0366 Locating Values On A Log Base 10 Scale

  • CCSS.Math.Content.HSF-IF.C.7
  • CCSS.Math.Content.HSF-LE.A.4
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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 47,830
| Attempts: 234 | Questions: 35 | Updated: Mar 20, 2025
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1) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 97 fall? 

Explanation

The number 97 falls between 10^1 and 10^2 on a logarithmic scale with a base of 10. In other words, it falls between 10 and 100.

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0366 Locating Values On A Log Base 10 Scale - Quiz

This quiz titled '0366 Locating Values on a Log Base 10 Scale' tests understanding of logarithmic scales. Participants identify the log base 10 values for given numbers, enhancing skills in interpreting logarithmic data relevant in various mathematical contexts.

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2) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 67 fall? 

Explanation

The number 67 would fall between the values 1 and 2 on the logarithmic scale.

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3) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 86499 fall? 

Explanation

The number 86499 falls between 10^4 and 10^5 on the number line with a scale of Log Base 10. This means that it falls between 4 and 5 on the logarithmic scale.

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4) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 36794 fall? 

Explanation

The number 36794 falls between the values 4 and 5 on the log base 10 scale because it is greater than 10^4 (10,000) but less than 10^5 (100,000).

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5) Below is a number line in a Log Base 10 Scale. We know the log of 32 is 1.51. If I plot the number 371 on this line, which number will it be closest to?

Explanation

The number 371 is closer to 3 on the number line because the logarithm of 371 is approximately 2.57, which is closer to 3 than to any other number on the number line.

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6) Below is a number line in a Log Base 10 Scale. If I plot the number 2079 on this line, which number will it be closest to?

Explanation

The number 2079 is plotted on a number line in a Log Base 10 Scale. Since the number line is in a log scale, the numbers are spaced out exponentially. The number 2079 will be closest to the number 3 because it is closer to 3 than any other number on the number line.

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7) Below is a number line in a Log Base 10 Scale. If I plot the number 38178 on this line, which number will it be closest to?

Explanation

The number 38178 falls between 10^4 and 10^5 on the logarithmic scale. Since the number line is in a log base 10 scale, the number closest to 38178 would be 10^5, which is equal to 100000.

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8) Below is a number line in a Log Base 10 Scale. If I plot the number 3681 on this line, which number will it be closest to?

Explanation

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9) Below is a number line in a Log Base 10 Scale. If I plot the number 425 on this line, which number will it be closest to?

Explanation

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10) Below is a number line in a Log Base 10 Scale. If I plot the number 4120 on this line, which number will it be closest to?

Explanation

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11) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 912 fall? 

Explanation

The number 912 falls between the values 2 and 3 on the log base 10 number line.

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12) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 1254 fall? 

Explanation

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13) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 134 fall? 

Explanation

The number 134 falls between the values 2 and 3 on the logarithmic scale because it is greater than 100 (10^2) and less than 1000 (10^3).

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14) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 125 fall? 

Explanation

The number 125 falls between the values 2 and 3 on a logarithmic scale with a base of 10.

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15) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 5640 fall? 

Explanation

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16) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 13567 fall? 

Explanation

The number 13567 would fall between the values 10^4 and 10^5 on the number line. In log base 10, 10^4 is equal to 10,000 and 10^5 is equal to 100,000. Therefore, the number 13567 would fall between 10,000 and 100,000, which corresponds to the range 4 - 5 on the number line.

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17) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 8420 fall? 

Explanation

The number 8420 would fall between the values 3 and 4 on the log base 10 number line.

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18) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 3640 fall? 

Explanation

The number 3640 falls between the values 3 and 4 on the logarithmic scale because it is greater than 1000 (10^3) but less than 10000 (10^4).

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19) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 3.5 fall? 

Explanation

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20) Below is a number line in a Log Base 10 Scale. If I plot the number 3 on this line, which number will it be closest to?

Explanation

When plotting the number 3 on a number line in a Log Base 10 Scale, it will be closest to 0. This is because in a logarithmic scale, the numbers increase exponentially as they move away from zero. Since 3 is a relatively small number, it will be closest to 0 on the logarithmic scale.

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21) Below is a number line in a Log Base 10 Scale. If I plot the number 29 on this line, which number will it be closest to?

Explanation

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22) Below is a number line in a Log Base 10 Scale. If I plot the number 298745 on this line, which number will it be closest to?

Explanation

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23) Below is a number line in a Log Base 10 Scale. If I plot the number 19781 on this line, which number will it be closest to?

Explanation

When plotting the number 19781 on a number line in a Log Base 10 Scale, it will be closest to the number 4.

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24) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 4.5 fall? 

Explanation

The number 4.5 would fall between 0 and 1 on the log base 10 scale because log values increase as the input values increase. Since 4.5 is greater than 1 but less than 10, it would fall between the log values of 0 and 1.

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25) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 1.5 fall? 

Explanation

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26) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 35 fall? 

Explanation

The number 35 falls between the values 1 and 2 on the log base 10 scale.

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27) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 42 fall? 

Explanation

The number 42 falls between 10^1 and 10^2 on a logarithmic scale with a base of 10. This means that 42 is greater than or equal to 10^1 (which is 10) and less than 10^2 (which is 100). Therefore, the number 42 falls between the values 1 and 2 on the number line.

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28) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 81 fall? 

Explanation

The number 81 falls between the values of 1 and 2 on the log base 10 scale.

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29) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 64872 ? 

Explanation

The number 64872 falls between the values 10^4 and 10^5 on the number line with a scale of Log Base 10.

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30) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 94561 fall? 

Explanation

The number 94561 is between 10^4 and 10^5 on a logarithmic scale with a base of 10. This means that it would fall between the values of 4 and 5 on the number line.

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31) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 791 fall? 

Explanation

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32) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 578 fall? 

Explanation

The number 578 falls between the values 2 and 3 on the log scale because it is greater than 100 (10^2) and less than 1000 (10^3).

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33) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 5671 fall? 

Explanation

The number 5671 is between 1000 (10^3) and 10000 (10^4) on the number line with a scale of Log Base 10. In log form, this would be between log(1000) and log(10000), which is equivalent to 3 and 4.

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34) Below is a number line with a scale of Log Base 10. Between which two values would the number 2.5 fall? 

Explanation

The number 2.5 would fall between 1 and 2 on the number line with a scale of Log Base 10.

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35) Below is a number line with a scale of Log Base 10. If converted to a log, between which two values would the number 7 fall? 

Explanation

The number 7 would fall between 0 and 1 on the log base 10 scale because log(7) is approximately 0.845.

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