Lesson 4.2: Expanded Form and Number Representation up to 10,000
Break 4-digit numbers into thousands, hundreds, tens, and ones in expanded addition notation.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Numbers up to 10,000
An accountant audits inventory at an electronics distribution center. A pallet holds 3,468 memory chips. To verify stock counts, he logs the sum of each box size: 3,000 + 400 + 60 + 8 = 3,468 chips.
💡 Core Mathematical Concepts: Expanded Form up to 10,000
Focus areas: Expanded form, standard form, unit decomposition, place value cards.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Expanded Notation | Expressing a number as the sum of the values of each of its digits | 3,468 = 3,000 + 400 + 60 + 8 |
| Standard Form | The conventional way of writing a number using digits | 3,468 is the standard form |
| Word Form | Writing the complete number in words | Three thousand, four hundred sixty-eight |
| Unit Form | Listing counts of each place: 3 thousands, 4 hundreds, 6 tens, 8 ones | 3 Th + 4 H + 6 T + 8 O |
🔍 Practical Classroom & Everyday Examples
Example 1: Expanding with Zeroes
When expanding a number with a zero digit, you can either write 0 or omit it: 8,045 = 8,000 + 40 + 5.
Example 2: Rebuilding Standard Form
Align place values carefully before adding to ensure digits do not shift columns.
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Writing digit face values instead of place values
Correction: Expanding 5,234 as 5 + 2 + 3 + 4 = 14 instead of 5,000 + 200 + 30 + 4.
Common Error: Adding extra zeroes
Correction: Writing 4,000 as 40,000 in a 4-digit expansion.
🎯 Quick Self-Check Challenge
Convert the expanded form into standard numeral: 6,000 + 300 + 9.
Answer & Explanation:
6 thousands (6), 3 hundreds (3), 0 tens (0), 9 ones (9) = 6,309.
🎯 Key Learning Takeaways
Master Numbers up to 10,000 fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH04-WS05
A4 • 15 Qs
Numbers up to 10,000 — Worksheet 5
4-Digit Numerals, Expanded Notation & Word Forms (Aviation Airport Flights Log)
G3-M-CH04-WS04
A4 • 15 Qs
Numbers up to 10,000 — Worksheet 4
4-Digit Numerals, Expanded Notation & Word Forms (Science Museum Ticket Sales)
G3-M-CH04-WS03
A4 • 15 Qs
Numbers up to 10,000 — Worksheet 3
4-Digit Numerals, Expanded Notation & Word Forms (Wildlife Reserve Elephant Census)
G3-M-CH04-WS02
A4 • 15 Qs
Numbers up to 10,000 — Worksheet 2
4-Digit Numerals, Expanded Notation & Word Forms (City Central Library Catalog)
G3-M-CH04-WS01
A4 • 15 Qs
Numbers up to 10,000 — Worksheet 1
4-Digit Numerals, Expanded Notation & Word Forms (Grand Stadium Attendance)
✍️ 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
I am a 4-digit number. My thousands digit is 6. My hundreds digit is half my thousands digit. My tens digit is 0. My ones digit is 3 more than my tens digit. What number am I?
A
6,303
B
6,330
C
6,203
D
6,306
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,303
Step-by-Step Explanation:
Thousands = 6. Hundreds = 6 ÷ 2 = 3. Tens = 0. Ones = 0 + 3 = 3. The number is 6,303.
2
Short Answer
Hard
2 Marks
Using each of the four digits [7, 2, 9, 4] exactly once, what is the largest possible 4-digit number you can create?
A
9,742
B
9,724
C
9,472
D
7,942
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9,742
Step-by-Step Explanation:
To make the largest number, place the largest digits in the highest place value: 9 in thousands, 7 in hundreds, 4 in tens, 2 in ones = 9,742.
3
Short Answer
Hard
2 Marks
How many hundreds are equal in total value to one thousand (1,000)?
A
10 hundreds
B
100 hundreds
C
1 hundred
D
20 hundreds
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 hundreds
Step-by-Step Explanation:
10 × 100 = 1,000. Exactly 10 hundreds equal one thousand.
