Exponents And Scientific Notation Quiz

  • CCSS.Math.Content.8.EE.A.1
  • CCSS.Math.Content.8.EE.A.4
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Quizzes Created: 9 | Total Attempts: 5,266
| Attempts: 429 | Questions: 21 | Updated: Mar 19, 2025
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1) Write 451000 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The number 451000 can be expressed in scientific notation as 4.51x10^5. In scientific notation, the number is written as a decimal number between 1 and 10 (in this case, 4.51) multiplied by a power of 10 (in this case, 10^5). The exponent 5 indicates that the decimal point is moved 5 places to the right to obtain the original number.

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About This Quiz
Exponents And Scientific Notation Quiz - Quiz

This Exponents and Scientific Notation Quiz assesses the ability to convert numbers into scientific notation. It tests understanding of exponent rules through practical examples, enhancing numerical literacy and precision in scientific data representation.

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2) open parentheses 5 over 6 close parentheses to the power of negative 1 end exponent equals ?

Explanation

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3) open parentheses 2 over 3 close parentheses to the power of negative 1 end exponent equals ?

Explanation

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4) Write 4500000 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The given number 4500000 can be written in scientific notation as 4.5x10^6. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 (in this case, 4.5) and a power of 10 (in this case, 10^6). This notation is commonly used to represent very large or very small numbers in a concise and standardized format.

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5) Write 0.00715 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The given number, 0.00715, can be written in scientific notation as 7.15x10^-3. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. In this case, the decimal number is 7.15, and the power of 10 is -3, indicating that the decimal point should be moved three places to the left to obtain the original number.

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6) Write 4500000 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The given number, 4500000, can be expressed in scientific notation as 4.5x10^6. In scientific notation, the first part of the number should be between 1 and 10, so we divide 4500000 by 10^6 to get 4.5. The exponent, 6, indicates that we need to move the decimal point 6 places to the right to get the original number. Therefore, the number 4500000 can be written as 4.5x10^6 in scientific notation.

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7) 2 to the power of negative 3 end exponent equals ?

Explanation

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8) 4 cross times 10 to the power of 8 is 2000 times as large as what number?Write your answer in decimal notation.

Explanation

The given answer, 200000,200,000, is in decimal notation and represents the number that is 2000 times larger than the unknown number.

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9) open parentheses 4 over 3 close parentheses to the power of negative 4 end exponent equals ?

Explanation

open parentheses 4 over 3 close parentheses to the power of negative 4 end exponent equals open parentheses 3 over 4 close parentheses to the power of 4 equals 81 over 216
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10) Write 0.000456 in scientific notation.Example:  5.6 cross times 10 to the power of 4= 5.6x10^4       No spaces necessary.

Explanation

The given number, 0.000456, can be written in scientific notation as 4.56x10^-4. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10, and a power of 10. In this case, the decimal number is 4.56, and the power of 10 is -4. The negative exponent indicates that the number is less than 1.

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11) Rewrite 4 cross times 10 to the power of 6 in decimal notation.

Explanation

The given answer, 4000000, is already in decimal notation.

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12) 4 cross times 10 cubed is 20 times as large as what number?Write your answer in decimal notation.

Explanation

The given answer is 200. This means that the number being referred to is 1/20th of 200. In other words, if we multiply the unknown number by 20, we will get 200. Therefore, the unknown number is 10.

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13) 3 to the power of negative 2 end exponent equals ?

Explanation

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14) Rewrite 4 cross times 10 to the power of 5 in decimal notation.

Explanation

The given answer is 400000. This is the correct answer because it matches the first number in the list, which is 400000.

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15) Write 0.000456 in scientific notation.Example:  5.6 cross times 10 to the power of 4= 5.6x10^4       No spaces necessary.

Explanation

The given number, 0.000456, can be expressed in scientific notation as 4.56x10^-4 or 4.56*10^-4. In scientific notation, the number is written as a decimal between 1 and 10, multiplied by a power of 10. In this case, the decimal is 4.56 and the power of 10 is -4, indicating that the decimal needs to be moved 4 places to the right to obtain the original number.

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16) Write 0.00715 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The given number, 0.00715, can be expressed in scientific notation as 7.15x10^-3 or 7.15*10^-3. In scientific notation, a number is written in the form of a decimal number between 1 and 10 multiplied by a power of 10. In this case, the decimal number is 7.15, and it is multiplied by 10 raised to the power of -3, indicating that the decimal point should be moved three places to the left.

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17) open parentheses 3 over 2 close parentheses to the power of negative 4 end exponent equals ?

Explanation

open parentheses 3 over 2 close parentheses to the power of negative 4 end exponent equals open parentheses 2 over 3 close parentheses to the power of 4 equals 16 over 81
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18) Rewrite 4 cross times 10 cubed in decimal notation.

Explanation

The given question asks to rewrite the number 4000 in decimal notation. The number 4000 is already in decimal notation, so there is no need to rewrite it.

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19) Write 451000 in scientific notation.Example: 5.6 cross times 10 to the power of 4 = 5.6x10^4       No spaces necessary.

Explanation

The given number, 451000, can be expressed in scientific notation as 4.51x10^5. In scientific notation, the number is written as a decimal between 1 and 10 (in this case, 4.51) multiplied by a power of 10 (in this case, 10^5). This notation is used to represent very large or very small numbers in a concise and standardized format.

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20) Mercury is 4,632,000,000 year old.Estimate the age of Mercury by writing it in the form of x times 10 to the power of y years, where x and y are single-digit numbers.

Explanation

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21) How many times larger is 2 cross times 10 to the power of 5 than 8 cross times 10 to the power of 9

Explanation

The given question asks for the comparison of a number with 40000. The answer 1/40000 indicates that the number is 40000 times smaller than 40000.

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Write 451000 in scientific notation.Example:  = 5.6x10^4  ...
Write 4500000 in scientific notation.Example:  = 5.6x10^4  ...
Write 0.00715 in scientific notation.Example:  = 5.6x10^4  ...
Write 4500000 in scientific notation.Example:  = 5.6x10^4  ...
 is 2000 times as large as what number?Write your answer in...
Write 0.000456 in scientific notation.Example:  = 5.6x10^4  ...
Rewrite  in decimal notation.
 is 20 times as large as what number?Write your answer in decimal...
Rewrite  in decimal notation.
Write 0.000456 in scientific notation.Example:  = 5.6x10^4  ...
Write 0.00715 in scientific notation.Example:  = 5.6x10^4  ...
Rewrite  in decimal notation.
Write 451000 in scientific notation.Example:  = 5.6x10^4  ...
Mercury is 4,632,000,000 year old.Estimate the age of Mercury by...
How many times larger is  than 
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