volume_mute

6,734 - 356

publish date2025/10/30 22:19:53.173210 UTC

Answer = (1)

Correct Answer

(1) 6378

Explanation

We will write the subtraction in vertical form. To subtract in the ones column, we will borrow from the tens column of the minuend 6,734. Each step of this subtraction is explained separately, and your solution should look like the last step.

\( \begin{array}{r} \phantom{-}6,734 \\ - \underline{\phantom{9}356} \\[4pt] \phantom{-} \end{array} \)

Since 6 in the ones column of 356 is greater than 4 in the ones column of 6,734, we need to borrow from the tens column.

\( \require{cancel} \begin{array}{r} \phantom{-}6,7\overset{\color{#e6007e}{2}}{\not{3}}\overset{\color{#e6007e}{14}}{\not{4}} \\ - \underline{\phantom{9}356} \\[4pt] \phantom{-} \end{array} \) Borrow 1 ten from 3 in the tens column and change the 3 to 2. Add the borrowed 10 to the digit 4 in the ones column of the minuend to get 14.

Now we can subtract in the ones column: 14 − 6 = 8.

\( \require{cancel} \begin{array}{r} \phantom{-}6,7\overset{\color{#e6007e}{2}}{\not{3}}\overset{\color{#e6007e}{14}}{\not{4}} \\ - \underline{\phantom{9}356} \\[4pt] \phantom{-}\color{#e6007e}{8} \end{array} \)

Next, we subtract in the tens column: 2 − 5 is not possible, so we must borrow from the hundreds column.

\( \require{cancel} \begin{array}{r} \phantom{-}6,\overset{\color{#e6007e}{6}}{\not{7}}\overset{\color{#e6007e}{12}}{\not{3}}\overset{\color{#e6007e}{14}}{\not{4}} \\ - \underline{\phantom{9}356} \\[4pt] \phantom{-}\color{#e6007e}{28} \end{array} \) Borrow 1 hundred from 7 in the hundreds column and change the 7 to 6. Add the borrowed 10 to the digit 2 in the tens column to get 12. Then subtract in the tens column: 12 − 5 = 7.

Now we perform the subtraction in the hundreds column: 6 − 3 = 3. Bring down the 6 from the thousands column.

\( \require{cancel} \begin{array}{r} \phantom{-}6,\overset{6}{\not{7}}\overset{12}{\not{3}}\overset{14}{\not{4}} \\[-2pt] -\underline{\phantom{9}356} \\[4pt] \phantom{-}6,378 \end{array} \)

The difference is 6,378.

Reference

go-math-science.com


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