56,508
Step-by-Step Explanation:
Break down into periods: 54 thousands and 2508 units.
46
Short Answer
Hard
2 Marks
A digital warehouse counter counts in increments of 100. If it starts at 40,500 and counts forward 25 times, what number will the display show?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43,000
Step-by-Step Explanation:
25 counts of 100 = 2,500. 40,500 + 2,500 = 43,000.
47
Short Answer
Hard
2 Marks
Using each of the digits 8, 3, 0, 5, 2 exactly once, find the difference between the greatest possible 5-digit number and the smallest possible 5-digit number that can be formed.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64,953
Step-by-Step Explanation:
Greatest number: 85,320. Smallest number (cannot begin with 0): 20,358. Difference: 85,320 - 20,358 = 64,953.
48
Short Answer
Hard
2 Marks
Explain step-by-step why commas are inserted every three digits from right to left in numbers like 87,420.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Commas separate periods (ones, thousands, millions). In 87,420, the comma separates the thousands period (87) from the units period (420), making it readable at a glance.
Step-by-Step Explanation:
Commas organize digits into 3-digit periods for immediate visual parsing.
49
Short Answer
Hard
2 Marks
Why is 40,502 significantly different from 45,002 even though both contain the exact same digits (4, 5, 0, 0, 2)? Explain using place value.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The digit 5 represents 500 in 40,502, but represents 5,000 in 45,002. Since 5,000 is 10 times greater than 500, positional place value changes the total quantity.
Step-by-Step Explanation:
Place value determines the magnitude of a digit by its power-of-10 position.
50
Short Answer
Medium
1 Mark
A clerk entered 90,054 as 'Nine thousand, fifty-four'. What is the error and what is the correct word name?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Ninety thousand, fifty-four
Step-by-Step Explanation:
The clerk omitted the ten-thousands period. 90,054 is 'Ninety thousand, fifty-four'.