How to Find Decimal Place Value

Count each position outward from the decimal point

To find a decimal digit’s place, count its position from the decimal point. The first digit is tenths, the second hundredths, the third thousandths, and the pattern continues. This is the structure to keep in mind before choosing a calculation or rewriting the number.

Mark the point, count to the target digit, name the place, then state the digit’s value as digit × place unit. This final step distinguishes the place name from the amount represented. Make a quick estimate or identify the relevant unit first; that gives you a check independent of the written steps.

Read the places in Find the value of 7 in 58.273 from tenths to hundredths, thousandths, and beyond; each step right is one tenth as large. Link the place to its measurement unit when useful: 0.01 metre is one centimetre, while 0.001 metre is one millimetre.

Applying finding a decimal place in context

The distinction is useful when a question asks either “where is the digit?” or “what is its value?” The place is hundredths; its value depends on the digit occupying it.

Expand Find the value of 7 in 58.273 into the amounts contributed by its digits, then add those amounts back together. This checks the place names and catches a zero that was skipped or put in the wrong column.

Say the number in words, then write it back in standard form as a check on The 7 is in the hundredths place and has value 0.07.. The final decimal place determines the fractional name: 0.36 is thirty-six hundredths. This is different from naming each digit separately, and it helps locate zeros that hold empty places.

Why finding a decimal place works

Place value follows a base-ten pattern: each move left multiplies a place by ten, and each move right divides it by ten. In Find the value of 7 in 58.273, a digit’s contribution is its digit multiplied by the value of its column. The decimal point separates whole units from fractional units; it is not itself a digit.

Zeros can hold a place without adding an amount. In The 7 is in the hundredths place and has value 0.07., check whether each zero keeps a later digit in its intended column. Writing the number as a sum of its nonzero place values is a useful way to test both the column names and the total.

Explore a nearby finding a decimal place case

Move one nonzero digit in Find the value of 7 in 58.273 a single column to the left, then to the right. Its value should become ten times as large in the first move and one tenth as large in the second.

After moving a digit in Find the value of 7 in 58.273, rebuild the changed number in expanded form. If the sum does not match the numeral, inspect the place name and any zero holding a later digit in position.

Questions to test finding a decimal place

Use these questions after finishing a problem about how to find decimal place value:

• Which column gives the selected digit its value in Find the value of 7 in 58.273?
• Is any zero holding a later digit in its place?
• Could expanded form rebuild the original decimal?

Check a finding a decimal place result

Before you accept a result, pause and ask:

• Name the column as well as the digit.
• Check every placeholder zero.
• Expand the number into digit values.
• Add the parts to confirm Find the value of 7 in 58.273.