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SOL 7.1a: Negative Powers of 10 - Printable Mathematics Worksheets - Wayground

SOL 7.1a: Negative Powers of 10

10 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students focused practice with negative powers of 10. Across 10 multiple-choice questions, students identify equivalent fractions and decimals, determine which representations are not equivalent, and evaluate powers of 10 with exponents such as zero. One item directly addresses the misconception that a negative exponent creates a negative number, helping students distinguish a negative exponent from a negative value. The worksheet is useful for introducing or reviewing the connection between negative exponents, reciprocals, and decimal place value. Students must compare several forms of the same power, convert between fraction and decimal representations, and recognize when an option does not match. This free printable worksheet includes a complete answer key for efficient checking and can support independent practice, guided review, or a short formative assessment.

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SOL 7.1a: Negative Powers of 10

Total questions: 10

Name
Class
Date
1.

Which fraction and decimal are equivalent to 10−310^{-3} ?

a)

−1103-\frac{1}{10^3} and −0.003-0.003

b)

1103\frac{1}{10^3} and −0.003-0.003

c)

−1103-\frac{1}{10^3} and 0.0010.001

d)

1103\frac{1}{10^3} and 0.0010.001

2.

Which decimal is equivalent to 10−710^{-7} ?

a)

0.0000007

b)

0.000001

c)

0.0000001

d)

-0.0000001

3.

Which of the following is NOT equivalent to 10−410^{-4} ?

a)

110,000\frac{1}{10,000}

b)

−110,000-\frac{1}{10,000}

c)

0.00010.0001

d)

110⋅110⋅110⋅110\frac{1}{10}\cdot\frac{1}{10}\cdot\frac{1}{10}\cdot\frac{1}{10}

4.

A negative exponent creates a negative number.

a)

True

b)

False

5.

Which of the following is equivalent to 110⋅110\frac{1}{10}\cdot\frac{1}{10}

a)

10−210^{-2}

b)

110−2\frac{1}{10^{-2}}

c)

0.02

d)

-0.01

6.

Which of the following is equivalent to 0.000010.00001 ?

a)

−110⋅−110⋅−110⋅−110⋅−110-\frac{1}{10}\cdot-\frac{1}{10}\cdot-\frac{1}{10}\cdot-\frac{1}{10}\cdot-\frac{1}{10}

b)

1105\frac{1}{10^5}

c)

110−5\frac{1}{10^{-5}}

d)

10510^5

7.

Which of the following is NOT equivalent to 0.0010.001 ?

a)

10−310^{-3}

b)

11,000\frac{1}{1,000}

c)

110⋅10⋅10\frac{1}{10\cdot10\cdot10}

d)

−11,000-\frac{1}{1,000}

8.

What is the fraction and decimal equivalent for 10−210^{-2} ?

a)

1100\frac{1}{100} and 0.020.02

b)

1102\frac{1}{10^2} and 0.020.02

c)

−1100-\frac{1}{100} and 0.010.01

d)

1102\frac{1}{10^2} and 0.010.01

9.

Which of the following is NOT equivalent to 10−510^{-5} ?

a)

10⋅10⋅10⋅10⋅1010\cdot10\cdot10\cdot10\cdot10

b)

110⋅110⋅110⋅110⋅110\frac{1}{10}\cdot\frac{1}{10}\cdot\frac{1}{10}\cdot\frac{1}{10}\cdot\frac{1}{10}

c)

0.000010.00001

d)

110⋅10⋅10⋅10⋅10\frac{1}{10\cdot10\cdot10\cdot10\cdot10}

10.

10010^0 =?

a)

0

b)

1

c)

10

d)

0.1

WaygroundAnswer Key

SOL 7.1a: Negative Powers of 10

Total questions: 10

1.
d)

1103\frac{1}{10^3} and 0.0010.001

2.
c)

0.0000001

3.
b)

−110,000-\frac{1}{10,000}

4.
b)

False

5.
a)

10−210^{-2}

6.
b)

1105\frac{1}{10^5}

7.
d)

−11,000-\frac{1}{1,000}

8.
d)

1102\frac{1}{10^2} and 0.010.01

9.
a)

10⋅10⋅10⋅10⋅1010\cdot10\cdot10\cdot10\cdot10

10.
b)

1

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FAQs

What does this worksheet cover?

This Grade 7 worksheet focuses on converting negative powers of 10 into equivalent fractions and decimals and recognizing non-equivalent representations. Its 10 multiple-choice questions also address the misconception that a negative exponent makes a number negative and include evaluating a power of 10 with an exponent of zero.

How can I use this worksheet to teach negative powers of 10?

First model a negative power of 10 as a reciprocal, then connect the reciprocal to its decimal place-value representation. As students complete the multiple-choice items, ask them to explain why each selected fraction or decimal is equivalent and why the distractors, including negative values caused by misreading the exponent, are not correct.

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

Watch for students treating a negative exponent as a negative number, moving the decimal the wrong number of places, or selecting a fraction and decimal that do not represent the same power of 10. Students may also overlook the word “NOT” in several questions or forget that a power of 10 with an exponent of zero equals 1.

How do I assign and grade this worksheet?

This negative powers of 10 worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned and checked online.

How can I differentiate this negative powers of 10 worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the fraction-and-decimal choices and multiple-choice directions are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet instructions into another language when those options support access to the negative powers of 10 practice.

Where can I find more worksheets like this on Wayground?

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

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