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Nearest thousandthr
Mathematics
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Step-by-step solution
4 stepsTo round a number to the nearest thousandth, identify the third digit after the decimal point (the thousandths digit).
Look at the digit immediately to its right (the ten-thousandths digit).
- If the ten-thousandths digit is 5 or greater, round up the thousandths digit.
- If the ten-thousandths digit is less than 5, keep the thousandths digit as it is.
- Drop all digits to the right of the thousandths place.
The following problems are correctly rounded to the nearest thousandth
- For 13.4625, the thousandths digit is 2, and the digit to its right is 5. Rounding up gives . Student's answer: 13.4630 (Correct).
- For 73.8063, the thousandths digit is 6, and the digit to its right is 3. Keeping the digit gives . Student's answer: 73.8060 (Correct).
- For 92.7352, the thousandths digit is 5, and the digit to its right is 2. Keeping the digit gives . Student's answer: 92.7350 (Correct).
- For 85.0267, the thousandths digit is 6, and the digit to its right is 7. Rounding up gives . Student's answer: 85.0270 (Correct).
- For 39.1432, the thousandths digit is 3, and the digit to its right is 2. Keeping the digit gives . Student's answer: 39.1430 (Correct).
- For 182.0051, the thousandths digit is 5, and the digit to its right is 1. Keeping the digit gives . Student's answer: 182.0050 (Correct).
is incorrectly rounded.
- Original number: 128.0001
- The thousandths digit is 0. The digit to its right (ten-thousandths) is 1.
- Since , the thousandths digit should remain 0.
- The correct rounding is .
- Student's answer: 128.0080 (Incorrect).
is incorrectly rounded.
- Original number: 67.925
- The thousandths digit is 5. There is no digit to its right, or it can be considered 0.
- Since , the thousandths digit should remain 5.
- The correct rounding is .
- Student's answer: 67.930 (Incorrect).
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