Answer

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**Hint:**From the question given we have to estimate the \[5290+17986\]. Here we have to understand that estimation means sum of the given numbers.so the given problem can be done by doing addition of the given numbers.

**Complete step by step answer:**

Addition means sum or adding numbers, the sign of the addition is \[+\] (plus).

First, we have to write the larger number from the given numbers

Here the larger number is \[17986\]

And then we have to write the smaller number down to the larger number in a particular way that the \[0\] should be written under \[6\] and \[9\] should be written under \[8\] and \[2\] should be written under \[9\] and \[5\] should be written under \[7\] and under \[1\] there will be no number but we can write \[0\] .

\[\begin{align}

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

Now add the numbers from left side onwards,

First add \[6\] to the \[0\] we will get \[6\]

\[\begin{align}

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

\[6\]

Now add \[8\]to the \[9\] we will get \[17\], now \[7\] will be written down and \[1\] will be carry to the next that is above the \[9\]

\[\begin{align}

& \quad \quad \ 1 \\

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

\[76\]

Now add \[9\]to the \[2\] we will get\[11\]and now add the \[1\] which is carried then we will get \[12\] ,now \[2\] will be written down and \[1\] will be carry to the next that is above the \[7\]

\[\begin{align}

& \quad \ \,\ 1 \\

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

\[276\]

Now add \[7\]to the \[5\] we will get\[12\]and now add the \[\ 1\] which is carried then we will get \[13\] ,now \[3\] will be written down and \[1\] will be carry to the next that is above the \[1\]

\[\begin{align}

& \quad \,1 \\

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

\[3276\]

Now add \[1\]to the \[0\] we will get\[1\]and now add the \[1\] which is carried then we will get \[2\], now \[2\] will be written down

\[\begin{align}

& \Rightarrow 17986 \\

& +\,\,\ 05290 \\

\end{align}\]

\[23276\]

**Therefore, the estimation is \[23276\]**

**Note:**Students should be well aware of the basic summation that is addition. Students should be very careful while doing the calculation part for the given question. We should not add the ones place to hundredths place for example in the first step we should not add 0 and 8 we should add 0 and 6. Students must be very careful in this part or the whole solution will be wrong.

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