Identify Place Value of Underlined Digit: Complete Worksheet Guide

Master identifying the place value of underlined digits with this comprehensive tutorial covering definitions, examples, methods, and practice problems.

Identify Place Value of Underlined Digit
1 Basic place value identification
Example 1
Identify the place value of the underlined digit in 5432.
Definition:

Place value: The value of a digit based on its position in a number. Each position has a specific value (ones, tens, hundreds, thousands...).

Method for identifying place value:
  1. Locate the underlined digit in the number
  2. Count positions from the right to identify the place value
  3. Name the place value (ones, tens, hundreds, thousands...)
Thousands
5
Hundreds
4
Tens
3
Ones
2
Number
5,432
Underlined Digit
5
Place Value
Thousands
Step 1: Locate the underlined digit

The underlined digit is 5 in the number 5,432

Step 2: Count positions from the right

Starting from the right: ones (2), tens (3), hundreds (4), thousands (5)

Step 3: Identify the place value

The underlined 5 is in the thousands place

Place value of 5 = thousands
Final answer:

The place value of the underlined 5 in 5,432 is thousands.

Applied rules:

• Position counting: Start from the right (ones place) and move left

• Place value names: Ones, tens, hundreds, thousands, ten thousands...

• Identification: Match digit position to place value name

Tip: Use commas to separate periods and help identify place values easily.
Mistake to avoid: Don't count from left to right - always count from right to left.
2 Different position place value
Example 2
Find the place value of the underlined digit in 7248.
Definition:

Different positions: The same digit can be in different positions with different place values.

Thousands
7
Hundreds
2
Tens
4
Ones
8
Number
7,248
Underlined Digit
4
Place Value
Tens
Step 1: Locate the underlined digit

The underlined digit is 4 in the number 7,248

Step 2: Count positions from the right

Starting from the right: ones (8), tens (4), hundreds (2), thousands (7)

Step 3: Identify the place value

The underlined 4 is in the tens place

Place value of 4 = tens
Final answer:

The place value of the underlined 4 in 7,248 is tens.

Applied rules:

• Position matters: The same digit (4) in different positions has different place values

• Systematic counting: Always count from right to left to identify positions

• Place value names: Each position has a specific name

Tip: Count positions aloud: ones, tens, hundreds, thousands...
Mistake to avoid: Don't confuse place value with the digit's numerical value.
3 Large number place value
Example 3
Identify the place value of the underlined digit in 45,678.
Definition:

Large numbers: Follow the same pattern but include more positions (ten thousands, hundred thousands...).

Hundred Thousands
0
Ten Thousands
4
Thousands
5
Hundreds
6
Tens
7
Ones
8
Number
45,678
Underlined Digit
4
Place Value
Ten Thousands
Step 1: Locate the underlined digit

The underlined digit is 4 in the number 45,678

Step 2: Count positions from the right

Starting from the right: ones (8), tens (7), hundreds (6), thousands (5), ten thousands (4)

Step 3: Identify the place value

The underlined 4 is in the ten thousands place

Place value of 4 = ten thousands
Final answer:

The place value of the underlined 4 in 45,678 is ten thousands.

Applied rules:

• Large numbers: Same process but with more positions

• Higher place values: Ten thousands, hundred thousands, millions...

• Consistent method: Always count from right to left

Tip: Use commas to separate periods and help identify place values.
Mistake to avoid: Don't get confused by the number of digits - always count systematically.
Place Value System & Identification Rules
Place\ Value\ Name = Position\ from\ Right
Place Value Identification Formula
Ones Place
1st from right
Value = digit × 1
Tens Place
2nd from right
Value = digit × 10
Hundreds Place
3rd from right
Value = digit × 100
Thousands Place
4th from right
Value = digit × 1000
Ten Thousands Place
5th from right
Value = digit × 10000
Key definitions:

Place value: The value of a digit based on its position in a number

Position: The location of a digit in a number, counting from the right

Underlined digit: A digit specifically highlighted for place value identification

Place value name: The name given to each position (ones, tens, hundreds, thousands...)

