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Comparing and Ordering Numbers. These are the combined win and loss records for the following teams. Plot points on the number line:. Questions. Which team had the best record in the league? How do you know? Which team had the worst record? How do you know?
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These are the combined win and loss records for the following teams. Plot points on the number line:
Questions • Which team had the best record in the league? How do you know? • Which team had the worst record? How do you know? • How would you evaluate the Westfield league as a whole?
Ordering Positive Numbers • Place numbers in order from least to greatest: • 5, 9, 20, 2, 6, 7, 17 • 9, 13.5, 4, 3.6, 7.9, 5, 11
Ordering Negative Numbers • Place numbers in order from least to greatest: • -10, -3, -14, -8, -2, -5, -16 • -11.5, -15.6, -2.2, -7.8, -9, -6.5
Ordering Positive and Negative Numbers • -2, -15, 13, 6, 4, -10 • -3.5, -14.4, 12.2, 7.1, 5.3, -9.6
Graph on a number line 5.6 -8 3.1 -4 7 -2
Discussion • In a given list of numbers, the greatest number is negative. What can you say about the numbers in this list?
In your Notes- Vocabulary • Inequality: This is a statement that describes that two quantities are not equal. The symbols < and > are used to write inequalities. • The symbol > means “is greater than” • The symbol < means “is less than”
Refresh- Comparing Positive Numbers Solve each inequality: Place < or > in the space. • 7 • 18 • 10 • 85 43 47
Refresh- Comparing Negative Numbers Solve each inequality: Place < or > in the space. -3 -8 -11 -7 -35 -9 -55 -90 -20 -4
Put it together! • On December 18, the wind chill temperature in Chicago was -4°F. On January 18, the wind chill temperature was 15°F. Which day had the warmer wind chill temperature? • Graph the points on the number line. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Questions Complete the inequalities: • -4 15 • 15 -4 • -7 6 • -9 -4
Discussion • Negative numbers are _________ than positive numbers. • 0 is ________ than all negative numbers. • What is the greatest negative number? • Is there a greatest positive integer? If so, what is it? If not, why not? • What is the least non-negative number?