Ctrl+k

Write decimals to thousandths

Writing decimals to thousandths represents whole numbers and fractional quantities using place value through the thousandths place, where each digit is worth 1/101/10, 1/1001/100, or 1/1,0001/1{,}000 according to its position. The understanding includes translating words, place-value representations, and fractions with denominators of 10, 100, or 1,000 into standard decimal notation, using zero as a placeholder and recognizing equivalent forms such as 0.5=0.5000.5=0.500; it does not extend beyond thousandths.

Detailed Explanation: Write decimals to thousandths

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

tenthshundredthsthousandths\text{tenths} \quad \text{hundredths} \quad \text{thousandths}

These places represent 110\frac{1}{10}, 1100\frac{1}{100}, and 11,000\frac{1}{1{,}000}.

Example: Write five and twenty-three hundredths as a decimal to the thousandths place.

  1. Write the whole number, 55.
  2. Write the decimal point.
  3. “Twenty-three hundredths” means 2323 in the hundredths place. Write 2323 after the decimal:
5.23 5.23
  1. To show the thousandths place, use a zero as a placeholder:
5.230 \boxed{5.230}

So, five and twenty-three hundredths is written as 5.230\boxed{5.230} to the thousandths place. The zeros at the end do not change the value, so 5.230=5.235.230=5.23.

Learn by doing: Write decimals to thousandths

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Words to Number Equivalents - Decimals


    ?