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Conversion Factors and Problem Solving

Mathematics18 CardsCreated 5 months ago

This deck covers essential concepts related to rounding rules, significant figures, metric conversions, and basic geometry calculations.

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What are the rules of rounding off numbers?

If the first digit to be dropped is less than 5, it and all following digits are dropped are dropped. If the first digit to be dropped is 5 or greater, all the following digits are dropped and the value of the last retained digit is increased by 1.
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Key Terms

Term
Definition
What are the rules of rounding off numbers?
If the first digit to be dropped is less than 5, it and all following digits are dropped are dropped. If the first digit to be dropped is 5 or greater...
What is Rounding with Magnitude?
When you round a large number, the correct magnitude is retained by replacing the dropped digits with placeholder zeros. Ex: 3.8765 x 10^4 s >>> 3.88 ...
What is the rule for Significant Figures in Multiplication/Division?
The final answer is written so that it has the same number of significant figures as the measurement with the fewest significant figures (SFs). Ex: 0....
What is the rule for Significant Figures in Addition/Subtraction?
The final answer is written so that it has the same number of decimal places as the measurement having the fewest decimal places. Ex: 2.11 + 104.056 +...
What is an equality?
If a quantity is expressed in two different metric units, a metric equality can be stated. Ex: 1 m = 1000 mm
What is a conversion factor?
The ratio of the two values. It have a numerator and a denominator. Ex: 1 m = 1000 mm ; 1000 m = 1 m
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Conversion Factors and Problem Solving
TermDefinition
What are the rules of rounding off numbers?
If the first digit to be dropped is less than 5, it and all following digits are dropped are dropped. If the first digit to be dropped is 5 or greater, all the following digits are dropped and the value of the last retained digit is increased by 1.
What is Rounding with Magnitude?
When you round a large number, the correct magnitude is retained by replacing the dropped digits with placeholder zeros. Ex: 3.8765 x 10^4 s >>> 3.88 x 10^4 s
What is the rule for Significant Figures in Multiplication/Division?
The final answer is written so that it has the same number of significant figures as the measurement with the fewest significant figures (SFs). Ex: 0.024 x 4.620/ 3.44 = 0.033575581 >> 0.034
What is the rule for Significant Figures in Addition/Subtraction?
The final answer is written so that it has the same number of decimal places as the measurement having the fewest decimal places. Ex: 2.11 + 104.056 + 0.1205 = 106.2865 >> 106.29
What is an equality?
If a quantity is expressed in two different metric units, a metric equality can be stated. Ex: 1 m = 1000 mm
What is a conversion factor?
The ratio of the two values. It have a numerator and a denominator. Ex: 1 m = 1000 mm ; 1000 m = 1 m
What is the Area of Rectangle (cm^3)?
Area = Length x Width
What is the Volume of Rectangular Solid?
V = Length x Width x Height
What is the Volume of Cube?
V = L^3
What is the Volume of Cylinder?
V = πD^2H/4 = 3.14D^2H/4 D = Diameter H = Height
1 L = ? mL
1 L = 1000 mL
1 qt = ? mL
1 qt = 946 mL
1 qt = ? pt
1 qt = 2 pt
1 in = ? cm
1 in = 2.54 cm
1 lb = ? grams
1 lb = 454 grams
1 kg = ? grams
1 kg = 1000 grams
1 m = ? cm
1 m = 100 cm
1 lb = ? oz
1 lb = 16 oz