Integers and Absolute value

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What is absolute value?

Back

Absolute value is the distance a number is from zero on a number line, always expressed as a non-negative number.

Front

What is the absolute value of 0?

Back

The absolute value of 0 is 0.

Front

How do you represent the absolute value of a number?

Back

The absolute value of a number is represented by two vertical bars around the number, e.g., |x|.

Front

What is the absolute value of |-15|?

Back

The absolute value of |-15| is 15.

Front

If a < b, what can we say about |a| and |b|?

Back

If a < b, it does not necessarily mean |a| < |b|, as absolute values depend on the distance from zero.

Front

What is the relationship between -x and |x|?

Back

The relationship is that |x| is always non-negative, while -x is the negative of x.

Front

What is the result of |-8| + |3|?

Back

The result is 8 + 3 = 11.

Front

What does the inequality |x| < 5 represent?

Back

It represents that x is between -5 and 5, or -5 < x < 5.

Front

What is the absolute value of a negative number?

Back

The absolute value of a negative number is its positive counterpart.