IM 6.7.6 Lesson: Absolute Value of Numbers
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.
Move the bug to a starting point, choose a jump distance, and press the jump button. You may need to zoom in or out if your bug jumps off the screen.
A bug is jumping around on a number line.
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 absolute value 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?
A part of the city of New Orleans is 6 feet below sea level.
We can use “-6 feet” to describe its elevation, and “ feet” to describe its vertical distance from sea level. In the context of elevation, what would each of the following numbers describe? 25 feet
We use the notation to say “the absolute value of -2,” which means “the distance of -2 from 0 on the number line.” What does mean and what is its value?
feet
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 “” to describe a temperature that is 5 degrees Celsius below freezing point and “” for a temperature that is 5 degrees above freezing. In this context, what do each of the following numbers describe?
Which temperature is colder: or ?
Which temperature is closer to freezing temperature: or ?
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.