Maths Library

Place Value: Grade 4 math

This topic develops understanding of the positional value of digits in whole numbers across ones, tens, hundreds, and beyond. Pupils practise partitioning numbers, identifying the value of underlined digits, and writing numbers in expanded form.

Open in full editor

What this covers

Place Value is taught in Grade 4 (age 9 to 10) as a topic to introduce. It sits in the Number strand.

Worked example

What is the value of the digit 7 in the number 4,729

  1. Identify the place of each digit from right to left: 9 is ones, 2 is tens, 7 is hundreds.
  2. The digit 7 represents 7 hundreds.
  3. Write this value in figures: 700.

Answer: 700

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Identifying tens and ones in 2-digit numbers with visual base-ten blocks
  2. Value of digits in 3-digit numbers and expanded form
  3. Value of digits and partitioning in 4-digit numbers up to 10,000
  4. Working with numbers up to 1,000,000 including flexible partitioning
  5. Large numbers up to 10,000,000 including powers-of-ten multipliers

Common mistakes

  • Writing the face value instead of the place value (e.g., saying the value of 7 in 72 is 7 rather than 70)
  • Omitting zero as a placeholder when converting written forms to digits

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 4.NBT.A.2 Read, write, and compare multi-digit whole numbers using base-ten numerals and place value.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Place Value

Grade 4 math

Qs
6
Marks
12
NameDateScore / 12
1.
What is the value of the digit 8 in 759 789?
[2]
2.
What is the value of the digit 9 in 357 492?
[2]
3.
What is the value of the digit 3 in 124 305?
[2]
4.
What is the value of the digit 6 in 110 296?
[2]
5.
What is the value of the digit 8 in 367 768?
[2]
6.
What is the value of the digit 9 in 188 439?
[2]

Answer key

  1. 80The 8 is in the tens place; Its value is 80
  2. 90The 9 is in the tens place; Its value is 90
  3. 300The 3 is in the hundreds place; Its value is 300
  4. 6The 6 is in the ones place; Its value is 6
  5. 8The 8 is in the ones place; Its value is 8
  6. 9The 9 is in the ones place; Its value is 9