Positive and Negative Numbers

Student Summary

Positive numbers are numbers that are greater than zero. Negative numbers are numbers that are less than zero. The meaning of a negative number in a context depends on the meaning of zero in that context.

For example, if we measure temperatures in degrees Celsius, 0 degrees Celsius corresponds to the temperature at which water freezes.

In this context, positive temperatures are warmer than the freezing point, and negative temperatures are colder than the freezing point. A temperature of -6 degrees Celsius means that it is 6 degrees away from 0 and that it is less than 0. This thermometer shows a temperature of -6 degrees Celsius.

If the temperature rises a few degrees and gets very close to 0 degrees, without reaching it, the temperature is still a negative number.

A vertical thermometer with the numbers negative 8 through 8 indicated. The thermometer is shaded starting from the bottom of the thermometer to negative 6.

Another example is elevation, which is a distance above or below sea level. An elevation of 0 refers to sea level. Positive elevations are higher than sea level, and negative elevations are lower than sea level.

In this context, a bird flying in the sky would have a positive elevation because it is higher than sea level. An octopus or a shark would have a negative elevation because it is swimming below sea level. 

<p>Vertical number line, elevation, horizontal number line at zero, sea level.  Silhouettes of animal, from lowest to highest, octopus, shark, dolphin, seagull.</p>

Visual / Anchor Chart

Standards

Addressing
6.NS.5

6.NS.6

6.NS.C.5

6.NS.C.6

6.NS.5

6.NS.C.5

6.NS.5

6.NS.C.5