Answered

1. Find the actual and estimated sum by rounding off to the nearest lakh.

a.
- Actual:
- Estimated:

[tex]\[
\begin{array}{r|}
\hline
281025 \\
+\quad 128509 \\
\hline
\end{array}
\][/tex]

b.
- Actual:
- Estimated:

[tex]\[
\begin{array}{r}
1429817 \\
+5607520 \\
\hline
\end{array}
\][/tex]

2. Find the actual and estimated difference by rounding off to the nearest lakh.

a.
- Actual:
- Estimated:

[tex]\[
\begin{array}{r|}
\hline
527319 \\
-\quad 25103 \\
\hline
\end{array}
\][/tex]

b.
- Actual:
- Estimated:

390784 kg wheat and 123000 kg pulses in a year.



Answer :

GinnyAnswer
Let's go through each part step-by-step:

### 1. Find the actual and estimated sum by rounding off to the nearest lakh.

#### a. For the numbers 281025 and 128509:

Actual Sum:

[tex]\[ 281025 + 128509 = 409534 \][/tex]

Estimated Sum:

Rounding each number to the nearest lakh:
- [tex]\(281025 \approx 300000\)[/tex] (since 281025 is closest to 300000)
- [tex]\(128509 \approx 100000\)[/tex] (since 128509 is closest to 100000)

Adding the rounded numbers:

[tex]\[ 300000 + 100000 = 400000 \][/tex]

So, the actual sum is 409534 and the estimated sum is 400000.

#### b. For the numbers 1429817 and 5607520:

Actual Sum:

[tex]\[ 1429817 + 5607520 = 7037337 \][/tex]

Estimated Sum:

Rounding each number to the nearest lakh:
- [tex]\(1429817 \approx 1400000\)[/tex] (since 1429817 is closest to 1400000)
- [tex]\(5607520 \approx 5600000\)[/tex] (since 5607520 is closest to 5600000)

Adding the rounded numbers:

[tex]\[ 1400000 + 5600000 = 7000000 \][/tex]

So, the actual sum is 7037337 and the estimated sum is 7000000.

### 2. Find the actual and estimated difference by rounding off to the nearest lakh.

#### For the numbers 527319 and 25103:

Actual Difference:

[tex]\[ 527319 - 25103 = 502216 \][/tex]

Estimated Difference:

Rounding each number to the nearest lakh:
- [tex]\(527319 \approx 500000\)[/tex] (since 527319 is closest to 500000)
- [tex]\(25103 \approx 0\)[/tex] (since 25103 is closest to 0)

Subtracting the rounded numbers:

[tex]\[ 500000 - 0 = 500000 \][/tex]

So, the actual difference is 502216 and the estimated difference is 500000.

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