Transcript or =. 1.

How do you
Compare and
Order Integers?
Warm Up
Compare. Write <, >, or =.
1. 8,426
8,246
2. 9,625
6,852
3. 2,071
2,171
4. 2,250
2,250
>
>
<
=
Remember!
Numbers on a number line increase in
value as you move from left to right.
Additional Example 1: Comparing Integers
Use the number line to compare each pair of
integers. Write < or >.
–5 –4 –3 –2 –1
A. –2
0
1
2
3
4
5
2
–2 < 2
–2 is to the left of 2 on the number line.
B. 3
–5
3 > –5 3 is to the right of –5 on the number line.
C. –1
–4
–1 > –4 –1 is to the right of –4 on the number line.
Check It Out: Example 1
Use the number line to compare each pair of
integers. Write < or >.
–5 –4 –3 –2 –1
A. –2
0
1
2
3
4
5
1
–2 < 1
–2 is to the left of 1 on the number line.
B. 2
–3
2 > –3 2 is to the right of –3 on the number line.
C. –3
–4
–3 > –4 –3 is to the right of –4 on the number line.
Additional Example 2: Ordering Integers
Order the integers in each set from least to
greatest.
A. –2, 3, –1
Graph the integers on the same number line.
–3 –2 –1
0
1
2
3
Then read the numbers from left to right: –2, –1, 3.
B. 4, –3, –5, 2
Graph the integers on the same number line.
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Then read the numbers from left to right: –5, –3, 2, 4.
Check It Out: Example 2
Order the integers in each set from least to
greatest.
A. –2, 2, –3
Graph the integers on the same number line.
–3 –2 –1
0
1
2
3
Then read the numbers from left to right: –3, –2, 2.
B. 6, –2, 5, –3
Graph the integers on the same number line.
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Then read the numbers from left to right: –3, –2, 5, 6.
Additional Example 3: Problem Solving Application
In a golf match, Craig scored +2,
Cameron scored +3, and Rob scored –1.
Who won the golf match?
1
Understand the Problem
The answer will be the player with the lowest
score. List the important information:
• Craig scored +2.
• Cameron scored +3.
• Rob scored –1.
Additional Example 3 Continued
2
Make a Plan
You can draw a diagram to order the scores from
least to greatest.
3
Solve
Draw a number line and graph each player’s score
on it.
•
• •
–3 –2 –1
0
1
2
3
Rob’s score, –1, is farthest to the left, so it is the
lowest score. Rob won the golf match.
Additional Example 3 Continued
4
Look Back
Negative integers are always less than positive
integers, so neither Craig nor Cameron won the
golf match.
Check It Out: Example 3
In a golf match, Melissa scored +6, Trista
scored –3, and Alyssa scored –1. Who won
the golf match?
1
Understand the Problem
The answer will be the player with the lowest
score. List the important information:
• Melissa scored +6.
• Trista scored –3.
• Alyssa scored –1.
Check It Out: Example 3 Continued
2
Make a Plan
You can draw a diagram to order the scores from
least to greatest.
3
Solve
Draw a number line and graph each player’s score
on it.
•
•
•
–6 –5 –4 –3 –2 –1
0
1
2
3
4
5
6
Trista’s score, –3, is farthest to the left, so it is
the lowest score. Trista won the golf match.
Check It Out: Example 3 Continued
4
Look Back
Negative integers are always less than positive
integers, so Melissa cannot be the winner.
Since Trista’s score of -3 is less than Alyssa’s
score of -1, Trista won.
Lesson Quiz
Order the integers in each set from least to
greatest.
1. –3, 7, 4
–3, 4, 7
2. –11, 2, 5, –15
–15, –11, 2, 5
Compare. Write <, >, or =.
3. –3
-4
4. –12
–10
>
<
5. A location in Carlsbad Caverns is 752 ft below
sea level, and another location is 910 ft below
sea level. Which location is closer to sea level?
the location at –752 feet