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**FAQs**

**What is an integer?**An integer is a whole number that can be positive, negative, or zero, and it does not include fractions or decimals.**Integers define:**Integers are defined as a set of numbers that consist of all positive and negative whole numbers, as well as zero. They are used to represent values that do not have fractional or decimal parts.**Integers definition:**Integers are a set of numbers that include all positive and negative whole numbers and zero, excluding fractions and decimals.**Integers numbers:**Integers numbers are the whole numbers that can be positive (e.g., 1, 2, 3), negative (e.g., -1, -2, -3), or zero.**Integers meaning:**The meaning of integers refers to the concept of whole numbers that can be positive, negative, or zero, without any fractional or decimal parts.Integers meaning in Hindi: इंटीजर्स का हिंदी में अर्थ होता है पूर्ण संख्या जो धनात्मक, ऋणात्मक या शून्य हो सकती हैं, और इसमें भिन्न या दशमलव नहीं होते हैं।

**Integers of class 6: (syllabus)**In class 6, students learn about integers, their properties, and operations such as addition, subtraction, multiplication, and division of integers.**Integers with example:**Examples of integers include -3, -2, -1, 0, 1, 2, 3. These are whole numbers that can be positive, negative, or zero.**What numbers are integers?**Numbers that are whole, either positive, negative, or zero, are considered integers. Examples include -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5.**Common questions:****Are integers rational numbers?**Yes, integers are rational numbers. Rational numbers are numbers that can be expressed as a fraction (a/b) where a and b are integers, and b is not equal to 0. Since integers can be expressed as a fraction with a denominator of 1, they are considered rational numbers.**Why are integers denoted by Z?**Integers are denoted by the letter "Z" from the German word "Zahlen," which means "numbers." The notation was introduced by the mathematician Nicolas Bourbaki, a collective pseudonym for a group of mainly French mathematicians who wrote a series of books on modern advanced mathematics.**Who invented integers?**Integers were not invented by a single person. The concept of integers has evolved over time as civilizations developed and expanded their understanding of numbers. The ancient Sumerians, Babylonians, Egyptians, Greeks, Chinese, and Indians all contributed to the development of the number system, including the concept of integers.**How many integers are there between 200 and 500?**To find the number of integers between 200 and 500, you can count the numbers from 201 to 499. There are a total of 499 - 201 + 1 = 299 integers between 200 and 500.**How to solve integers?**To solve problems involving integers, you need to understand the basic operations of addition, subtraction, multiplication, and division. Here are some rules for these operations:

**Addition:**- If both integers have the same sign, add their absolute values and keep the common sign.
- If the integers have different signs, subtract the smaller absolute value from the larger one and keep the sign of the integer with the larger absolute value.

**Subtraction:**- To subtract an integer, add its opposite. For example, to subtract -3 from 5, add +3 to 5, resulting in 5 + 3 = 8.

**Multiplication and Division:**- When multiplying or dividing two integers, the result is positive if both integers have the same sign and negative if they have different signs.

**Which integers are not whole numbers?**All integers are whole numbers. Whole numbers are the set of non-negative integers, including 0, 1, 2, 3, and so on. Integers include both positive and negative whole numbers as well as 0. So, all integers are considered whole numbers, but not all whole numbers are integers (since whole numbers do not include negative numbers.

**Integers class 6 important questions**

**Addition of Integers:**

Problem: Add the integers -5 and 8.

**Subtraction of Integers:**

Problem: Subtract -7 from 12.

**Multiplication of Integers:**

Problem: Multiply -3 and 6.

**Division of Integers:**

Problem: Divide 24 by -4.

**Simplifying Integer Expressions:**

Problem: Simplify the expression: 4 - (-7) + (-5) - 3.

**Word Problems on integers class 6th**

Problem: A submarine is at a depth of 250 meters below sea level. It descends another 75 meters. What is its new depth below sea level?

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