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Nearest thousandthr

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. To 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.
  2. 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 13.463\boxed{13.463}. 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 73.806\boxed{73.806}. 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 92.735\boxed{92.735}. 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 85.027\boxed{85.027}. 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 39.143\boxed{39.143}. 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 182.005\boxed{182.005}. Student's answer: 182.0050 (Correct).
  3. is incorrectly rounded.

    • Original number: 128.0001
    • The thousandths digit is 0. The digit to its right (ten-thousandths) is 1.
    • Since 1<51 < 5, the thousandths digit should remain 0.
    • The correct rounding is 128.000\boxed{128.000}.
    • Student's answer: 128.0080 (Incorrect).
  4. 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 0<50 < 5, the thousandths digit should remain 5.
    • The correct rounding is 67.925\boxed{67.925}.
    • Student's answer: 67.930 (Incorrect).
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