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Subtract 9,927 - 568

publish date2025/10/30 12:24:25.111120 UTC

Answer = (1)

Correct Answer

(1) 9359

Explanation

We will write the subtraction in vertical form and subtract as usual. In each column, we must watch for a digit in the subtrahend that is greater than the digit directly above it in the minuend.  If a digit in the subtrahend is greater than the digit above it in the minuend, we need to borrow (regroup) to subtract in that column.

We write the subtraction in vertical form, so that the corresponding digits are lined up. Each step of this subtraction is explained separately.  Your solution should look like the last step.

\[ \begin{array}{r} \phantom{-}9927 \\ - \underline{\phantom{9}568} \\[4pt] \phantom{-}9359 \end{array} \]

Since 8 in the ones column of 568 is greater than 7 in the ones column of 9,927, we cannot immediately subtract. To subtract in that column, we must regroup by borrowing 1 ten from 2 in the tens column. In this process, we use the fact that 1 ten = 10 ones.

Since 6 in the tens column of 568 is greater than 1 in the tens column directly above it, we cannot immediately subtract. To subtract in that column, we must regroup by borrowing 1 hundred from 9 in the hundreds column. In this process, we use the fact that 1 hundred = 10 tens.

Complete the solution by subtracting in the hundreds column (8 - 5 = 3) and bringing down the 9 in the thousands column.

\[ \require{cancel} \begin{array}{r@{}r@{}r@{}r@{}r} & 9 & \overset{\color{red}{8}}{\cancel{9}} & \overset{\color{red}{\overset{11}{\cancel{1}}}}{\cancel{2}} & \overset{\color{red}{17}}{\cancel{7}} \\ - & & 5 & 6 & 8 \\ \hline & 9 & 3 & 5 & 9 \end{array} \]
The difference is 9,359

Reference

Mathematics for college students


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