Place Value of 1

The Place Value of any number is based on the position of dthe igits within the number. That means if a number is 231, the place value of 1 is 100, whereas in 17, 1 holds the tens position, so its value is considered as 10. 

In order to identify the place value of 1 in a number, one can use the place value chart. The place value chart represents the value of each position in terms of the power of 10. These values begin at 10⁰, and the exponent increases by one with each position. The digit at the rightmost place holds the smallest power and hence the smallest value. 

Example: The position of digit “1” in the number 12 is second from the right, which implies the value 10¹. Similarly, in number 51, the digit “1” has a place value of 10°, which equals 1. 

These positions can also be referred to in terms of their value, like if a digit holds the value 1, it is in the“ones” position, for value 10, it's in the “tens” position, for 10²(100) it's the hundreds position, and so on. 
 

Follow the steps given below to determine the place value of a digit in a given number:

Step 1) Track the position of the digit 1 in the given number.

Step 2) Allot its position with its respective value.

Example: In number 183, “1” rests in the hundreds position, hence its position will hold the value 10².

Step 3)  To find a digit’s numerical value, multiply the digit by its place value. 

In the example above, the numerical value of “1” in 183 is: place of value of 1× digit  = 100×1 = 100

Determining the place value is not much of rocket science, still it can be a bit confusing at the beginning. To make your understanding more promising, here are a few tips and tricks.

• To understand place value better, try writing the number in an expanded form. 

For example: 23 = 20+3 = 2×10 + 3×1

⇒2's position = Tens

⇒ 3's position = Ones

• Use an example of money to understand place values, like pennies are ones, dimes are tens, and dollars are hundreds.

• To determine the place value of any digit in a number, just add (n-1) times zero to the end of 1 for any position n. Example: 567, position of 5 = 3rd, value = 100⇒hundreds. Position of 6 = 2nd, value = 10⇒ tens.

• Use commas to separate periods for better understanding, like 20,435.

• Remember to add “th” at the end of the place value name when working with decimal fractions, such as tenths, hundredths, etc. It indicates that the digit is of the fractional part

• Place Value Chart: A place value chart is a tool for visual representation of the value of each digit in a number based on its position.

• Decimal: A decimal is a number combining both a whole number and its fractional parts, separated by a decimal point.

• Whole number: The set of non-negative numbers is simply called whole numbers.

• Digit: A single number(0-9) can be called as a digit.

• Number: It is a numerical value composed of a single digit or maybe more. E.g. 3, 22, 43