Writing decimals to thousandths entails interpreting each digit by its place value—tenths, hundredths, and thousandths—as , , and , and recording quantities in standard decimal notation from words, fractions with denominator , or place-value representations. The understanding includes using zeros as placeholders and distinguishing values such as , , and ; it is limited to finite decimals through the thousandths place, supporting later work with fraction equivalence, comparison, and computation.
To write a decimal to the thousandths place, use the place-value positions:
The digits after the decimal point mean:
Write 3 and 47 thousandths as a decimal.
The whole-number part is , so write before the decimal point.
The decimal part is thousandths, or
Since thousandths use three digits after the decimal, write as . The zero is a placeholder for the tenths place.
Put the digits in their place-value positions:
So, 3 and 47 thousandths is
The zero matters: has tenths, hundredths, and thousandths.
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