Writing decimals to thousandths represents whole numbers and fractional quantities using place value through the thousandths place, where each digit is worth , , or 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 ; it does not extend beyond thousandths.
A decimal has place values to the right of the decimal point:
These places represent , , and .
Example: Write five and twenty-three hundredths as a decimal to the thousandths place.
So, five and twenty-three hundredths is written as to the thousandths place. The zeros at the end do not change the value, so .
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