1. Do Now Compare. Use >, <, or = 1. 7______5 2. 32_____65
1. 7______5
2. 32_____65
3. 82_____28
4. 64______48

2. Goal:
Learn to compare and order integers and to determine absolute value.

3. Whole numbers are numbers with no decimal or fractional parts (including 0). They are the ‘counting numbers’.
The opposite of a number is the same
distance from 0 on a number line as the
original number, but on the opposite
of 0. Zero is its own opposite.

4. • • –4 and 4 are opposites –4 4 –5–4–3–2–1 0 1 2 3 4 5
–5–4–3–2–1 0
Negative integers
Positive integers
0 is neither positive
nor negative

5. Integers are the set of numbers that includes all the whole numbers
And their opposites, therefore, NEGATIVE numbers are included in this set.
The whole numbers are the counting numbers and zero: 0, 1, 2, 3,
Remember!

6. Example A: Graphing Integers and Their Opposites on a Number Line
Graph the integer 3 and its opposite on a number line.
3 units units
–7–6–5–4–3–2–1 0
The opposite of 3 is -3.

7. Example B: Graphing Integers and Their Opposites on a Number Line
Graph the integer -5 and its opposite on a number line.
5 units units
–7–6–5–4–3–2–1 0
The opposite of -5 is 5.

8. On a number line, the value of the numbers increase as you move to the right and decrease as you move to the left.
Therefore, if you plot two numbers on a number line, the one that is further to the right will be the number with the greater value.

9. Example C: Comparing Integers Using a Number Line
Compare the integers. Use < or >.
>
–7–6–5–4–3–2–1 0
4 is farther to the right than -4, so 4 > -4.
The symbol < means “is less than,” and the symbol > means “is greater than.”
Remember!

10. Compare the integers. Use < or >.
Check It Out:
Compare the integers. Use < or >.
<
–7–6–5–4–3–2–1 0
-1 is farther to the right than -5, so -1 > -5.

11. Example: Ordering Integers Using a Number Line.
Use a number line to order the integers from least to greatest.
–3, 5, –4, 2, 0, –1
–8 –7–6 –5–4 –3 –2 –1 0
The numbers in order from least to greatest are –4, –3, –1, 0, 2, and 5.

12. A number’s absolute value is its distance from 0 on a number line
A number’s absolute value is its distance from 0 on a number line. Since distance can never be negative, absolute values are never negative. They are always positive or zero.

13. The symbol is read as “the absolute value of
The symbol is read as “the absolute value of.” For example -3 is the absolute value of -3.
Reading Math

14. Example F: Finding Absolute Value
Use a number line to find each absolute value.
|2|
2 units
–8 –7–6–5–4 –3–2 –1 0
2 is 2 units from 0, so |2| = 2.

15. Use a number line to find each absolute value.
Example G:
Use a number line to find each absolute value.
|-3|
3 units
–8 –7–6–5–4 –3–2 –1 0
-3 is 3 units from 0, so |-3| = 3.

16. Compare. Use <, >, or =. 1. –32 32 2. 26 |–26| 3. –8 –12
Lesson Quiz: Part I
Compare. Use <, >, or =.
1. –
|–26|
3. –8 –12
4. Use a number line to order the integers –2, 3, –4, 5, and –1 from least to greatest.
< =
> •
–5–4 –3 –2–1 0
–4, –2, –1, 3, 5