Place value identification method:
  1. Start from the right: Ones, tens, hundreds, thousands...
  2. Count positions: Each position is 10 times larger than the one before
  3. Locate underlined digit: Find the specific digit to identify
  4. Match to place value: Assign the correct place value name
Tip 1: Use commas to separate periods (thousands, millions) to identify place values easily.
Tip 2: Each place value is 10 times the previous one (1, 10, 100, 1000...).
Tip 3: Read the number aloud to help identify place values (five thousand four hundred thirty-two).
Advanced Place Value Identification Concepts
4 Decimal place value identification
Example 4
Identify the place value of the underlined digit in 456.789.
Definition:

Decimal numbers: Include place values to the right of the decimal point (tenths, hundredths, thousandths).

Hundreds
4
Tens
5
Ones
6
Decimal Point
.
Tenths
7
Hundredths
8
Thousandths
9
Number
456.789
Underlined Digit
7
Place Value
Tenths
Step 1: Locate the underlined digit

The underlined digit is 7 in the number 456.789

Step 2: Count positions from the decimal point

Positions to the right of decimal: tenths (7), hundredths (8), thousandths (9)

Step 3: Identify the place value

The underlined 7 is in the tenths place

Place value of 7 = tenths
Final answer:

The place value of the underlined 7 in 456.789 is tenths.

Applied rules:

• Decimal place values: Each position to the right decreases by a factor of 10

• Systematic approach: Count positions from the decimal point

• Accuracy: Ensure each digit is matched to the correct place value

5 Zero place value identification
Example 5
Find the place value of the underlined digit in 7084.
Definition:

Zero digits: Even if a digit is zero, it still has a place value position.

Thousands
7
Hundreds
0
Tens
8
Ones
4
Number
7,084
Underlined Digit
0
Place Value
Hundreds
Step 1: Locate the underlined digit

The underlined digit is 0 in the number 7,084

Step 2: Count positions from the right

Starting from the right: ones (4), tens (8), hundreds (0), thousands (7)

Step 3: Identify the place value

The underlined 0 is in the hundreds place

Place value of 0 = hundreds
Final answer:

The place value of the underlined 0 in 7,084 is hundreds.

Applied rules:

• Zero handling: Zeros still occupy place value positions

• Place value preservation: Every position matters in the number's structure

• Position identification: Count systematically from right to left

Place Value System & Digit Identification Guide
abcde = a×10000 + b×1000 + c×100 + d×10 + e×1
Place Value Formula
Key definitions:

Place value: The value of a digit based on its position in a number

Position: The location of a digit in a number, starting from the right

Standard form: The normal way of writing numbers

Place value name: The name given to each position (ones, tens, hundreds, thousands...)

Complete methodology:
  1. Identify positions: Starting from the right, identify ones, tens, hundreds, thousands...
  2. Count positions: Each position is 10 times larger than the previous
  3. Locate underlined digit: Find the specific digit to identify
  4. Match to place value: Assign the correct place value name
Tip 1: Use commas to separate periods and help identify place values quickly.
Tip 2: Read the number aloud to understand its structure before identifying place values.
Tip 3: Draw a place value chart when working with large or complex numbers.
Common errors: Counting from left to right instead of right to left, confusing place value names, misidentifying positions.
Exam preparation: Practice with various number sizes, pay attention to zeros, memorize place value names.
Place values to know:

• Ones: 1st position from right

• Tens: 2nd position from right

• Hundreds: 3rd position from right

• Thousands: 4th position from right

• Ten Thousands: 5th position from right

• Each place value is 10 times the previous one

Comprehensive Summary: How to Identify Place Value of Underlined Digit
Key Concepts & Definitions:

Place Value: The value of a digit based on its position in a number. Each position is 10 times larger than the position to its right.