4
Short Answer
Hard
2 Marks
Why is the digit 0 essential when writing numbers like 5,023 in the standard base-ten system?
A
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
B
Zero makes numbers look neater
C
Zero has no mathematical purpose
D
Zero can be replaced by any symbol
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
Step-by-Step Explanation:
In a positional numeral system, zeroes maintain correct column positions for all other digits.
5
Short Answer
Medium
1 Mark
Zack writes: '4,520 in expanded form is 4 + 5 + 2 + 0.' Why is this incorrect?
A
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
B
Zack forgot to multiply by 10
C
4,520 cannot be expanded
D
The sum should equal 100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
Step-by-Step Explanation:
Expanded form sums place values: 4,000 + 500 + 20, not single-digit face values.
6
Short Answer
Medium
1 Mark
A student writes the numeral for 'Eight thousand four' as 804. What is the mistake?
A
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
B
804 is correct
C
Eight thousand four should be 8,400
D
Eight thousand four should be 80,004
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
Step-by-Step Explanation:
8,004 requires zeroes in both the hundreds and tens places.
7
Fill in the Blanks
Medium
1 Mark
What number is represented by: 5 thousands + 18 tens + 4 ones?
A
5,184
B
5,180
C
5,804
D
5,984
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,184
Step-by-Step Explanation:
5,000 + (18 × 10 = 180) + 4 = 5,184.
8
Fill in the Blanks
Medium
1 Mark
Find the missing addend in expanded form: 8164 = 8000 + [ ? ] + 60 + 4
A
100
B
10
C
1
D
1000
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
100
Step-by-Step Explanation:
The hundreds place is 1, which has a value of 100.
9
Short Answer
Medium
1 Mark
A bookstore has 2,400 fiction books and 1,800 non-fiction books. What is the combined total number of books?
A
4,200 books
B
4,100 books
C
3,200 books
D
4,300 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,200 books
Step-by-Step Explanation:
2,400 + 1,800 = 4,200 books.
10
Short Answer
Medium
1 Mark
A charity collected 3,000 one-dollar coins on Monday, 400 on Tuesday, and 50 on Wednesday. What is the total dollar amount collected?
A
$3,450
B
$3,405
C
$3,540
D
$345
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$3,450
Step-by-Step Explanation:
$3,000 + $400 + $50 = $3,450.
11
Short Answer
Medium
1 Mark
At the Aviation Airport Flights Log, an event organizer logs 8164 attendees. How is this number written in standard words?
A
8 thousand, 1 hundred and 64
B
8 hundred and 164
C
80 thousand
D
Ten thousand
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 thousand, 1 hundred and 64
Step-by-Step Explanation:
Spelled out: 8 thousand, 1 hundred and 64.
12
Multiple Choice
Easy
1 Mark
Which number has a 7 in the thousands place and a 4 in the tens place?
A
7,245
B
4,725
C
2,745
D
7,420
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7,245
Step-by-Step Explanation:
In 7,245, 7 is in the thousands place and 4 is in the tens place.
13
Multiple Choice
Easy
1 Mark
What number is 1,000 more than 4,520?
A
5,520
B
4,620
C
5,620
D
4,530
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,520
Step-by-Step Explanation:
4,520 + 1,000 = 5,520 (thousands digit increases by 1).
14
Multiple Choice
Easy
1 Mark
Write 8164 in correct expanded form:
A
8000 + 100 + 60 + 4
B
8 + 1 + 6 + 4
C
800 + 10 + 60 + 4
D
8000 + 10 + 4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8000 + 100 + 60 + 4
Step-by-Step Explanation:
8164 decomposes into 8000 + 100 + 60 + 4.
15
Multiple Choice
Easy
1 Mark
What is the standard numeral for: '8 thousands, 1 hundreds, 6 tens, and 4 ones'?
A
8164
B
8064
C
8174
D
8614
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8164
Step-by-Step Explanation:
8×1000 + 1×100 + 6×10 + 4 = 8164.
16
Short Answer
Hard
2 Marks
I am a 4-digit number. My thousands digit is 6. My hundreds digit is half my thousands digit. My tens digit is 0. My ones digit is 3 more than my tens digit. What number am I?
