![]() Being familiar with place value allows us to put a number together given various place values of the number. The usual way of writing numbers is a place value number system. Importance of Place Value System in Composing Numbers Therefore, the number 65,471 is different from 17,645 because the digits are in different positions. The place value of a digit in a number is the value it holds to be at the place in the number. This is the system in which the position of a digit in a number determines its value. Place value is the basis of our entire number system. But for that, it is important to understand the place value system. Now, that we have learnt how to decompose numbers from 1 to 100, we shall learn how to decompose larger numbers. Starting from 1 and by incrementing each number by 1, we can form the numbers from 1 10 100 as below – 1 Similarly, 5 = 1 + 1 + 1 + 1 + 1 = 1 + 3 + 1 = 2 + 3 = 1 + 4īased on above, we can thus learn how to decompose numbers from 1 to 100. There are three ways to compose the number 4. 3 can be decomposed by 1 + 1 + 1Īnother way to decompose 3 is by adding 1 to 2, i.e. Similarly, to decompose 3, we can add 1 to itself twice, i.e. To decompose 2 from 1 we have to add 1 to itself, i.e. ![]() This is the next counting number after 2.įrom the above, we can see that 1 is the first counting number. This is the next counting number after 1. How many balls can you see in the figure below? Let us learn about decomposing numbers from 1 to 5. The system that is used to represent and compose these numbers is called the number system. These digits, other than 0 are called counting numbers. There are 10 digits, a combination of which is used to compose different numbers. For example, we have the number “ Four “ which in numeric form is written as “ 4 “. So, how do we define a number? A number is an arithmetic value used for representing the quantity and used in making calculations. There are a different sets of numbers such as whole numbers, natural numbers and so on. But we don’t have just one set of numbers. Different arithmetic operations can be performed using these numbers. Without these numbers, it would be impossible to even count things. But, how do we compose these numbers? Let us find out. We are aware of different kinds of numbers that have been defined such as natural numbers, whole numbers, decimal numbers, fractions and so on. ![]() When we think of mathematics, the first thing that comes to our mind is numbers. How are Numbers placed in the Place Value System?.Importance of Place Value System in Composing Numbers.If a decimal number is represented in this way, and we need to compose it, then we also need to pay attention to the place value that each digit will have after adding the decimals. Let’s now look at an example in which we need to perform composing decimal number! Look at example number 4!Įxample 4: Represent the sum of the numbers below in proper form! The decomposition of the number 17.85 should look like this:įrom the decomposition, we understand that in the number 17.85, digit 1 has the place value of tens, digit 7 has the place value of ones, digit 8 has the place value of tenths, and the digit 5 is in the place of hundredths! If we want to complete composing and decomposing decimals, then we need to put each digit of the number in its proper place about the place value! Let’s look at an example of decomposing decimals! Look at the example with the number 3! Therefore, in the result, digit 2 will have a local value of thousands, digit 3 will have a local value of one hundred, digit 8 will have a local value of tens, and digit 5 will occupy the local value of units!Īfter the compilation is complete, the result should look like this:Ĭomposing And Decomposing Whole Numbers -Video Examples Composing And Decomposing Decimals If an integer is represented in this way, and we need to compose it, then we also need to pay attention to the place value that each digit will have after composing. Let’s now look at an example where we need to perform whole number composition! Look at the example with number 2!Įxample 2: Represent the sum of the numbers below in proper form! The decomposition of the number 9473 should look like this:įrom the decomposition, it can be seen that in the number 9473, the digit 9 has the place value of thousands, the digit 4 has the place value of one hundred, the digit 7 has the place value of tens, and the digit 3 is in the place of ones! If we want to complete composing and decomposing whole numbers, then we need to put each digit of the number in its proper place in relation to the place value! Let’s look at an example of factoring an integer! Look at the example with number 1! ![]()
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