Skill: Read decimals to thousandths

Explanation and Free Practice Resources

Reading decimals to thousandths means interpreting each digit by its place value—tenths, hundredths, and thousandths—and naming numbers such as 4.305 as “four and three hundred five thousandths” or “four point three zero five,” including zeros that hold a place. This connects decimal notation with fractions having denominators of 10, 100, or 1,000 and supports comparing and ordering decimals; the scope is limited to values represented through thousandths, not more advanced decimal expansions.

Detailed Explanation: Read decimals to thousandths

A decimal has place values to the right of the decimal point:

  • 1st place: tenths
  • 2nd place: hundredths
  • 3rd place: thousandths

To read a decimal through thousandths:

  1. Read the whole-number part.
  2. Say “and.”
  3. Read all the digits after the decimal as one whole number.
  4. Name the place value of the last digit.

Example: Read (4.305)(4.305)

  1. The digit before the decimal is 44, so read four.
  2. Say and.
  3. The digits after the decimal are (305)(305). Read them as three hundred five.
  4. The last digit is in the thousandths place, so say thousandths.

Therefore,

4.305=four and three hundred five thousandths.4.305=\text{four and three hundred five thousandths}.

The zero is important because it holds the hundredths place. You may also read (4.305)(4.305) as four point three zero five.

Learn by doing: Read decimals to thousandths

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