Decide mentally which one has a value that is closer to 0.
The Meaning of Absolute Value.
(1.) 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?
(2.) 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?
(3.) If the bug starts at 0 and jumps 3 units away, where might it land?
(4.) 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?
(5.) If the bug jumps 7 units and lands at 0, where could it have started?
(6.) 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?
(7.) 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?
(8.) 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?
Find Absolute Value.
Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
(1.) What percent of her income does Elena donate to charity? Explain or show your work.
(2.) Which quantity, or d , would be the better choice for the dependent variable in an equation describing the relationship between and d ? Explain your reasoning.
(3.) Use your choice from the second question to write an equation that relates and d.