What do we call the set of negative numbers and whole numbers?a)Natura...
The set of negative numbers and whole numbers is called integers.
Z={,....−2,−1,,0,1,2,.....}
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What do we call the set of negative numbers and whole numbers?a)Natura...
**Integers: The Set of Negative Numbers and Whole Numbers**
**Introduction**
When we think about numbers, we usually start with counting numbers like 1, 2, 3, and so on. However, in mathematics, there are different sets of numbers that include various types. One such set is called the set of integers, which includes both negative numbers and whole numbers.
**What are Whole Numbers?**
Whole numbers are a set of numbers that includes all the counting numbers (1, 2, 3, ...) along with zero (0). These numbers are used to represent quantities that cannot be divided or broken down into smaller parts. For example, if we have 3 apples, we can represent it using the whole number 3.
**What are Negative Numbers?**
Negative numbers, on the other hand, represent values less than zero. They are used to describe quantities that are less than nothing or debts. For example, if we owe someone 5 dollars, we can represent it using the negative number -5.
**The Set of Integers**
The set of integers is the combination of both the whole numbers and negative numbers. It includes all the positive numbers (whole numbers) along with their negative counterparts. This set can be represented as {..., -3, -2, -1, 0, 1, 2, 3, ...}.
**Why are they called Integers?**
The term "integer" comes from the Latin word "integer," which means "untouched" or "whole." The whole numbers and negative numbers together form a complete set of numbers without any missing or "untouched" values. Hence, they are called integers.
**Properties of Integers**
Integers have some unique properties that make them different from other sets of numbers. Some of these properties include:
1. Closure property: When you add, subtract, or multiply two integers, the result is always an integer.
2. Ordering property: Integers can be arranged in a specific order from least to greatest or vice versa.
3. Addition and subtraction: Integers can be added or subtracted using the rules of arithmetic.
4. Multiplication and division: Integers can be multiplied or divided using the rules of arithmetic, but division may result in a fraction or decimal.
**Conclusion**
In conclusion, the set of integers includes both negative numbers and whole numbers. It is a complete set of numbers that can be used to represent positive values, negative values, and zero. Integers have unique properties and are an essential concept in mathematics, allowing us to perform various operations and solve a wide range of problems.
What do we call the set of negative numbers and whole numbers?a)Natura...
The answer is integer because it is said to be all no that can be represented on a number line that can be positive as well as nagative
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