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Chapter 2: Problem 1

Mark each statement true (T) or false (F). \(-7\) is an integer.

Short Answer

Expert verified
T

Step by step solution

01

Understanding Integers

Integers are a subset of numbers that include all whole numbers and their negative counterparts. This means both positive and negative whole numbers, as well as zero, are considered integers.
02

Identify the Given Number

The given number is -7.
03

Check the Definition

Determine if -7 meets the criteria for an integer. Since -7 is a whole number and a negative counterpart of a positive whole number, it fits the definition of an integer.
04

Mark the Statement

Based on the above verification, determine whether the statement '-7 is an integer' is true or false.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

integers definition
Integers are an essential concept in mathematics. They are a group of numbers that include all positive whole numbers, their negative counterparts, and zero. To clarify:
  • Positive whole numbers like 1, 2, 3, ... are integers.
  • Negative numbers like -1, -2, -3, ... are also integers.
  • The number 0 is also part of the integers.
Integers do not include fractions or decimals. They are designed to represent whole quantities.
whole numbers
Whole numbers are a subset of integers that include all non-negative numbers. This means that whole numbers are comprised of:
  • Positive numbers like 1, 2, 3, ...
  • The number 0.
Whole numbers do not include negative numbers or any fractional or decimal values. Another point to remember is that all whole numbers are integers, but not all integers are whole numbers, because integers also include negative numbers.
negative numbers
Negative numbers are those numbers that are less than zero. They are represented with a minus sign (-) in front. For example, -1, -2, -3, ... are negative integers. Negative numbers are an essential part of the integers because they balance out positive numbers and allow for subtraction operations that result in numbers less than zero. In terms of everyday usage, negative numbers can represent
  • Debts or losses.
  • Temperatures below freezing.
  • Depths below sea level.
Understanding negative numbers helps us work in a more comprehensive numeric system.

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Most popular questions from this chapter

Now solve these same subtraction problems. $$ 6-(-4) $$

Solve the following addition problems. $$ 0+(-1) $$

Solve these division problems. $$ 5 \div(-5) $$

Solve the following multiplication problems. $$ 3 \cdot 3 $$

See if you can figure out the sign of the correct answer to each problem. Then circle the letter next to the correct answer and spell a phrase. $$ (-6)+(-2)=\quad(-) \mathrm{E} \text { or }(+) \mathrm{S} $$
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