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Evaluate.

6.168-0.432=

Evaluate.\newline6.1680.432=6.168-0.432=

Full solution

Q. Evaluate.\newline6.1680.432=6.168-0.432=
  1. Align and subtract: Align the decimal points and subtract the numbers.\newline6.1686.168\newline0.432-0.432\newline0.000\underline{\phantom{0.000}}\newlineTo subtract, we start from the rightmost digit and move to the left. If a digit in the top number is smaller than the digit below it, we need to borrow from the next left digit.
  2. Subtract thousandths: Subtract the digits in the thousandths place (82)(8 - 2).\newline6.1686.168\newline0.432-0.432\newline0.000\underline{\phantom{0.000}}\newline82=68 - 2 = 6, so we write 66 in the thousandths place.
  3. Subtract hundredths: Subtract the digits in the hundredths place (63)(6 - 3).\newline6.1686.168\newline0.432-0.432\newline0.000\underline{\phantom{0.000}}\newline63=36 - 3 = 3, so we write 33 in the hundredths place.
  4. Subtract tenths with borrowing: Subtract the digits in the tenths place 141 - 4. Since 11 is smaller than 44, we cannot subtract 44 from 11 without borrowing. However, there is a 66 in the ones place, so we can borrow from there.
  5. Borrow from ones and add to tenths: Borrow 11 from the ones place and add 1010 to the tenths place.\newlineNow we have 1111 tenths instead of 11 tenth.\newline6.1686.168\newline0.432-0.432\newline______\newline114=711 - 4 = 7, so we write 77 in the tenths place.
  6. Subtract ones: Subtract the digits in the ones place (505 - 0).\newlineAfter borrowing, we have 55 in the ones place.\newline6.1686.168\newline0.432-0.432\newline______\newline50=55 - 0 = 5, so we write 55 in the ones place.
  7. Write final answer: Write down the final answer.\newline6.1686.168\newline0.432-0.432\newline0\underline{\phantom{0}}\newline5.7365.736\newlineThe result of the subtraction is 5.7365.736.