Approximation and Error Intervals/Bounds

The video tutorial explains the concept of approximation by rounding numbers to one significant figure and performing calculations. It introduces error intervals, defining lower and upper bounds for both continuous and discrete values. Continuous values like speed and distance are discussed with examples, showing how to calculate bounds using accuracy levels. Discrete values, such as counting people, are also covered, highlighting the differences in calculating bounds compared to continuous values.

What is the purpose of rounding numbers to one significant figure in approximation?

• To increase precision

• To simplify calculations

• To get an exact value

• To avoid using decimals

In the context of error intervals, what does the lower bound represent?

• The minimum value that rounds up to the rounded number

• The exact value of a number

• The average value between two numbers

• The maximum value that rounds down to the rounded number

Why is 245 meters considered the upper bound for 240 meters rounded to the nearest 10 meters?

• Because 245 is exactly 10 meters more

• Because 244.99999999 rounds down to 240

• Because 245 is a whole number

• Because 245 is the next multiple of 10

How do error intervals differ for discrete values compared to continuous values?

• Discrete values have no bounds

• Discrete values use whole numbers for bounds

• Discrete values have the same bounds as continuous values

• Discrete values are always larger than continuous values

If the number of people on a train is 400 to the nearest 100, what is the lower bound?

• 300

• 350

• 400

• 450