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Introduction to Integers. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Positive and Negative Numbers. Numbers greater than 0 are called positive numbers. Numbers less than 0 are called negative numbers. Integers. Some signed numbers are integers. The integers are { ..., –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, ...}
Learning Objectives. Define the integers. Find the absolute value of an integer. Add integers. Subtract integers. Multiply integers. Divide integers. Use the calculator to perform operations on integers. Use the Simple Order of Operations. NOTE: This lesson contains some examples.
The Integers. If we collect all the natural numbers and their additive inverses, then include the number zero, we have a collection of numbers called the integers.
The integers include the positive numbers, the negative numbers, and 0. We know how to add and multiply integers, and we can compare two integers using inequalities.
integers: … , −3, −2, −1, 0, 1, 2, 3, … We denote the set of integers by ℤ (from the German word ‘Zahlen’ which means ‘numbers’). Since these are the only numbers we’ll be considering in this chapter we’ll often use the more informal word ‘number’ instead of ‘whole number’ or ‘integer’.
Integers. The integers are the positive whole numbers, 0, and negative numbers. {...,−4,−3,−2,−1,0,1,2,3,4,...} The Number Line and Comparing Integers. Integers can be graphed on the number line: −3 −2. −1 0. 1 2 3. Negative numbers are to the left of zero and positive numbers are to the right. Zero. −3 −2. −1 0. 1 2 3.
In this chapter, we will describe these kinds of numbers and operations using them. 3.1: Introduction to Integers (Part 1) The opposite of a number is the number that is the same distance from zero on the number line, but on the opposite side of zero.
