The Correct Answer and Explanation is:
Correct Answer: Four thousand, six hundred seventy-two ten-thousandths.
Explanation
To convert the decimal number 0.4672 into words, we follow a systematic process based on the principles of place value. This method involves two main steps: reading the number to the right of the decimal point as a whole number and then identifying the correct place value of the final digit.
First, we look at the digits that appear after the decimal point: 4, 6, 7, and 2. We ignore the decimal for a moment and read this sequence of digits as if it were a standard whole number. The number 4672 is read as “four thousand, six hundred seventy-two.” This forms the first part of our answer.
Next, we must determine the place value of the very last digit in the sequence, which is the digit 2. The place values for digits to the right of a decimal point follow a specific order. The first digit (4) is in the tenths place. The second digit (6) is in the hundredths place. The third digit (7) is in the thousandths place. Finally, the fourth digit (2) is in the ten-thousandths place. The place value of this last digit gives the decimal its name.
By combining these two parts, we get the complete expression in words. We take the whole number we identified, “four thousand, six hundred seventy-two,” and append the place value of the last digit, “ten-thousandths.” This results in the final answer: four thousand, six hundred seventy-two ten-thousandths.
It is important to note that the word “and” is not used in this case. In mathematics, “and” is specifically reserved to signify the decimal point when there is a whole number greater than zero preceding it. For instance, the number 5.4672 would be read as “five and four thousand, six hundred seventy-two ten-thousandths.” Since the whole number part in 0.4672 is zero, we simply state the decimal portion.
