What is the place value of 600?

In mathematics, every integer in a number has a place value. Therefore, the place value of a number is the value represented by a digit in a number based on its position in the number.

While a place value is the value a digit holds to be at the place in the number, on the other hand, the face value of a digit for any place in the given number is the value of the integer itself.

A place value chart is a diagram that helps us to find and compare the place value of the digits in numbers through millions. The place value of a digit in the place value chart increases by ten times as we shift to the left and decreases by ten times as we shift to the right.

Decimal point

Example 1

Consider a number: 24.3185

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

Therefore, the place value of a number is found by multiplying the face value and the value of the number itself

The place value for a one-digit number is equivalent to its face value. 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 of zero in any number is always zero. Zero may hold any place in a number, but its value will remain to be zero.

Example 2

In numbers having zeros such as 105, 350, 42017, 90218, the place value of 0 in each number is 0.

For 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.

Similarly, hundreds of digits’ place value in a three-digit number is 100 x the digit’s face value. For example, the place value of 4 in the number 475 is 4 x 100 = 400.
Thus, for a digit’s place value, the digit is multiplied by the place value of 1; it has to be that place. The methods of finding and writing the place value of any digit in a number are illustrated below with different examples.

Example 3

Write down the place value of each digit in the number: 768;

The place value of 8 = 8 × 1 = 8
The place value of 6 = 6 × 10 = 60
The place value of 7 is 7 × 100 = 700.

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.

Example 4

Find the place value of all digits in the number: 4129.

The place value of 9 is 9 × 1 = 9
The place value of 2 is 2 × 10 = 20
The place value of 1 is 1 × 100 = 100
The place value of 4 is 4 × 1000 = 4000

Example 5

Write down the place value of the digits in 2965.

The digit 2 is at the thousand’s place; therefore, its place is 1000 x 2 = 2000
The digit 9 is the hundred’s place, and so, the place value is 9 x 100 = 900
The number 6 is at the ten’s place, so, the place value of 6 = 6 x 10 = 60
The number 5 occupies the one’s place in the number 2965; therefore, the place value of 5 is 5 x 1 = 5

Example 6

Write down the place of the digits in the following number: 9721.

The number 9 is at a thousand’s place in 9721. So, the place value of 9 is 9 x 1000 = 9000.
Another number 7 is at hundred’s place in 9721. Therefore, the place of 7 is equal to 7 x 100 = 700.
The number 2 is at the ten’s place. So, the place of 2 in the number 9721 is equal to 2 x 10 = 20.
The number 1 occupies the place of ones. And for this case, its place value is 1 x 1 =1.

Learn the easiest way to understand the basic concept on place value and face value in the second grade.

Suppose we write a number in figures 435 in words we write four hundred thirty five.

Thus, 435 means 4 hundreds 3 tens and 5 ones = 400 + 30 + 5

We write the expanded form of the numbers as 435 = 400 + 30 + 5

Hence, in the number 435, the place value of 4, 3 and 5 are 400, 30 and 5 respectively.

In place value and face value let us first understand the concept of place value of the concerned digits by following the examples.

(i) 350 means: 3 hundreds 5 tens and 0 ones = 300 + 50 + 0

350 = 300 + 50 + 0

In the number 350, the place value of 3, 5 and 0 are 300, 50 and 0 respectively.

(ii) 602 means: 6 hundreds 0 tens and 2 ones = 600 + 00 + 2

602 = 600 + 00 + 2

In the number 602, the place value of 6, 0 and 2 are 600, 00 and 2 respectively.

(iii) 278 means:

2 hundreds 7 tens and 8 ones = 200 + 70 + 8

278 = 200 + 70 + 8

In the number 278, the place value of 2, 7 and 8 are 200, 70 and 8 respectively.

(iv) 777 means: 7 hundreds 7 tens and 7 ones = 700 + 70 + 7

777 = 700 + 70 + 7

In the number 777, the place value of 7, 7 and 7 are 700, 70 and 7 respectively.

(v) 63 means: 0 hundreds 6 tens and 3 ones = 000 + 60 + 3

63 = 000 + 60 + 3

In the number 63, the place value of 0, 6 and 3 are 000, 60 and 3 respectively.

Therefore, the place value of a digit in a number is the value of the place which it has in the number.

In the number 549, the place value of 5 is 500, of 4 is 40 and 9 is 9 as 5 occupies the place of hundreds, 4 occupies the place of tens and 9 occupies the place of ones or unit in the given number 549.

We know the digit in a number occupy the place of ones, tens, hundreds, thousands, etc. from extreme right to left and have the value of that place.

The original value of a digit is called its face value.

In the number 385 the place value of 3 is 300 and its face value is 3,

the place value of 8 is 80 and its face value is 8,

the place value of 5 is 5 and its face value is 5.

Therefore, in any number its important to know the place value and face value of a concerned digit.

2nd Grade Math Practice

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