Expanded Notation Worksheet

Practice converting numbers to and from expanded notation, including decimals and powers of 10, suitable for Grade 11 math students.

Grade 11 Math Number SenseExpanded Notation

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Includes

2 Fill in the BlanksShort AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.6.EE.A.1CCSS.MATH.CONTENT.7.NS.A.2.D

Topics

Expanded NotationNumber SensePlace ValueExponentsDecimals

6 sections · Free to use · Printable

Expanded Notation Practice

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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

Write each number in expanded notation using powers of 10.

1. 5,432,109 =

2. 78,056.23 =

3. 0.00987 =

Write each expanded notation in standard form.

1. (6 × 10^5) + (2 × 10^4) + (8 × 10^2) + (1 × 10^0) =

2. (9 × 10^3) + (5 × 10^1) + (4 × 10^-1) + (7 × 10^-3) =

3. (3 × 10^7) + (1 × 10^6) + (0 × 10^5) + (4 × 10^4) + (2 × 10^3) =

1. A scientist recorded a measurement as (2 × 10^-2) + (5 × 10^-3) + (8 × 10^-5) meters. What is this measurement in standard form?

2. The population of a city is 1,203,500. Write this number in expanded notation using powers of 10.

1. Which of the following represents the number 456.7 in expanded notation?

(4 × 10^2) + (5 × 10^1) + (6 × 10^0) + (7 × 10^-1)

(4 × 10^3) + (5 × 10^2) + (6 × 10^1) + (7 × 10^0)

(4 × 10^2) + (5 × 10^1) + (6 × 10^0) + (7 × 10^1)

(4 × 10^0) + (5 × 10^-1) + (6 × 10^-2) + (7 × 10^-3)