A
6,303
B
6,330
C
6,203
D
6,306
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,303
Step-by-Step Explanation:
Thousands = 6. Hundreds = 6 ÷ 2 = 3. Tens = 0. Ones = 0 + 3 = 3. The number is 6,303.
17
Short Answer
Hard
2 Marks
Using each of the four digits [7, 2, 9, 4] exactly once, what is the largest possible 4-digit number you can create?
A
9,742
B
9,724
C
9,472
D
7,942
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9,742
Step-by-Step Explanation:
To make the largest number, place the largest digits in the highest place value: 9 in thousands, 7 in hundreds, 4 in tens, 2 in ones = 9,742.
18
Short Answer
Hard
2 Marks
How many hundreds are equal in total value to one thousand (1,000)?
A
10 hundreds
B
100 hundreds
C
1 hundred
D
20 hundreds
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 hundreds
Step-by-Step Explanation:
10 × 100 = 1,000. Exactly 10 hundreds equal one thousand.
19
Short Answer
Hard
2 Marks
Why is the digit 0 essential when writing numbers like 5,023 in the standard base-ten system?
A
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
B
Zero makes numbers look neater
C
Zero has no mathematical purpose
D
Zero can be replaced by any symbol
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
Step-by-Step Explanation:
In a positional numeral system, zeroes maintain correct column positions for all other digits.
20
Short Answer
Medium
1 Mark
Zack writes: '4,520 in expanded form is 4 + 5 + 2 + 0.' Why is this incorrect?
A
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
B
Zack forgot to multiply by 10
C
4,520 cannot be expanded
D
The sum should equal 100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
Step-by-Step Explanation:
Expanded form sums place values: 4,000 + 500 + 20, not single-digit face values.
21
Short Answer
Medium
1 Mark
A student writes the numeral for 'Eight thousand four' as 804. What is the mistake?
A
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
B
804 is correct
C
Eight thousand four should be 8,400
D
Eight thousand four should be 80,004
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
Step-by-Step Explanation:
8,004 requires zeroes in both the hundreds and tens places.
22
Fill in the Blanks
Medium
1 Mark
What number is represented by: 5 thousands + 18 tens + 4 ones?
A
5,184
B
5,180
C
5,804
D
5,984
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,184
Step-by-Step Explanation:
5,000 + (18 × 10 = 180) + 4 = 5,184.
23
Fill in the Blanks
Medium
1 Mark
Find the missing addend in expanded form: 5493 = 5000 + [ ? ] + 90 + 3
A
400
B
40
C
4
D
4000
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
400
Step-by-Step Explanation:
The hundreds place is 4, which has a value of 400.
24
Short Answer
Medium
1 Mark
A bookstore has 2,400 fiction books and 1,800 non-fiction books. What is the combined total number of books?
A
4,200 books
B
4,100 books
C
3,200 books
D
4,300 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,200 books
Step-by-Step Explanation:
2,400 + 1,800 = 4,200 books.
25
Short Answer
Medium
1 Mark
A charity collected 3,000 one-dollar coins on Monday, 400 on Tuesday, and 50 on Wednesday. What is the total dollar amount collected?
A
$3,450
B
$3,405
C
$3,540
D
$345
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$3,450
Step-by-Step Explanation:
$3,000 + $400 + $50 = $3,450.
26
Short Answer
Medium
1 Mark
At the Science Museum Ticket Sales, an event organizer logs 5493 attendees. How is this number written in standard words?
A
5 thousand, 4 hundred and 93
B
5 hundred and 493
C
50 thousand
D
Ten thousand
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 thousand, 4 hundred and 93
Step-by-Step Explanation:
Spelled out: 5 thousand, 4 hundred and 93.
27
Multiple Choice
Easy
1 Mark
Which number has a 7 in the thousands place and a 4 in the tens place?
A
7,245
B
4,725
C
2,745
D
7,420
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7,245
Step-by-Step Explanation:
In 7,245, 7 is in the thousands place and 4 is in the tens place.
28
Multiple Choice
Easy
1 Mark
What number is 1,000 more than 4,520?
