Solved Examples on Place Value
Example 1: Determine the Place Value of the digit 5 in the number 84,520.
Solution:
In the number 84,520, the digit 5 holds a Place Value of 500, specifically, five hundred.
Example 2: Express the given numbers in both numerical and expanded forms:
- Ten thousand two hundred and thirty-six
- Seven thousand four hundred and eighty-five
Solution:
For “Ten thousand two hundred and thirty-six”:
In numerical form: 10,236
In expanded form: 10,000 + 200 + 30 + 6
For “Seven thousand four hundred and eighty-five”:
In numerical form: 7,485
In expanded form: 7,000 + 400 + 80 + 5
Example 3: Given a number with 8 thousands, 7 hundreds, and 8 tens, determine the number.
Solution:
We calculate the Place Value for the respective digits as follows:
8 thousands = 8,000
7 hundreds = 700
8 tens = 80
Adding all Place Value, we obtain: 8,000 + 700 + 80 = 8,780. Hence, the number is 8,780.
Example 4: Determine the Place Value of the digit 2 in the number 4.32.
Solution:
Using the Decimal Place Value Chart, we identify that the Place Value of 2 in 4.32 corresponds to 2 hundredths. This can be precisely expressed as 2/100, which is equivalently represented as 0.02.
Place Value in Mathematics
Place Value in mathematics refers to the value of a digit due to its position or location of a digit within a number, i.e., the place of any digit with respect to decimal. Every digit within a number holds a specific place. When we represent the number in standard notation, the placement of each digit is expanded. This arrangement starts from the rightmost position, known as the unit’s place or one’s position. The sequence of place values, moving from right to left, holds units, tens, hundreds, thousands, ten thousand, hundred thousand, and so forth.
In this article, we will discuss the concept of Place Value in Maths in detail including its definition, properties, formula, and important terminology of Place Value. Other than that, we will also discuss types of Place Value Chart, some solved problems, and provide practice questions for a better understanding of the concept of this article.
Table of Content
- Meaning of Place Value
- How to Find the Place Value?
- Properties of Place Value
- Place Value Chart with Decimals
- Place Value and Face Value
- Difference Between Place Value and Face Value
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