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Chapter 1: Problem 101

How does the set of integers differ from the set of whole numbers?

Short Answer

Expert verified
The set of integers is different from the set of whole numbers because, in addition to zero and positive numbers, it also includes negative numbers.

Step by step solution

01

Define the set of whole numbers

Whole numbers are the set of numbers that includes zero and all the positive numbers. They do not include any fractions or decimals.
02

Define the set of integers

Integers are a set of numbers that includes all positive numbers, zero and also negative numbers.
03

Compare the two sets

On comparing both sets, it's clear that they both include zero and all positive numbers. But the set of integers also includes negative numbers. Therefore, the principal difference is that integers include negative numbers, while whole numbers do not.

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Most popular questions from this chapter

Will help you prepare for the material covered in the next section. In each exercise, a subtraction is expressed as addition of an opposite. Find this sum, indicated by a question mark. $$7-10=7+(-10)=?$$

Use a calculator to find a decimal approximation for each irrational number, correct to three decimal places. Between which two integers should you graph each of these numbers on the number line? $$1-\sqrt{2}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$(24 \div 6) \div 2=24 \div(6 \div 2)$$

Give an example of a real number that is not an irrational number. (Section \(1.3,\) Example 5 ).

Write each phrase as an algebraic expression. a loss of half of an investment of \(d\) dollars
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