Transcript 9-2

9-2 Comparing and Ordering Integers
Learn to compare and order integers.
9-2 Comparing and Ordering Integers
Remember!
Numbers on a number line increase in
value as you move from left to right.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
Check It Out: Example 1
Use the number line to compare each pair of
integers. Write < or >.
–5 –4 –3 –2 –1
0
1
2
3
4
5
A. –2
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.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
Additional Example 3 Continued
4
Look Back
Negative integers are always less than positive
integers, so neither Craig nor Cameron won the
golf match.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
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.
9-2 Comparing and Ordering Integers
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.