Decimal Place Value Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

medium
In the number 45.037245.0372, what is the place value of the digit 3?

Solution

  1. 1
    List the decimal place values from left to right after the decimal point: tenths, hundredths, thousandths, ten-thousandths.
  2. 2
    Identify each digit's position in 45.037245.0372: 00 (tenths), 33 (hundredths), 77 (thousandths), 22 (ten-thousandths).
  3. 3
    The digit 3 is in the hundredths place, so its value is 3×0.01=0.033 \times 0.01 = 0.03.

Answer

Hundredths place; value=0.03\text{Hundredths place; value} = 0.03
Decimal place values decrease by a factor of 10 as you move right: tenths (0.10.1), hundredths (0.010.01), thousandths (0.0010.001), and so on. The digit 3 sits in the hundredths column, giving it a value of 0.030.03.

About Decimal Place Value

The value assigned to each digit's position to the right of the decimal point: the first position is tenths (110\frac{1}{10}), the second is hundredths (1100\frac{1}{100}), the third is thousandths (11000\frac{1}{1000}), and so on.

Learn more about Decimal Place Value →

More Decimal Place Value Examples

Example 1 easy

In the number 4.73, identify the value of each digit.

Example 2 medium

Write 3 hundredths, 5 tenths, and 2 ones as a single decimal number.

Example 4 easy

What is the value of the digit 6 in the number 1.63?

Example 5 medium

Order these decimals from least to greatest: 0.8, 0.08, 0.80, 0.008.

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