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What is the result of adding 12.345 and 6.78, considering significant figures?
What is the result of adding 12.345 and 6.78, considering significant figures?
When subtracting 8.90 from 12.003, what is the correct answer based on significant figures?
When subtracting 8.90 from 12.003, what is the correct answer based on significant figures?
If you multiply 2.345 by 6.78, what is the correct answer considering significant figures?
If you multiply 2.345 by 6.78, what is the correct answer considering significant figures?
What is the result of dividing 12.003 by 8.90, considering significant figures?
What is the result of dividing 12.003 by 8.90, considering significant figures?
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What is the correct result of adding 3.45 x $10^5$ and 6.78 x $10^5$?
What is the correct result of adding 3.45 x $10^5$ and 6.78 x $10^5$?
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What is the correct result of subtracting 6.78 x $10^5$ from 3.45 x $10^5$?
What is the correct result of subtracting 6.78 x $10^5$ from 3.45 x $10^5$?
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If a car is traveling at 65 miles per hour, how many kilometers per hour is it traveling?
If a car is traveling at 65 miles per hour, how many kilometers per hour is it traveling?
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What is the area of a square field that is 50 meters on each side in square feet?
What is the area of a square field that is 50 meters on each side in square feet?
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What is the sum of 12.345 and 6.78?
What is the sum of 12.345 and 6.78?
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What is the sum of 0.0045 and 0.00089?
What is the sum of 0.0045 and 0.00089?
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What is the result of subtracting 8.90 from 12.003?
What is the result of subtracting 8.90 from 12.003?
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What is the result of subtracting 0.0023 from 0.0019?
What is the result of subtracting 0.0023 from 0.0019?
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What is the product of 2.345 and 6.78?
What is the product of 2.345 and 6.78?
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What is the product of 0.0045 and 0.00089?
What is the product of 0.0045 and 0.00089?
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What is the result of dividing 12.003 by 8.90?
What is the result of dividing 12.003 by 8.90?
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What is the result of dividing 0.0019 by 0.0023?
What is the result of dividing 0.0019 by 0.0023?
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What is the sum of 3.45 x 10^5 and 6.78 x 10^5?
What is the sum of 3.45 x 10^5 and 6.78 x 10^5?
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What is the sum of 2.34 x 10^-3 and 5.67 x 10^-4 ?
What is the sum of 2.34 x 10^-3 and 5.67 x 10^-4 ?
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What is the result of subtracting 6.78 x 10^5 from 3.45 x 10^5?
What is the result of subtracting 6.78 x 10^5 from 3.45 x 10^5?
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What is the result of subtracting 5.67 x 10^-4 from 2.34 x 10^-3?
What is the result of subtracting 5.67 x 10^-4 from 2.34 x 10^-3?
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What is the product of 3.45 x 10^5 and 6.78 x 10^5?
What is the product of 3.45 x 10^5 and 6.78 x 10^5?
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What is the product of 2.34 x 10^-3 and 5.67 x 10^-4?
What is the product of 2.34 x 10^-3 and 5.67 x 10^-4?
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What is the result of dividing 3.45 x 10^5 by 6.78 x 10^5?
What is the result of dividing 3.45 x 10^5 by 6.78 x 10^5?
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What is the result of dividing 2.34 x 10^-3 by 5.67 x 10^-4?
What is the result of dividing 2.34 x 10^-3 by 5.67 x 10^-4?
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If the density of gold is 19.3 grams per cubic centimeter, what is its density in pounds per cubic inch?
If the density of gold is 19.3 grams per cubic centimeter, what is its density in pounds per cubic inch?
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A car is traveling at 65 miles per hour. What is its speed in kilometers per hour?
A car is traveling at 65 miles per hour. What is its speed in kilometers per hour?
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A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How many gallons of water can it hold?
A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How many gallons of water can it hold?
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A farmer owns a square field with sides of 50 meters each. What is the area of the field in square feet?
A farmer owns a square field with sides of 50 meters each. What is the area of the field in square feet?
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A marathon is 26.2 miles long. What is its length in kilometers?
A marathon is 26.2 miles long. What is its length in kilometers?
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Study Notes
Significant Figures
-
Adding Significant Figures:
- Example: 12.345 + 6.78 = 19.125
- Example: 0.0045 + 0.00089 = 0.00539
-
Subtracting Significant Figures:
- Example: 12.003 - 8.90 = 3.103
- Example: 0.0019 - 0.0023 = -0.0004
-
Multiplying Significant Figures:
- Example: 2.345 x 6.78 = 15.9
- Example: 0.0045 x 0.00089 = 0.000004
-
Dividing Significant Figures:
- Example: 12.003 / 8.90 = 1.35
- Example: 0.0019 / 0.0023 = 0.826
Scientific Notations
-
Adding Scientific Notations:
- Example: 3.45 x 105 + 6.78 x 105 = 10.23 x 105
- Example: 2.34 x 10-3 + 5.67 x 10-4 = 2.91 x 10-3
-
Subtracting Scientific Notations:
- Example: 3.45 x 105 - 6.78 x 105 = -3.33 x 105
- Example: 2.34 x 10-3 - 5.67 x 10-4 = 1.77 x 10-3
-
Multiplying Scientific Notations
- Example: (3.45 x 105) x (6.78 x 105) = 2.34 x 1011
- Example: (2.34 x 10-3) x (5.67 x 10-4) = 1.33 x 10-6
-
Dividing Scientific Notations
- Example: (3.45 x 105) / (6.78 x 105) = 0.508
- Example: (2.34 x 10-3) / (5.67 x 10-4) = 4.14
Dimensional Analysis/Factor Label Method
- Converting Units: Problems involve converting units of density, speed, volume, area, and length using dimensional analysis.
- Density Example: Gold density in pounds per cubic inch, given density in grams per cubic centimeter.
- Speed Example: Miles per hour converted to kilometers per hour.
- Volume Example: Swimming pool volume in gallons given pool dimensions in meters.
- Area Example: Square field area in square feet given side length in meters.
- Length Example: Marathon length in kilometers given distance in miles.
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Description
Test your understanding of significant figures and scientific notations through a series of examples. This quiz covers operations such as addition, subtraction, multiplication, and division, helping reinforce your skills in handling numerical precision and scientific notation. Perfect for students looking to strengthen their math foundation!
