Understanding Percentages and Ratios

The video tutorial covers various measurement concepts, starting with significant figures and scientific notation for handling large numbers. It then explores the metric system and the use of prefixes to denote different units. The tutorial also discusses measurement errors and the importance of accuracy. It explains the difference between ratios and rates, and concludes with a detailed explanation of calculating percentage changes, including both increases and decreases.

Why are significant figures important in measurements?

• They determine the unit of measurement.

• They are used to calculate averages.

• They indicate the precision of a measurement.

• They help in converting units.

What is the main advantage of using scientific notation?

• It helps in measuring small distances.

• It makes it easier to compare different units.

• It simplifies the addition of numbers.

• It provides a more efficient way to write large numbers.

Which prefix represents a factor of one thousandth?

• Milli

• Mega

• Nano

• Kilo

What is the difference between a ratio and a rate?

• A ratio is always greater than a rate.

• A ratio compares two quantities of the same unit, while a rate compares different units.

• A rate is used for time-based comparisons, while a ratio is not.

• A ratio is a type of rate.

What does a percentage change calculation help determine?

• The original value of a quantity.

• The difference between two unrelated quantities.

• The conversion rate between two units.

• The increase or decrease in a quantity over time.

How do you calculate a 13% increase on a value of 210?

• Add 13 to 210.

• Multiply 210 by 0.13 and add to 210.

• Multiply 210 by 1.13.

• Multiply 210 by 13.

What is the result of decreasing 210 by 13%?

• 210

• 183

• 226.3

• 197.7

What is the formula for calculating percentage increase?

• Original amount minus percentage.

• Original amount divided by percentage.

• Original amount plus percentage.

• Original amount multiplied by (1 + percentage/100).

What does the term 'depreciation' refer to?

• An increase in value over time.

• A constant value over time.

• A fluctuating value over time.

• A decrease in value over time.

How is compound interest different from depreciation?

• Compound interest decreases value, while depreciation increases it.

• Compound interest increases value, while depreciation decreases it.

• Both compound interest and depreciation increase value.

• Both compound interest and depreciation decrease value.