Chapter 2.1 Negative Numbers Goal: Use negative numbers to represent real-world quantities Vocabulary: Negative Number: ______________________________________________________________ Brainstorm: What are some ways negative numbers are used in the real-world: ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ Example 1: Represent each real-world situation with either a positive or negative number 36°F below zero ____________________ A debit/withdrawal of $10,540 __________________ 29,035 feet below sea level __________________ A gain of 45 yards __________________ Example 2: 1. New Orleans is 8 feet ____________ sea level 2. Mount Davidson is __________ feet above sea level 3. The deepest location among the four locations is ______________ 4. The highest location among the four locations is ______________ 5. The location nearest to sea level is __________________ Chapter 2.1 Negative Numbers Goal: Represent, compare, and order positive and negative numbers on a number line Like positive numbers, negative numbers can be represented on both horizontal and vertical number lines. Negative numbers are __________ in value than positive numbers, therefore since they are ___________ they are found further to the _____________. Negative numbers are to the ___________ of zero on a horizontal number line and ______________ zero on a vertical number line. Vocabulary: Opposite: _______________________________________ _______________________________________ _______________________________________ _______________________________________ Math Note: Zero (0) is neither a positive nor negative number. Example 1: Identifying opposites 8 ________ -29 ________ -5 ________ 24 ________ 21 ________ -106 ________ Example 2: Representing numbers on a number line Draw a horizontal number line to represent the numbers from 0 to 6 and their opposites. Draw on a vertical number line the following set of numbers: -26, -29, -30, -32, -34 Example 3: Fill in the missing numbers Example 4: Write a statement of inequality ( > or < ) using the number line as a reference. -12 _______ -10 -8 ________ -5 -6 _______ -9 1 ________ -4 Example 5: The table shows the average temperatures in Alaska each month Write an inequality statement comparing the average temperature September to August. Example 6: Write an inequality statement that compares the elevation of Death Valley, California is greater than the elevation of Lake Assal, Djibouti. ___________________________________ Example 7: Write a sentence describing the inequality statement -61°F < -45°F ___________________________________________________ -520 feet > -893 feet _____________________________________________