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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 includes all positive and negative numbers and zero. The set of whole numbers only includes positive numbers and zero. Therefore, the key difference between them is that the integers include negative numbers, unlike the whole numbers. Hence, whole numbers are a subset of integers.

Step by step solution

01

Understand the concept of Integers

Integers is a set that includes all whole numbers (both positive and negative) and zero. This means this set consists of numbers such as .., -3, -2, -1, 0, 1, 2, 3, ..
02

Understand the concept of Whole Numbers

Whole numbers are a set of numbers which include all positive integers from 0 to infinity. These numbers are 0, 1, 2, 3, ..
03

Recognise the difference between integers and whole numbers

The key difference between the two sets lies in the fact that integers include negative numbers and zero, while whole numbers only include positive numbers and zero. Whole numbers are a subset of integers.

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Most popular questions from this chapter

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)

Write a problem that can be solved by finding the difference between two numbers. At least one of the numbers should be negative. Then explain how to solve the problem.

Simplify each series of additions and subtractions. $$-19-8-(-6)+(-21)$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I found the variation in elevation between two heights by taking the difference between the high point and the low point.

Find the value of each expression. $$|-9-(-3+7)|-|-17-(-2)|$$
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