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Place Value: Representing Values - Printable Mathematics Worksheets year 3 - Wayground

Place Value: Representing Values

11 questions

3rd - 3rd Grade

Mathematics

Place Value: Representing Values is a Grade 3 mathematics worksheet that builds fluency in moving among visual models, standard form, expanded form, and word form. Students complete 11 items: five multiple-choice questions, four matching tasks, and two fill-in-the-blank questions. The practice includes reading models, matching expanded and word forms to numerals, writing numbers such as 5,064 and 3,096 in standard form, identifying the word form of 201,036, and naming the place value of a digit. This free printable worksheet helps students connect the way a quantity is represented to the value of each digit, including numbers in the thousands and hundred-thousands places. Use it for guided practice, independent work, review, or a quick check of whether students can accurately read, compose, and decompose multi-digit numbers. A complete answer key is included so teachers can review matching, multiple-choice, and fill-in-the-blank responses efficiently.

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Place Value: Representing Values

Total questions: 11

Name
Class
Date
1.

What quantity does the model represent?

a)

245

b)

542

c)

425

d)

200

2.

Match the expanded forms with the correct number.

600 + 20 + 8

628

600 + 10 + 7

617

600 + 90

690

3.

Match the word forms with the correct number.

sixty

60

sixteen

16

six hundred

600

4.

Match the word forms with the correct number.

two hundred thirty-one

231

three hundred twenty-one

321

three hundred twelve

312

5.

What is

Five thousand sixty-four

in standard form?

a)

5,064

b)

5,604

c)

5,640

d)

6,504

6.

What quantity does the model represent?

(a)  

7.

What quantity does the model represent in word form?

a)

two thousand

three hundred

fifty-three

b)

three thousand

two hundred

fifty-three

c)

three thousand

five hundred

twenty-three

8.

Match the following models to the correct word form.

forty-five

fifty-four

forty-three

thirty-five

9.

201,036

Which is the word form for the quantity above?

a)

two hundred one thousand

thirty-six

b)

twenty-one thousand

thirty-six

c)

two thousand

one hundred

thirty-six

d)

two hundred thousand

three hundred six

10.

3,000 + 90 + 6

Write this number in standard form (the regular way).

(a)  

11.

The digit 5 is in which place value?

a)

ten thousands

b)

hundred thousands

c)

thousands

d)

hundreds

Answer Key

Place Value: Representing Values

Total questions: 11

1.
a)

245

2.

600 + 20 + 8

 - 

628

, 

600 + 10 + 7

 - 

617

, 

600 + 90

 - 

690

3.

sixty

 - 

60

, 

sixteen

 - 

16

, 

six hundred

 - 

600

4.

two hundred thirty-one

 - 

231

, 

three hundred twenty-one

 - 

321

, 

three hundred twelve

 - 

312

5.
a)

5,064

6.
1,284, 1284, 1 ,284, 1, 284
7.
a)

two thousand

three hundred

fifty-three

8.
 - 

forty-five

,  - 

fifty-four

,  - 

forty-three

,  - 

thirty-five

9.
a)

two hundred one thousand

thirty-six

10.
3,096, 3096, 3 096, 3 ,069
11.
a)

ten thousands

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FAQs

What does the Place Value: Representing Values worksheet cover?

This Grade 3 worksheet practices representing multi-digit numbers in visual models, standard form, expanded form, and word form, along with identifying the place value of a digit. Its 11 items use multiple choice, matching, and fill-in-the-blank formats, requiring students to connect representations such as 5,064, its word form, and its place-value structure.

How can I use this worksheet to teach representing numbers in different forms?

Begin by modeling one visual quantity and having students explain how its digits correspond to the represented values. Then guide students through one expanded-form match and one word-form match before assigning the remaining model, standard-form, and place-value items independently. Ask students to justify choices by naming the value of each nonzero digit, especially in numbers such as 3,096 and 201,036.

What mistakes should I watch for on this place value worksheet?

Students may reverse digit order when reading a model or word form, omit a zero place when writing numbers such as 5,064 or 3,096, or confuse a digit with the place value it occupies. In the matching items, watch for students who match based on a familiar digit instead of checking the entire expanded or word form. The fill-in-the-blank items also provide a useful check for comma placement and accurate standard notation.

How do I assign and grade this Place Value: Representing Values worksheet?

On Wayground, assign this worksheet either as a printable PDF or as a digital quiz. It includes a complete answer key for the five multiple-choice, four matching, and two fill-in-the-blank items; printable submissions can also be graded by scanning student work with the Wayground for Teachers app. The printable format can support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size for students who need more room to read the visual-model prompts, matching choices, or number forms. You can also enable a dyslexia-friendly font or translate the worksheet into another language, which may make the place-value vocabulary and word-form items easier to access.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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