Q1 - HWK 3 - A Value Tolerance Scenarios Review

Front

What is absolute value?

Back

Absolute value is the distance of a number from zero on the number line, always expressed as a positive value.

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance, and distance is always measured by positive numbers.

Front

Write an absolute value equation for having 50 dollars give or take 15.

Back

|x - 50| = 15

Front

What does the number 50 represent in the context of having money in your wallet?

Back

The number 50 best represents the goal amount (average/optimal amount).

Front

What inequality represents the tolerance for the radius of gears that must be 6 inches with a tolerance of 0.1 inches?

Back

|x - 6| ≤ 0.1

Front

What inequality represents the tolerance for a street that must be 25 feet wide with a tolerance of 0.5 feet?

Back

|W - 25| ≤ 0.5

Front

What is the formula for absolute value?

Back

The formula for absolute value is |x| = x if x ≥ 0, and |x| = -x if x < 0.

Front

How do you interpret |x - a| ≤ b?

Back

This means that the value x is within b units of a.

Front

What is the significance of tolerance in manufacturing?

Back

Tolerance defines the acceptable range of variation in a physical dimension.

Front

How can absolute value be used in real-life scenarios?

Back

Absolute value can be used to express distances, financial estimates, and measurements with tolerances.