Introduction to Integers
Mathematics, Grade 9
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• Integers are a set of whole numbers and their opposites. • Positive integers are whole numbers greater than zero. • Negative integers are whole numbers less than zero. • The integer 0 is neither positive nor negative. • Integers have either a (+) positive or (–) negative sign, except zero, which has no sign. • The absolute value of an integer is the number of units from zero on a number line. • The absolute value of a number is always a positive number or zero. The symbol for absolute value is . • A number line can be used to order and compare integers. order from least to greatest • Read the numbers from left to right: • Opposite integers have the same absolute value. • A number line can be used to represent a set of integers. • The value of integers increases as you move to the right along a number line. And decreases in value as you move to the left. – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 3 and 3 are opposites – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 4 = 4 4 – 3, 0, 1, – 4, 2, 5 – 4, – 3, 0, 1, 2, 5 4 = 4 units 4 units Using Integers Integer Example – 350 + 100 – 35 – 10 350 feet below sea level 35 degrees below zero Loss of 10 yards in a football play Stock Market gain of 100 points Number Line negative integers positive integers Absolute Value Ordering Integers © C opyright NewPath Learning. All Rights Reserved. 93-4604 www.newpathlearning.com Introduction to Integers 40 50 60 70 80 90 100 110 ºF -50 -40 -30 -20 -10 0 10 20 30
• Integers are ________________ ____________________________ . • Positive integers are ________ ____________________________ . • Negative integers ___________ ____________________________ . • The integer is neither positive nor negative. • Integers have either a (+) positive or (–) negative sign, except zero, which has . • The absolute value of an integer is ______________________________________ _____________________________________ . • The absolute value of a number is always a or . The symbol for absolute value is . • A number line can be used to order and . order from least to greatest • Read the numbers from to : • integers have the same absolute value. • A can be used to represent a set of integers. • The value of integers as you move to the right along a number line. And in value as you move to the left. – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 3 and 3 are opposites – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 5 – 4 – 3 – 2 – 1 + 5 + 4 + 3 + 2 + 1 0 – 4 = 4 3 – 3, 0, 1, – 4, 5, 2 – 4, – 3, 0, 1, 2, 5 4 = Using Integers Integer Example – 350 + 100 – 35 – 10 350 feet below sea level 35 degrees below zero Loss of 10 yards in a football play Stock Market gain of 100 points Number Line Absolute Value Ordering Integers Key Vocabulary Terms • absolute value • integer • negative integer • number line • positive integer • whole number © Copyright NewPath Learning. All Rights Reserved. 93-4604 www.newpathlearning.com Introduction to Integers 40 50 60 70 80 90 100 110 ºF -50 -40 -30 -20 -10 0 10 20 30 \|xiBAHBDy01672kzU
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