Understanding Limits of Accuracy

The video tutorial explains the concept of limits of accuracy in rounding numbers. It covers how to determine the lower and upper bounds for values rounded to the nearest 10, nearest cm, one decimal place, and one significant figure. Examples include rounding a number to 30, a race time to 120 seconds, a string length to 14 cm, a metal mass to 5.3 kg, and an object's speed to 200 mph. The tutorial provides a clear understanding of how to calculate these bounds and the importance of accuracy in measurements.

What is the concept of limits of accuracy primarily concerned with?

• Identifying the largest possible number

• Finding the exact value of a number

• Determining the range within which a rounded number lies

• Calculating the average of a set of numbers

If a number is rounded to 30 to the nearest 10, what is the lowest possible value it could be?

• 20

• 25

• 30

• 35

For a number rounded to 30, what is the highest possible value it could be?

• 34.999

• 34.99

• 35

• 34.9

A race time is rounded to 120 seconds to the nearest 10 seconds. What is the lower bound?

• 110

• 115

• 120

• 125

What is the upper bound for a race time rounded to 120 seconds?

• 135

• 125

• 130

• 120

A string measures 14 cm to the nearest cm. What is the lower bound?

• 14.0

• 13.5

• 13.0

• 14.5

What is the upper bound for a string length rounded to 14 cm?

• 15.0

• 14.5

• 14.4

• 14.0

A mass of 5.3 kg is accurate to one decimal place. What is the lower bound?

• 5.3

• 5.25

• 5.2

• 5.35

What is the upper bound for a mass of 5.3 kg accurate to one decimal place?

• 5.31

• 5.3

• 5.34

• 5.35

If the speed of an object is 200 mph to one significant figure, what is the upper bound?

• 200

• 225

• 250

• 275