Decide mentally which one has a value that is closer to 0.
Decide mentally which one has a value that is closer to 0.
Decide mentally which one has a value that is closer to 0.
Decide mentally which one has a value that is closer to 0.
If the bug starts at 1 and jumps 4 units to the right, where does it end up? How far away from 0 is this?
If the bug starts at 1 and jumps 4 units to the left, where does it end up? How far away from 0 is this?
If the bug starts at 0 and jumps 3 units away, where might it land?
The [b]absolute value[/b] of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its location is 4. Where on the number line is it?
If the bug jumps 7 units and lands at 0, where could it have started?
If the bug is to the left of 0 and the absolute value of its location is 5, where on the number line is it?
If the bug is to the right of 0 and the absolute value of its location is 2.5, where on the number line is it?
We can use “-6 feet” to describe its elevation, and “ [math]\text{\mid-}6\mid[/math] feet” to describe its vertical distance from sea level. In the context of elevation, what would each of the following numbers describe?[br][br]25 feet
We use the notation[math]\mid\text{-}2\mid[/math] to say “the absolute value of -2,” which means “the distance of -2 from 0 on the number line.”[br][br]What does [math]\mid\text{-}7\mid[/math] mean and what is its value?
[math]\mid25\mid[/math] feet
[math]\text{\mid-}8\mid[/math] feet
The elevation of a city is different from sea level by 10 feet. Name the two elevations that the city could have.
We write “[math]\text{-}5^{\circ}C[/math]” to describe a temperature that is 5 degrees Celsius below freezing point and “[math]5^{\circ}C[/math]” for a temperature that is 5 degrees above freezing. In this context, what do each of the following numbers describe?[br][br][math]1^{\circ}C[/math]
[math]\text{-}4^{\circ}C[/math]
[math]\mid12\mid^\circ C[/math]
[math]\mid\text{-}7\mid^\circ C[/math]
Which temperature is colder: [math]\text{-}6^{\circ}C[/math] or [math]3^{\circ}C[/math]?
Which temperature is closer to freezing temperature: [math]\text{-}6^{\circ}C[/math] or [math]3^{\circ}C[/math]?
Which temperature has a smaller absolute value? Explain how you know.
At a certain time, the difference between the temperature in New York City and in Boston was 7 degrees Celsius. The difference between the temperature in Boston and in Chicago was also 7 degrees Celsius. Was the temperature in New York City the same as the temperature in Chicago? Explain your answer.