What is the difference between place and value?

"Place" is the column name (e.g., Thousands), while "value" is the numerical quantity that the digit represents (e.g., 7,000).

What Common Core standards govern place value?

Place value is covered under CCSS.MATH.CONTENT.2.NBT.A.1 (understand that the three digits of a 3-digit number represent amounts of hundreds, tens, and ones), 2.NBT.A.3 (read and write numbers to 1000 using base-ten numerals, number names, and expanded form), and 4.NBT.A.2 (read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form).

Why do students struggle with zeros in multi-digit numbers?

Students often overlook zeros in expanded form (e.g., writing 5,042 as 500 + 40 + 2 instead of 5,000 + 40 + 2). Our Set C focuses specifically on zero placeholders to build error-proof habits.

🎓 Grades 1-4📄 Free PDF + Keys♾️ Dynamic Generator

Place ValueFREEWorksheet Generator(Grades 1-4)

Place Value worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 1–4.

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Set A • 10 Qs

PanMaths.comPlace Value Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.Find the missing value: 1,000 + 800 + 60 + ____ = 1,868

Answer:

________________

2.Value of the underlined digit in 3749

Answer:

________________

3.Value of the underlined digit in 3386

Answer:

________________

4.Value of the underlined digit in 3553

Answer:

________________

5.Find the missing value: 1,000 + ____ + 10 + 9 = 1,819

Answer:

________________

6.Find the missing value: ____ + 500 + 80 + 9 = 7,589

Answer:

________________

7.Find the missing value: ____ + 500 + 70 + 1 = 2,571

Answer:

________________

8.Write as a standard number: 8,000 + 700 + 30 + 2

Answer:

________________

9.Find the missing value: 700 + 40 + ____ = 745

Answer:

________________

10.Write as a standard number: 3,000 + 700 + 70 + 8

Answer:

________________

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

1.Find the missing value: 1,000 + 800 + 60 + ____ = 1,868

Answer:

1. Compare expanded parts with total 1,868.

2. Calculate missing place value: 8.

2.Value of the underlined digit in 3749

Answer:

700

1. Identify place value column: The digit 7 is in the hundreds place (×100).

2. Compute value: 7 × 100 = 700.

3.Value of the underlined digit in 3386

Answer:

3,000

1. Identify place value column: The digit 3 is in the thousands place (×1000).

2. Compute value: 3 × 1,000 = 3,000.

4.Value of the underlined digit in 3553

Answer:

1. Identify place value column: The digit 5 is in the tens place (×10).

2. Compute value: 5 × 10 = 50.

5.Find the missing value: 1,000 + ____ + 10 + 9 = 1,819

Answer:

800

1. Compare expanded parts with total 1,819.

2. Calculate missing place value: 800.

6.Find the missing value: ____ + 500 + 80 + 9 = 7,589

Answer:

7,000

1. Compare expanded parts with total 7,589.

2. Calculate missing place value: 7,000.

7.Find the missing value: ____ + 500 + 70 + 1 = 2,571

Answer:

2,000

1. Compare expanded parts with total 2,571.

2. Calculate missing place value: 2,000.

8.Write as a standard number: 8,000 + 700 + 30 + 2

Answer:

8,732

1. Add the place value components together: 8,000 + 700 + 30 + 2.

2. Standard form result: 8,732.

9.Find the missing value: 700 + 40 + ____ = 745

Answer:

1. Compare expanded parts with total 745.

2. Calculate missing place value: 5.

10.Write as a standard number: 3,000 + 700 + 70 + 8

Answer:

3,778

1. Add the place value components together: 3,000 + 700 + 70 + 8.

2. Standard form result: 3,778.

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categoryarithmetic

Grade LevelGrades Grades 1–4

Difficultymedium

Time10-15 min

Skills Practiced

✓ Place Value fluency
✓ Mental math speed
✓ Step-by-step problem solving

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The Bedrock of Modern Mathematics: Place Value

Understanding place value is the single most fundamental skill in arithmetic. In our Hindu-Arabic Base-10 system, each column represents a power of 10 (ones, tens, hundreds, thousands).

Our free printable worksheets help students build strong mental number structures through three core exercises: identifying underlined digit values, converting between expanded and standard forms, and finding missing place value components.

How to Find the Value of an Underlined Digit

To find the value of the underlined digit in 7,425:

Count from the Right: Ones (5), Tens (2), Hundreds (4), Thousands (7).
Identify the Column: The digit 4 is in the hundreds place.
Multiply: 4 × 100 = 400. The value is 400.

Standard Form vs. Expanded Form

Standard Form: The conventional numeral (e.g., 6,340).
Expanded Form: Expressed as a sum of place values (e.g., 6,000 + 300 + 40).
Word Form: Written in plain English (e.g., Six thousand three hundred forty).

💡 1. Position Determines Value (The Base-10 Law)

The digit 5 in 52 is worth 50 (tens place), but in 528 it is worth 500 (hundreds place).

💡 2. Zero is a Critical Placeholder

In 508, the 0 tens keeps the 5 in the hundreds place. Without the 0, it would just be 58!

💡 3. Reading Expanded Form

Expanded form reveals the hidden addition inside every number: 4,532 = 4,000 + 500 + 30 + 2.

Worksheet Facts by Grade Level

Grade Level	Place Value Curriculum Goal	Example Concept
Grade 1	Understand two-digit numbers as amounts of tens and ones	42 = 4 tens and 2 ones
Grade 2	Three-digit numbers (hundreds, tens, ones) and expanded form	735 = 700 + 30 + 5
Grade 3	Rounding and multi-digit operations using place value	Round 482 to nearest 100 (500)
Grade 4	Generalize place value understanding for multi-digit whole numbers	Recognize that 7,000 is 10 times 700

The Bedrock of Modern Mathematics: Place Value

Understanding place value is the single most fundamental skill in arithmetic. In our Hindu-Arabic Base-10 system, each column represents a power of 10 (ones, tens, hundreds, thousands).

How to Find the Value of an Underlined Digit

To find the value of the underlined digit in 7,425:

Count from the Right: Ones (5), Tens (2), Hundreds (4), Thousands (7).
Identify the Column: The digit 4 is in the hundreds place.
Multiply: 4 × 100 = 400. The value is 400.

Standard Form vs. Expanded Form

Standard Form: The conventional numeral (e.g., 6,340).
Expanded Form: Expressed as a sum of place values (e.g., 6,000 + 300 + 40).
Word Form: Written in plain English (e.g., Six thousand three hundred forty).

Benefits of Mastery

🔢 Base-10 Intuition

Teaches students why 10 ones group into 1 ten, and 10 tens group into 1 hundred.

➕ Carrying & Regrouping Bridge

The necessary prerequisite before learning multi-digit addition and subtraction.

📊 Scale & Magnitude Sense

Develops intuitive estimation skills and prevents order-of-magnitude calculation errors.

📝 Standardized Test Readiness

Matches the exact standard and expanded form questions on state exams.