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Mathematics

Add the following numbers and check by reversing the order of addends:

(i) 3189 + 53885

(ii) 33789 + 50311

Whole Numbers

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Answer

(i) 3189 + 53885

3189+5388557074\begin{matrix} & & 3 & 1 & 8 & 9 \ + & 5 & 3 & 8 & 8 & 5 \ \hline & 5 & 7 & 0 & 7 & 4 \ \hline \end{matrix}

Reversing the order:

53885+318957074\begin{matrix} & 5 & 3 & 8 & 8 & 5 \ + & & 3 & 1 & 8 & 9 \ \hline & 5 & 7 & 0 & 7 & 4 \ \hline \end{matrix}

In both cases, the sum is the same.

Hence, 3189 + 53885 = 57074 and the result is verified.

(ii) 33789 + 50311

33789+5031184100\begin{matrix} & 3 & 3 & 7 & 8 & 9 \ + & 5 & 0 & 3 & 1 & 1 \ \hline & 8 & 4 & 1 & 0 & 0 \ \hline \end{matrix}

Reversing the order:

50311+3378984100\begin{matrix} & 5 & 0 & 3 & 1 & 1 \ + & 3 & 3 & 7 & 8 & 9 \ \hline & 8 & 4 & 1 & 0 & 0 \ \hline \end{matrix}

In both cases, the sum is the same.

Hence, 33789 + 50311 = 84100 and the result is verified.

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