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Powers of Ten - Expanded Form (Level 2)

This math topic focuses on understanding and practicing the concept of expanded form representations using powers of ten, which is an introductory part of studying scientific notation. Students are tasked with converting numbers expressed in exponential form (e.g., \(10^3\), \(10^4\), etc.) into their respective expanded forms (e.g., \(10 \times 10 \times 10\) for \(10^3\)). The problems range from simpler cases such as \(10^0\) or \(10^1\) to more complex ones like \(10^7\), helping students reinforce their understanding of exponential notation and its expanded equivalent. Each question provides multiple choices, requiring students to select the correct expanded form.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Powers of Ten - Expanded Form

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the expanded form of this number raised to its exponent

10010^{0}

Powers of Ten - Expanded Form Worksheet

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Math worksheet on 'Powers of Ten - Expanded Form (Level 2)'. Part of a broader unit on 'Scientific Notation - Intro' Learn online: app.mobius.academy/math/units/scientific_notation_intro/
1
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 6
a A LaTex expression showing 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6 multiplied by 6
b A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
c A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10
d A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
e A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
f A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
2
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 4
a A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
b A LaTex expression showing 10 multiplied by 10
c A LaTex expression showing 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4 multiplied by 4
d A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10
e A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
f A LaTex expression showing 10 multiplied by 10 multiplied by 10
3
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 0
a A LaTex expression showing 1
b A LaTex expression showing 10 multiplied by 10
c A LaTex expression showing 10
d A LaTex expression showing 1 over 10 multiplied by 10
e A LaTex expression showing 1 over 10
f A LaTex expression showing 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0 multiplied by 0
4
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 5
a A LaTex expression showing 10 multiplied by 10 multiplied by 10
b A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
c A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
d A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10
e A LaTex expression showing 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5 multiplied by 5
f A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
5
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 3
a A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10
b A LaTex expression showing 10 multiplied by 10
c A LaTex expression showing 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3
d A LaTex expression showing 10
e A LaTex expression showing 10 multiplied by 10 multiplied by 10
f A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
6
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 7
a A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
b A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
c A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
d A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
e A LaTex expression showing 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7 multiplied by 7
f A LaTex expression showing 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10
7
Find the expanded form of this number raised to its exponent
A LaTex expression showing 10 to the power of 1
a A LaTex expression showing 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 1
b A LaTex expression showing 10
c A LaTex expression showing 10 multiplied by 10 multiplied by 10
d A LaTex expression showing 10 multiplied by 10
e A LaTex expression showing 1
f A LaTex expression showing 1 over 10