Metric System Conversions and Exponents

This video tutorial explains how to convert between different metric prefixes using a chart and dimensional analysis. It covers the basics of metric prefixes, provides examples, and demonstrates a step-by-step method for conversion. The tutorial includes practice problems and advanced examples to reinforce learning.

What is the base unit in the metric system?

• Liter

• All of the above

• Meter

• Gram

How many grams are there in 1 kilogram?

• 100 grams

• 10000 grams

• 10 grams

• 1000 grams

What is the exponent for the prefix 'centi'?

• -1

• 3

• -2

• 2

How many decigrams are in 2.6 kilograms?

• 2600 decigrams

• 260 decigrams

• 26000 decigrams

• 260000 decigrams

What is the conversion factor from nanometers to centimeters?

• 10^-9

• 10^-6

• 10^-8

• 10^-7

What is the first step in solving a conversion problem using dimensional analysis?

• Identify the unknown

• Write down the given amount

• Subtract exponents

• Multiply by a fraction

In scientific notation, what is 25 divided by 10^3?

• 2.5 x 10^-2

• 2.5 x 10^-5

• 2.5 x 10^-3

• 2.5 x 10^-4

What is the exponent difference between mega and pico?

• 12

• 18

• 24

• 30

Which unit is larger, mega or pico?

• They are equal

• Cannot be determined

• Pico

• Mega

How many pico liters are equivalent to 1 mega liter?

• 10^6

• 10^12

• 10^18

• 10^24