A
5,520
B
4,620
C
5,620
D
4,530
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,520
Step-by-Step Explanation:
4,520 + 1,000 = 5,520 (thousands digit increases by 1).
29
Multiple Choice
Easy
1 Mark
Write 5493 in correct expanded form:
A
5000 + 400 + 90 + 3
B
5 + 4 + 9 + 3
C
500 + 40 + 90 + 3
D
5000 + 40 + 3
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5000 + 400 + 90 + 3
Step-by-Step Explanation:
5493 decomposes into 5000 + 400 + 90 + 3.
30
Multiple Choice
Easy
1 Mark
What is the standard numeral for: '5 thousands, 4 hundreds, 9 tens, and 3 ones'?
A
5493
B
5393
C
5503
D
5943
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5493
Step-by-Step Explanation:
5×1000 + 4×100 + 9×10 + 3 = 5493.
31
Short Answer
Hard
2 Marks
I am a 4-digit number. My thousands digit is 6. My hundreds digit is half my thousands digit. My tens digit is 0. My ones digit is 3 more than my tens digit. What number am I?
A
6,303
B
6,330
C
6,203
D
6,306
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,303
Step-by-Step Explanation:
Thousands = 6. Hundreds = 6 ÷ 2 = 3. Tens = 0. Ones = 0 + 3 = 3. The number is 6,303.
32
Short Answer
Hard
2 Marks
Using each of the four digits [7, 2, 9, 4] exactly once, what is the largest possible 4-digit number you can create?
A
9,742
B
9,724
C
9,472
D
7,942
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9,742
Step-by-Step Explanation:
To make the largest number, place the largest digits in the highest place value: 9 in thousands, 7 in hundreds, 4 in tens, 2 in ones = 9,742.
33
Short Answer
Hard
2 Marks
How many hundreds are equal in total value to one thousand (1,000)?
A
10 hundreds
B
100 hundreds
C
1 hundred
D
20 hundreds
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 hundreds
Step-by-Step Explanation:
10 × 100 = 1,000. Exactly 10 hundreds equal one thousand.
34
Short Answer
Hard
2 Marks
Why is the digit 0 essential when writing numbers like 5,023 in the standard base-ten system?
A
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
B
Zero makes numbers look neater
C
Zero has no mathematical purpose
D
Zero can be replaced by any symbol
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
Step-by-Step Explanation:
In a positional numeral system, zeroes maintain correct column positions for all other digits.
35
Short Answer
Medium
1 Mark
Zack writes: '4,520 in expanded form is 4 + 5 + 2 + 0.' Why is this incorrect?
A
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
B
Zack forgot to multiply by 10
C
4,520 cannot be expanded
D
The sum should equal 100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
Step-by-Step Explanation:
Expanded form sums place values: 4,000 + 500 + 20, not single-digit face values.
36
Short Answer
Medium
1 Mark
A student writes the numeral for 'Eight thousand four' as 804. What is the mistake?
A
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
B
804 is correct
C
Eight thousand four should be 8,400
D
Eight thousand four should be 80,004
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
The student omitted the zero in the tens place; eight thousand four is a 4-digit number (8,004), while 804 is eight hundred four
Step-by-Step Explanation:
8,004 requires zeroes in both the hundreds and tens places.
37
Fill in the Blanks
Medium
1 Mark
What number is represented by: 5 thousands + 18 tens + 4 ones?
A
5,184
B
5,180
C
5,804
D
5,984
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,184
Step-by-Step Explanation:
5,000 + (18 × 10 = 180) + 4 = 5,184.
38
Fill in the Blanks
Medium
1 Mark
Find the missing addend in expanded form: 2841 = 2000 + [ ? ] + 40 + 1
A
800
B
80
C
8
D
8000
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
800
Step-by-Step Explanation:
The hundreds place is 8, which has a value of 800.
39
Short Answer
Medium
1 Mark
A bookstore has 2,400 fiction books and 1,800 non-fiction books. What is the combined total number of books?
A
4,200 books
B
4,100 books
C
3,200 books
D
4,300 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4,200 books
Step-by-Step Explanation:
2,400 + 1,800 = 4,200 books.
