Understanding Absolute Value and Distance

The video tutorial explains the concept of absolute value as the distance between two numbers. It explores expressions equivalent to the absolute value of A minus B, using examples to verify equivalence. The tutorial also covers interpreting equations involving absolute values and calculating the area of a rectangle using absolute values. Through various examples, the video emphasizes understanding absolute value in different mathematical contexts.

What does the absolute value of A minus B represent?

• The sum of A and B

• The distance between A and B

• The difference between A and B

• The product of A and B

Which expression is equivalent to the absolute value of A minus B?

• Absolute value of A minus absolute value of B

• Absolute value of B minus A

• A minus B

• None of the above

If A is -5 and B is -1, what is the absolute value of A minus B?

• 3

• 4

• 6

• 5

Why is the expression A minus B without absolute value not equivalent to the absolute value of A minus B?

• Because A is always greater than B

• Because it results in a negative number

• Because it results in a positive number

• Because A and B are equal

What does the negative of B minus A represent?

• The sum of A and B

• Zero

• A negative value

• A positive value

What does the equation |11 - X| = |Y - 3| imply?

• 11 is equal to X

• The distance between 11 and X is the same as the distance between Y and 3

• Y is equal to 3

• X is equal to Y

How do you calculate the area of a rectangle using absolute values?

• Add the absolute values of the length and width

• Multiply the absolute values of the length and width

• Divide the absolute values of the length and width

• Subtract the absolute values of the length and width

What does the absolute value of J minus L represent in the context of a rectangle?

• The width of the rectangle

• The height of the rectangle

• The diagonal of the rectangle

• The perimeter of the rectangle

If M and Q are the Y coordinates of a rectangle, what does the absolute value of M minus Q represent?

• The perimeter of the rectangle

• The diagonal of the rectangle

• The height of the rectangle

• The width of the rectangle

Why is the expression J minus M not useful for calculating the area of a rectangle?

• Because it involves both X and Y coordinates

• Because it results in a negative value

• Because it is not an absolute value

• Because it results in zero