1 4 Integers and Absolute Value Integers are

1 -4 Integers and Absolute Value Integers are the set of whole numbers and their opposites.

1 -4 Integers and Absolute Value Example 1 – I Do Use <, >, or = to compare the scores. Aaron’s score is 4, and Felicity’s score is – 1. Place the scores on the number line. • – 5 – 4 – 3 – 1 < 4 – 2 – 1 • 0 1 2 3 4 – 1 is to the left of 4. 5

1 -4 Integers and Absolute Value Example 2 – You Do Use <, >, or = to compare the scores. Fran’s score is – 2, and Joaquin’s score is. – 3 Place the scores on the number line. – 5 – 4 • • – 3 – 2 – 3 < – 2 – 1 0 1 2 3 4 – 3 is to the left of – 2. 5

1 -4 Integers and Absolute Value Example 3 – I Do List the golf scores in order from the lowest to the highest. The scores are – 4, 2, 5, and – 3. Place the scores on the number line and read them from left to right. • – 5 – 4 • • – 3 – 2 – 1 0 1 2 • 3 4 5 In order from the lowest score to the highest score, the scores are – 4, – 3, 2, and 5.

1 -4 Integers and Absolute Value Example 4 - You Do List the golfer’s scores in order from the lowest to the highest. The scores are – 3, 1, 0, and – 2. Place the scores on the number line and read them from left to right. – 5 – 4 • • – 3 – 2 – 1 • • 0 1 2 3 4 5 In order from the lowest score to the highest score, they are – 3, – 2, 0, and 1.

1 -4 Integers and Absolute Value A number’s absolute valueis its distance from 0 on a number line. Absolute value is always positive or 0 because distance cannot be negative. “The absolute value of – 4” is written as |– 4|. 4 units – 5 – 4 = 4 4 =4 – 3 – 2 4 units – 1 0 1 2 3 4 5 Both 4 and – 4 are 4 units from 0.

1 -4 Integers and Absolute Value Example 5 - I Do Simplify each expression. A. – 8 + 5 – 8 = 8 – 8 is 8 units from 0. 5 =5 5 is 5 units from 0. 8 + 5 = 13 B. 5 – 6 – 1 = 1 – 1 is 1 units from 0.

1 -4 Integers and Absolute Value Example 6 – You Do Simplify each expression. A. – 2 + – 9 – 2 = 2 – 2 is 2 units from 0. – 9 = 9 – 9 is 9 units from 0. 2 + 9 = 11 B. 1 – 1 0 =0 0 is 0 units from 0.