The objects in these sets are called the elements of the set.Ī set can be described by listing all of its elements. We do a similar thing in mathematics, and classify numbers, geometrical figures and other things into collections that we call sets. For example, we speak of ‘a flock of birds’, ‘a herd of cattle’, ‘a swarm of bees’ and ‘a colony of ants’. English has many words for such collections. In our ordinary language, we try to make sense of the world we live in by classifying collections of things. And for this case, its place value is 1 x 1 =1.A set is just a collection of objects, but we need some new words and symbols and diagrams to be able to talk sensibly about sets. The number 1 occupies the place of ones.So, the place of 2 in the number 9721 is equal to 2 x 10 = 20. Therefore, the place of 7 is equal to 7 x 100 = 700. Another number 7 is at hundred’s place in 9721.So, the place value of 9 is 9 x 1000 = 9000. The number 9 is at a thousand’s place in 9721.Write down the place of the digits in the following number: 9721. The number 5 occupies the one’s place in the number 2965 therefore, the place value of 5 is 5 x 1 = 5.The number 6 is at the ten’s place, so, the place value of 6 = 6 x 10 = 60.

The digit 9 is the hundred’s place, and so, the place value is 9 x 100 = 900.

The digit 2 is at the thousand’s place therefore, its place is 1000 x 2 = 2000.

Write down the place value of the digits in 2965.

The place value of 4 is 4 × 1000 = 4000.

We can summarize that a number holds its place value as the product of the number and place value of one to be at that position.įind the place value of all digits in the number: 4129. Write down the place value of each digit in the number: 768 The methods of finding and writing the place value of any digit in a number are illustrated below with different examples. Thus, for a digit’s place value, the digit is multiplied by the place value of 1 it has to be that place. For example, the place value of 4 in the number 475 is 4 x 100 = 400. Similarly, hundreds of digits’ place value in a three-digit number is 100 x the digit’s face value. In numbers having zeros such as 105, 350, 42017, 90218, the place value of 0 in each number is 0.įor a two-digit number, the place value tens digit is 10 times the digit, For example, the place value of 5 in number 57 is 5 x 10 = 50, and the place value of the one-digit is 7 x 1 =7. Zero may hold any place in a number, but its value will remain to be zero. The place value of zero in any number is always zero. For instance, the place value and face value of 1, 2, 3, 4, 5, 6, 7, 8, and 9 are 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. The place value for a one-digit number is equivalent to its face value. Therefore, the place value of a number is found by multiplying the face value and the value of the number itself

The digit 5 is in the ten-thousandths place, and it has a value of 5 × 10000 = 5/10000 = 0.0005.The digit 8 is in the thousandths place, and it has a value of 8 × 1000 = 8/1000 = 0.008.The digit 1 is in the hundredths place, and it has a value of 1 × 1/100 = 1/100 = 0.01.The digit 3 is in the tenths place, and it has a value of 3 × 1/10 = 3/10 = 0.3.The digit 4 is in the one’s place, and it has the value of 4 × 1 = 4.The digit 2 is in the tens place, and it has a value of 2 × 10 = 20.

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