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Number Forms - Worksheet 8 - 3rd Grade

Hard

Convert between standard form and expanded form, including numbers with a zero in one place.

hard: Convert between standard and expanded form with four-digit numbers.

18 problems · 10-15 minutes · Skills: place value, number sense

About This Worksheet

This hard-level worksheet contains 18 problems designed for 3rd Grade students practicing standard, word, and expanded form. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Identify ones, tens, hundreds and thousands.

  • Convert between standard form and expanded form, including numbers with a zero in one place.
  • A zero holds a place. It does not move the other digits.

How to Solve: Worked Example

Example Problem: Write 407 in expanded form.
Solution Steps:
  1. The 4 represents 4 hundreds: 400.
  2. The tens digit is 0, so there are no tens to add.
  3. The 7 represents 7 ones.
Answer: 400 + 7
Tip: A zero holds a place. It does not move the other digits.
1
Write 3152 in expanded form.
2
Write 1000 + 30 + 7 in standard form.
3
Write 3674 in expanded form.
4
Write 9000 + 600 + 70 + 5 in standard form.
5
Write 7442 in expanded form.
6
Write 6000 + 400 + 30 + 1 in standard form.
7
Write 8128 in expanded form.
8
Write 9000 + 700 + 20 + 3 in standard form.
9
Write 6197 in expanded form.
10
Write 1000 + 300 + 70 + 2 in standard form.
11
Write 4838 in expanded form.
12
Write 2000 + 900 + 40 + 4 in standard form.
13
Write 4858 in expanded form.
14
Write 5000 + 400 + 90 + 6 in standard form.
15
Write 8500 in expanded form.
16
Write 3000 + 100 + 90 + 1 in standard form.
17
Write 9396 in expanded form.
18
Write 4000 + 800 + 90 + 9 in standard form.

Answer Key

1. 3000 + 100 + 50 + 22. 10373. 3000 + 600 + 70 + 44. 96755. 7000 + 400 + 40 + 26. 64317. 8000 + 100 + 20 + 88. 97239. 6000 + 100 + 90 + 710. 137211. 4000 + 800 + 30 + 812. 294413. 4000 + 800 + 50 + 814. 549615. 8000 + 50016. 319117. 9000 + 300 + 90 + 618. 4899

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Frequently Asked Questions

How do I download this number forms - worksheet 8 worksheet?

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How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this place value worksheet cover?

This worksheet focuses on place value, number sense. It is designed for 3rd Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 10-15 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.