Whole Numbers

Whole numbers are one of the most fundamental sets of numbers in mathematics. They are a series of data that contains zero and all the counting numbers (e.g. 0, 1, 2, 3, 4, etc.). They have no fractions or decimals. We will cover the basic properties of whole numbers as well as the detailed characteristics of each whole number. This article will also detail how two whole numbers combine. We will begin with the broad concepts of our counting system before moving on to the qualities that differentiate one number from the other.

Decimal Numbers

The number 1 has no natural number precursor. We add zero as the precursor for 1 to the collection of natural numbers. Decimals are built on powers of ten that come before them. As we proceed from left to right after a decimal point, the value of the digit keeps decreasing. The first digit after the decimal point signifies the tenth place, the next digit towards the right signifies the hundredth place, and so on.

A tenth is one divided by ten. It is 0.1 in decimal form. A hundredth is one divided by 100. It is 0.01 in decimal form. Decimals can be communicated in both expanded and word forms. In other words, they can be explained in their extended and written forms. 

A number line can represent tenths, hundredths, and thousandths. To depict tenths, divide the distance between every full number on a number line into ten equal parts, with each component representing a tenth.

Whole Numbers: Definition

Whole numbers are made up of counting numbers along with the number 0. The first few whole numbers are written as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Any whole number can be represented by any of the 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Whole numbers cannot be negative.

The counting system is a base-10 number system since we employ ten digits. This signifies that each place value is ten times larger than the place value to the right. Those few place values are 1, 10, 100, 1000, and so on. A number’s place value form is the most common method of writing a number.

A figure is founded on the premise that the location of each numeral specifies its value, such as the tens place and ones place. Take a look at the numbers 264 and 642. They employ the same numerals but in a different sequence relative to one another. A number is divisible by some other integer if it can be divided evenly by that number, that is, only if dividing it by that number gives a whole number. 6 is divisible by 3 (we say ‘3 divides 6’) because 6/3 = 2 because 2 is a whole number. However, 6/4 = 1.5, and 1.5 is not a whole integer. Therefore, 6 is not divisible by 4.

It is frequently useful to know if one number divides another. To test divisibility, just divide the number by itself and verify if the answer is a whole number. Nevertheless, if the number to be divided is huge, this becomes quite complex. There are several divisibility rules that make this work considerably easier. These rules allow us to know if a number is divisible by another number without having to divide it.

Divided by 1

When a number is split by one, it remains unchanged. As a result, each whole number can be divided by one.

Divisibility by 2, 4, and 8

Even integers are all divisible by two. As a result, if a number has a 0, 2, 4, 6, or 8 in the ones position, it is divisible by 2. For instance, 54 and 2,870 are both divisible by 2, but 2,221 is not.

If the final two digits of a number are divisible by 4, the number is divisible by 4. If the outcome is a whole number, the original number is divisible by 4. For example, 780, 52, and 80,744 are all divisible by 4, but 7,850 is not. 

If the last three digits of an integer are divisible by 8, it is divisible by 8. If the result is a whole number, the original number is divisible by 8. For example, 880 and 905,256 are both divisible by 8, but 74,513 is not. 

Conclusion 

Maths requires the power to define whole numbers or distinguish them from natural numbers. Whole numbers, such as 0, 1, and 2, serve as the foundation for comprehending more sophisticated numbers such as real numbers, rational numbers, and irrational numbers. Rounding to the closest whole number might also help you perform calculations or mental maths faster. This article defined whole numbers and their properties. We investigated the distinction between all numbers and whole numbers. Then, using examples, we briefly discussed the various features of whole numbers.