Decimal Place Value Chart
Concept
Place value in Mathematics describes the position of a digit in a number. Each digit has some value in the number, depending upon its position. When a number is represented in the general form, the position of each digit will be expanded. These positions start from a unit place or ones position. The order of place value of digits in a number from right to left is ones/units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. Decimals are based on the preceding powers of 10. Thus, moving from left to right, the place value of digits gets divided by 10. Moving from right to left, the place value of digits gets multiplied by 10.
Rules
Values to the left of the decimal point are greater than one.
Values to the right of the decimal point are less than one.
The word name of the decimal is determined by the place value of the digit in the last place.
Example
See this number. What digit is in the thousandths place?
23.375
Solution
Use the decimal place value chart to determine which digit is in the thousandths place.
The digit 5 is in the thousandths place.
Practice Decimal Place Value Chart
Practice Problem 1
Select the place value of the underlined digit.
0.387
Hint: Use this place value chart.
Practice Problem 2
See this number. What digit is in the tenths place?
4.017
Practice Problem 3
Write in expanded form.
88.4209
Place value – is the value of each digit in a number.
Place value chart – The place value chart is a table that is used to find the value of each digit in a number based on its position, as per the numeral system.