Position: The location of a digit in a number, counting from the right (ones, tens, hundreds, thousands...).

Underlined Digit: A digit specifically highlighted for place value identification.

Place Value Name: The specific name given to each position (ones, tens, hundreds, thousands, ten thousands...).

Standard Form: The normal way of writing numbers. Example: 456

Period: A group of three digits separated by commas. Example: 456,789 (456 in the thousands period, 789 in the ones period)

Core Rules & Principles:

• Place Value Progression: Each position increases by a factor of 10 moving left: ..., 100,000, 10,000, 1,000, 100, 10, 1, 0.1, 0.01, 0.001, ...

• Position Counting: Always count from the right to identify place values

• Systematic Approach: Work from right to left (ones → tens → hundreds → thousands...)

• Zero Handling: Zeros still occupy place value positions even though their digit value is 0

• Decimal Places: Positions to the right of the decimal point decrease by a factor of 10: tenths, hundredths, thousandths, etc.

Step-by-Step Methods:
  1. Locate the Underlined Digit: Identify the specific digit to evaluate in the given number
  2. Count Positions from Right: Starting from the rightmost digit (ones place), count positions to the left
  3. Identify Place Value Name: Match the position to its corresponding place value name
  4. State the Answer: Clearly express the place value name
Examples (Simple → Advanced):

Simple: In 5432, the underlined 5 is in the thousands place

Intermediate: In 7248, the underlined 4 is in the tens place

Advanced: In 45,678, the underlined 4 is in the ten thousands place

With Zeros: In 7084, the underlined 0 is in the hundreds place

With Decimals: In 456.789, the underlined 7 is in the tenths place

Large Numbers: In 4,567,890, the underlined 8 is in the hundreds place

Tips: Use commas to separate periods, count positions from right to left, read numbers aloud to understand structure, draw place value charts for complex numbers.
Common Pitfalls: Counting from left to right instead of right to left, confusing place value names, forgetting that zeros still have place values.
Key Takeaways: Place value is fundamental to understanding all arithmetic operations. Counting from right to left is essential. Practice regularly with increasingly complex numbers.

Questions & Answers

Question: Why do I need to count from the right? Why can't I count from the left?

Answer: We count from the right because the place value system is designed that way:

  • Consistency: The ones place is always the rightmost digit, tens is always second from right, hundreds is always third from right...
  • Standard system: This is how mathematicians worldwide have agreed to structure numbers
  • Decimal connection: When we add decimals, the pattern continues: tenths, hundredths, thousandths... to the right of the decimal point

Example: In 5,432:

Right to left: 2 (ones), 3 (tens), 4 (hundreds), 5 (thousands)

If we counted left to right: 5 (ones), 4 (tens), 3 (hundreds), 2 (thousands) - this would be completely wrong!

Question: What happens if there's a zero in the number? Does it still have a place value?

Answer: Yes, zeros still have place values! Here's how to handle them:

  • Zero still occupies a position: In 7,080, the zero is in the hundreds place
  • Place value is preserved: The zero holds the place value position
  • Digit value is 0: (0 × 100) = 0, but the position is still hundreds

Example: In 7084, the underlined 0 is in the hundreds place. Its place value is hundreds, even though its digit value is 0.

Without the zero in 7,084, the number would be 784!

Question: My child is struggling with place value concepts. How can I help them practice at home?

Answer: Here are effective ways to support your child's learning:

  • Use manipulatives: Base-10 blocks or play money to physically represent place values
  • Make it visual: Draw place value charts with columns for each position
  • Practice with real numbers: Prices, ages, distances - make it relevant
  • Play games: "What's the place value of this digit?" with random numbers

Daily practice examples:

• Look at license plates, house numbers, or prices and practice identifying place values

• Start with smaller numbers and gradually increase difficulty

• Encourage your child to read numbers aloud before identifying place values

Remember: Patience and repetition are key. Celebrate small victories to build confidence!