absolute value
Reading Passage 1
Understanding Absolute Value
The absolute value of a number means how far it is from zero. It does not matter if the number is negative or positive. What matters is the distance. For example, –4 and 4 are both 4 spaces from zero. So, their absolute values are the same.
We show absolute value using straight lines like this: |–4|. That means “the absolute value of –4.” The answer is 4. The same is true for |4|.
Some people think absolute value and opposite numbers are the same. But they are not. Opposites have the same numbers but different signs. For example, –3 and 3 are opposites. Their absolute values are the same, but the numbers are different.
Even negative numbers have a distance from zero. Absolute value shows how far a number is from zero. It is about distance, not direction.
Reading Passage 2
Understanding Absolute Value
The absolute value of a number tells how far that number is from zero on a number line. It does not matter whether the number is positive or negative. What matters is the distance. For example, both –4 and 4 are four units away from zero, so their absolute values are the same.
We show absolute value using vertical bars. The symbol |–4| means “the absolute value of –4.” Since –4 is four units from zero, |–4| equals 4. The same is true for |4|, which also equals 4.
Some students may think that absolute value and opposite numbers are the same. They are not. Opposite numbers have the same digits but different signs, like –3 and 3. Their absolute values are the same, but the numbers themselves are different. The absolute value shows only the distance, not the direction.
Even negative numbers have a distance from zero. Whether a number is positive or negative, its absolute value shows how far it is from zero on the number line. When we think about distance, we focus on how much space is between two points, not the direction. This is why absolute value is often described in terms of distance.
Reading Passage 3
Understanding Absolute Value
Absolute value refers to the distance between a number and zero on a number line. It measures how far a number is from zero, regardless of whether the number is positive or negative. For example, the numbers –4 and 4 are both four units away from zero, so their absolute values are the same.
Mathematically, we use vertical bars to represent absolute value. The expression |–4| means “the absolute value of –4,” and its value is 4. Likewise, |4| is also equal to 4.
Students sometimes confuse absolute value with opposite numbers. While opposites like –3 and 3 have identical absolute values, they are not the same number. Opposites are about direction; absolute value is only about distance.
Negative numbers can still be measured by how far they are from zero. When we talk about absolute value, we are describing that distance. It is not about which way the number goes, but how far it is from zero.