40
Short Answer
Medium
1 Mark
A charity collected 3,000 one-dollar coins on Monday, 400 on Tuesday, and 50 on Wednesday. What is the total dollar amount collected?
A
$3,450
B
$3,405
C
$3,540
D
$345
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$3,450
Step-by-Step Explanation:
$3,000 + $400 + $50 = $3,450.
41
Short Answer
Medium
1 Mark
At the Wildlife Reserve Elephant Census, an event organizer logs 2841 attendees. How is this number written in standard words?
A
2 thousand, 8 hundred and 41
B
2 hundred and 841
C
20 thousand
D
Ten thousand
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2 thousand, 8 hundred and 41
Step-by-Step Explanation:
Spelled out: 2 thousand, 8 hundred and 41.
42
Multiple Choice
Easy
1 Mark
Which number has a 7 in the thousands place and a 4 in the tens place?
A
7,245
B
4,725
C
2,745
D
7,420
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7,245
Step-by-Step Explanation:
In 7,245, 7 is in the thousands place and 4 is in the tens place.
43
Multiple Choice
Easy
1 Mark
What number is 1,000 more than 4,520?
A
5,520
B
4,620
C
5,620
D
4,530
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,520
Step-by-Step Explanation:
4,520 + 1,000 = 5,520 (thousands digit increases by 1).
44
Multiple Choice
Easy
1 Mark
Write 2841 in correct expanded form:
A
2000 + 800 + 40 + 1
B
2 + 8 + 4 + 1
C
200 + 80 + 40 + 1
D
2000 + 80 + 1
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2000 + 800 + 40 + 1
Step-by-Step Explanation:
2841 decomposes into 2000 + 800 + 40 + 1.
45
Multiple Choice
Easy
1 Mark
What is the standard numeral for: '2 thousands, 8 hundreds, 4 tens, and 1 ones'?
A
2841
B
2741
C
2851
D
2481
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2841
Step-by-Step Explanation:
2×1000 + 8×100 + 4×10 + 1 = 2841.
46
Short Answer
Hard
2 Marks
I am a 4-digit number. My thousands digit is 6. My hundreds digit is half my thousands digit. My tens digit is 0. My ones digit is 3 more than my tens digit. What number am I?
A
6,303
B
6,330
C
6,203
D
6,306
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,303
Step-by-Step Explanation:
Thousands = 6. Hundreds = 6 ÷ 2 = 3. Tens = 0. Ones = 0 + 3 = 3. The number is 6,303.
47
Short Answer
Hard
2 Marks
Using each of the four digits [7, 2, 9, 4] exactly once, what is the largest possible 4-digit number you can create?
A
9,742
B
9,724
C
9,472
D
7,942
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9,742
Step-by-Step Explanation:
To make the largest number, place the largest digits in the highest place value: 9 in thousands, 7 in hundreds, 4 in tens, 2 in ones = 9,742.
48
Short Answer
Hard
2 Marks
How many hundreds are equal in total value to one thousand (1,000)?
A
10 hundreds
B
100 hundreds
C
1 hundred
D
20 hundreds
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 hundreds
Step-by-Step Explanation:
10 × 100 = 1,000. Exactly 10 hundreds equal one thousand.
49
Short Answer
Hard
2 Marks
Why is the digit 0 essential when writing numbers like 5,023 in the standard base-ten system?
A
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
B
Zero makes numbers look neater
C
Zero has no mathematical purpose
D
Zero can be replaced by any symbol
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Zero acts as a placeholder to keep the 5 in the thousands place; without 0, the number would read 523 (five hundred twenty-three)
Step-by-Step Explanation:
In a positional numeral system, zeroes maintain correct column positions for all other digits.
50
Short Answer
Medium
1 Mark
Zack writes: '4,520 in expanded form is 4 + 5 + 2 + 0.' Why is this incorrect?
A
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
B
Zack forgot to multiply by 10
C
4,520 cannot be expanded
D
The sum should equal 100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Expanded form represents the value of each digit based on its position (4,000 + 500 + 20), not the sum of its single digits
Step-by-Step Explanation:
Expanded form sums place values: 4,000 + 500 + 20, not single-digit face values.