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Base 10 review - Printable Math Worksheets class 5 - Wayground

Base 10 review

Mary Ann Caraco

Created by Mary Ann Caraco

14 questions

5th Grade

Math

Base 10 Review is a Grade 5 mathematics worksheet covering place-value relationships in the base-ten system, powers of 10, decimal multiplication and division, and whole-number operations. Students complete 14 items in varied formats: nine fill-in-the-blank calculations, three multiple-select questions, and two multiple-choice questions. The worksheet asks students to shift decimal values when multiplying or dividing by powers of 10, express numbers in expanded exponential form, and solve addition, subtraction, and multiplication problems. Students also identify the distributive and commutative properties and connect base-ten structure to regrouping and the value of digits. Use this resource for review, independent practice, or a check of prerequisite skills before more advanced work with decimals and multi-digit multiplication. This free printable worksheet includes a complete answer key for efficient checking and feedback.

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Base 10 review

Total questions: 14

Name
Class
Date
1.

5.697 x 100

(a)  

2.

0.0089 x 10^3=

(a)  

3.

4.506 ÷ 100=

(a)  

4.

39.12 ÷ 10^4=

(a)  

5.

Fill in the blanks as needed. You may or may not have to fill in all of them. Be sure to put the x sign in between your numbers. Example: 4x4x4 if I am filling the blanks in with the number 4.

25=2^{5^{ }}=  

___x___x___x___x___x___x___=____

(a)  

6.

Which are the correct expanded forms of: 45,386.089?

a)

4x105+5x104+

3x103+8x102+

6x101+0x10-1+

8x10-2+9x10-3

b)

4x104+5x103+

3x102+8x101+

6x100+0x101+

8x102+9x103

c)

4x104+5x103+

3x102+8x101+

6x100+0x10-1+

8x10-2+9x10-3

d)

(4x104)+(5x103)+(3x102)+(8x101)+(6x100)+(0x10-1)+(8x10-2)+(9x10-3)

7.

256x100=

(a)  

8.

12x8,000=

(a)  

9.

203.87 + 1.2934=

(a)  

10.

201.03 - 198.148=

(a)  

11.

56 x 95=

a)

(56x5) + (56x90)

b)

(6x5)+(50x5)+(6x9)+(50x9)

c)

(6x5)+(50x5)+(6x90)+(50x90)

d)

(50+6)x(90+5)

12.

63x87= (60+3)x(80+7)

is an example of what property?

a)

commutative property

b)

associative property

c)

distributive property

d)

multiplicative identity property

13.

459 x 34 = 34 x 459

is an example of what property?

a)

commutative property

b)

associative property

c)

distributive property

d)

multiplicative identity property

14.

A Base 10 Number system means:

a)

Regrouping once you have a bundle of 10

b)

With every shift in place value, the value of the digits become 10 times greater or 10 times smaller moving left or right

c)

If it is necessary to "borrow" (regroup from the larger place value to the left over to the smaller place value next door), it is always a bundle of 10 that is added to the smaller place value.

d)

Only the numerals 0-9 are used to build our numbers

e)

With every shift to the right in a number, the value of the digits are 110\frac{1}{10} the value of the digits to the left.

WaygroundAnswer Key

Base 10 review

Total questions: 14

1.
569.7
2.
8.9
3.
0.04506, .04506
4.
0.003912, .003912
5.
2x2x2x2x2=32
6.
c)

4x104+5x103+

3x102+8x101+

6x100+0x10-1+

8x10-2+9x10-3

, d)

(4x104)+(5x103)+(3x102)+(8x101)+(6x100)+(0x10-1)+(8x10-2)+(9x10-3)

7.
25600, 25,600
8.
96000, 96,000
9.
205.1634
10.
2.882
11.
a)

(56x5) + (56x90)

, c)

(6x5)+(50x5)+(6x90)+(50x90)

, d)

(50+6)x(90+5)

12.
c)

distributive property

13.
a)

commutative property

14.
a)

Regrouping once you have a bundle of 10

, b)

With every shift in place value, the value of the digits become 10 times greater or 10 times smaller moving left or right

, c)

If it is necessary to "borrow" (regroup from the larger place value to the left over to the smaller place value next door), it is always a bundle of 10 that is added to the smaller place value.

, d)

Only the numerals 0-9 are used to build our numbers

, e)

With every shift to the right in a number, the value of the digits are 110\frac{1}{10} the value of the digits to the left.

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FAQs

What does the Base 10 Review worksheet cover?

This Grade 5 worksheet uses nine fill-in-the-blank items, three multiple-select questions, and two multiple-choice questions to review base-ten place value and related operations. Students multiply and divide decimals by powers of 10, write expanded exponential forms, solve decimal addition, subtraction, and multiplication problems, and identify the distributive and commutative properties.

How can I use this worksheet to teach base-ten place value and powers of 10?

Introduce the fill-in-the-blank items by having students predict how a number changes when it is multiplied or divided by 10, 100, or 10^4, then require them to explain the place-value shift. Use the expanded-form and base-ten multiple-select questions to connect those shifts to powers of 10, and finish by discussing how the selected multiplication expressions illustrate the distributive property.

What mistakes should I watch for on this Base 10 Review worksheet?

Watch for students moving the decimal in the wrong direction or shifting it the wrong number of places, especially in items involving 10^3 and 10^4. Students may also omit negative exponents in expanded form, select only one correct representation in the multiple-select questions, misalign decimal points in addition and subtraction, or confuse the distributive and commutative properties.

How do I assign and grade this Base 10 Review worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading. The PDF option also supports schools that want to reduce screen time while students practise decimal operations and base-ten reasoning.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size so the decimal calculations, exponential notation, and multiple-select choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while preserving its base-ten review format.

Where can I find more free 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 help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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