Plot points in Quadrant I, place integers on a number line, compare them, and find absolute value.
Part 1: Plotting points in Quadrant I
A coordinate plane has two number-line axes. To plot a point (x, y): go across (right) x units on the x-axis, then go up y units on the y-axis. Always: across first, then up.
Part 2: Integers & the Number Line
Integers include positive whole numbers, negative whole numbers, and zero: … −3, −2, −1, 0, 1, 2, 3 …
Negative numbers are to the left of zero on a number line. The further right, the larger the number.
Absolute value is the distance from zero on the number line — always a positive number (or zero).
Both −4 and 4 are 4 steps from zero, so they have the same absolute value.
1. To plot point (5, 3) on a coordinate grid, how far right do you move first?
For (x, y): x comes first — go across (right) by x, then up by y. (5, 3) → 5 right, 3 up.
2. What is the absolute value of −7? (Type just the number.)
Absolute value = distance from zero. −7 is 7 steps from zero, so |−7| = 7.
3. Which symbol makes this true? −3 ___ 2
On a number line, −3 is to the left of 2. Numbers to the left are smaller, so −3 < 2.
4. What is |−9|?
Absolute value is distance from zero. −9 is 9 steps from zero, so |−9| = 9.
5. A point is plotted by moving 4 units right and 6 units up from the origin. What is its ordered pair?
Across first (x), then up (y). 4 right → x = 4. 6 up → y = 6. Ordered pair: (4, 6).
6. Which integer is farthest from zero: −6, 4, or −2?
|−6| = 6, |4| = 4, |−2| = 2. The largest absolute value is 6, so −6 is farthest from zero.
7. On the coordinate grid below, a point is at (2, 5). What are its coordinates? (Enter the x-value — how far right from the origin.)
The point is 2 units to the right of the origin, so x = 2. The full ordered pair is (2, 5).