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Expanded form using powers of 10 - Printable Math Worksheets 5th Grade - Wayground

Expanded form using powers of 10

Deleted User

Created by Deleted User

10 questions

5th Grade

Math

Updated Sep 2026

Expanded Form Using Powers of 10 is a Grade 5 mathematics worksheet focused on connecting place value to expanded notation. It asks students to interpret whole numbers and decimals, convert between standard, expanded, and word forms, and identify the value represented by tenths, hundredths, and thousandths. The questions use multiple-choice answer choices, so students must compare place values and recognize equivalent representations rather than simply calculate. This free printable worksheet is designed for Grade 5 classrooms, intervention, homework, or independent review. It provides targeted practice with examples such as 528.1, 7,802, 32,785, 64,879, and 6.084, helping learners notice how each digit is multiplied by its place value and how zero places affect notation. It includes a complete answer key so teachers can check understanding and students can correct representation errors.

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Expanded form using powers of 10

Total questions: 10

Name
Class
Date
1.

Write 528.1 in expanded form using powers of 10.

a)

500+20+8+1/10

b)

(5*1000)+(2*100)+(8*1)+(1*10)

c)

(5*100)+(2*10)+(8*1)+(1*1/10)

d)

none of the above are correct

2.
Write the number in expanded form:
seven hundred fifty-five and twenty eight hundredths
a)
(5 x 100) + (7 x 10) + (2 x 1) + (5 x 0.1) + 
(8 x 0.01)
b)
(7 x 100) + (5 x 10) + (5 x 1) + (2 x 0.1) +
(8 x 0.01)
c)
(7 x 1,000) + (5 x 100) + (5 x 10) + (2 x 0.1) + 
(8 x 0.01)
d)
(2 x 100) + (8 x 10) + (2 x 1) + (7 x 0.1) + 
(8 x 0.01)
3.
Write the number in word form:
(2 x 100) + (6 x 10) +
(1 x 1) + (4 x 0.1) + (4 x 0.01)
a)
two hundred sixty-two and forty-three hundredths
b)
two hundred sixty-one and forty-four hundredths
c)
two hundred sixty and forty-four hundredths
d)
two hundred sixty-two and forty hundredths
4.

which is written in standard form ?

a)

600+20+3

b)

six hundred twenty six

c)

6 thousands 4 hundreds 3 ones

d)

6,458

5.

What is the correct way to write 32,785 in expanded form

a)

32 thousand seven hundred 85

b)

30,000+2,000+700+80+5

c)

32,000+700+85

d)

thirty two thousand seven hundred eighty five

6.
What is 7,802 written in expanded notation?
a)
(7 x 1000) + (8 x 100) + (2 x 1)
b)
(7 + 1000) x (8 + 100) x (2 + 1)
c)
7 x 1000 + 8 x 100 + 0 x 10 + 2 x 1
d)
7000  + 800 + 2
7.
What is (2 x 1000) + (3 x 10) written in standard notation?
a)
2,000 + 30
b)
2,300
c)
2,030
d)
2,310
8.
Which shows 64,879 in expanded form?
a)
6+4+8+7+9
b)
600,000+4,000+80+79
c)
60,000+4,000+800+70+9
d)
60,000+400+80+70+9
9.
What is her monkey's friends name?
What is her monkey's friends name?
a)
Swiper
b)
Cocodrillo
c)
Back pack
d)
Boots
10.
Which number represents six and eighty-four thousandths in standard form?  
a)
(6 x 1) + (8 x 1/100) + (4 x 1/1000)
b)
6.84
c)
(6 x 1) + (8 x 1/10) + (4 x 1/100)
d)
6.084
WaygroundAnswer Key

Expanded form using powers of 10

Total questions: 10

1.
c)

(5*100)+(2*10)+(8*1)+(1*1/10)

2.
b) (7 x 100) + (5 x 10) + (5 x 1) + (2 x 0.1) +
(8 x 0.01)
3.
b) two hundred sixty-one and forty-four hundredths
4.
d)

6,458

5.
b)

30,000+2,000+700+80+5

6.
a) (7 x 1000) + (8 x 100) + (2 x 1)
7.
c) 2,030
8.
c) 60,000+4,000+800+70+9
9.
d) Boots
10.
d) 6.084

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FAQs

What does this expanded form worksheet cover?

This Grade 5 worksheet helps students convert whole numbers and decimals between standard, expanded, and word forms using place value. Its multiple-choice items require learners to match digits with values such as thousands, ones, tenths, hundredths, and thousandths, including numbers with zero places such as 7,802 and 6.084.

How can I use this worksheet to teach expanded form using powers of 10?

First model one item, such as 528.1, by linking each digit to its place value before students work through the multiple-choice questions. Ask students to explain why the 8 represents ones, why the 1 represents one tenth, and how the same reasoning applies when they write 32,785 or 6.084 in another form.

What mistakes should I watch for when students complete this place-value worksheet?

Watch for students matching a digit with the wrong place value, especially confusing tenths with hundredths or thousandths in decimal items. Students may also omit a zero place in numbers such as 7,802, treat expanded terms as a digit string, or confuse expanded form with standard or word form when selecting an answer.

How do I assign and grade this worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the standard, expanded, and word-form questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this expanded-form worksheet for my students?

Under the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the place-value expressions and multiple-choice options easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its standard-form, expanded-form, and decimal items intact.

Where can I find more worksheets like this on Wayground?

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

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