Absolute Value

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How is absolute value represented mathematically?

Back

Absolute value is represented using vertical bars, e.g., |x|.

Front

What is the absolute value of -10?

Back

| -10 | = 10.

Front

What is the absolute value of 10?

Back

| 10 | = 10.

Front

Fill in the blank: |x| = ____ if x is a positive number.

Back

x.

Front

Fill in the blank: |x| = ____ if x is a negative number.

Back

-x.

Front

What is the absolute value of 0?

Back

| 0 | = 0.

Front

Why is the absolute value of a number always non-negative?

Back

Because absolute value represents distance, and distance cannot be negative.

Front

If |x| = 5, what are the possible values of x?

Back

x can be 5 or -5.

Front

How do you calculate the absolute value of a sum?

Back

|a + b| is not necessarily equal to |a| + |b|. It depends on the values of a and b.