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Expanded Notation Worksheet

A worksheet for 8th graders to practice writing numbers in expanded notation using powers of 10 and decimals.

Grade 8 Math Number SenseExpanded Notation
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Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.3

Topics

Expanded NotationPowers of 10DecimalsGrade 8 Math
6 sections · Free to use · Printable
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Expanded Notation Practice

Name:

Date:

Score:

Write each number in expanded notation using powers of 10. For decimals, use negative powers of 10.

1. 3,456 = (3 × 10^3) +  

2. 78,012 =  

3. 509.23 =  

4. 0.045 =  

5. Write the number represented by: (6 × 10^4) + (2 × 10^3) + (0 × 10^2) + (9 × 10^1) + (1 × 10^0)

6. Write the number represented by: (8 × 10^1) + (3 × 10^0) + (5 × 10^-1) + (7 × 10^-2)

7. Which of the following is the expanded notation for 2,075.1?

a

(2 × 10^3) + (7 × 10^1) + (5 × 10^0) + (1 × 10^-1)

b

(2 × 10^4) + (7 × 10^2) + (5 × 10^1) + (1 × 10^0)

c

(2 × 10^3) + (7 × 10^2) + (5 × 10^1) + (1 × 10^-1)

d

(2 × 10^3) + (0 × 10^2) + (7 × 10^1) + (5 × 10^0) + (1 × 10^1)

8. The number 4.006 in expanded notation is (4 × 10^0) + (6 × 10^-3).

T

True

F

False