Answer
**Part 1: Calculate \( 2600 \times 900 \)**
- **Exact Answer**: \( 2600 \times 900 = 2,340,000 \)
**Part 2: Estimate and Column Method**
a) **Estimation**:
- Maria estimates \( 2600 \) as \( 3000 \) and \( 900 \) as \( 1000 \).
- **Estimated Product**: \( 3000 \times 1000 = 3,000,000 \)
b) **Column Method**:
- **Exact Calculation**:
\[
\begin{array}{r}
2600 \\
\times 900 \\
\hline
0000 \\
234000 \\
\hline
2,340,000 \\
\end{array}
\]
- **Result**: \( 2,340,000 \)
**Part 3: Accuracy Comparison**
- **Maria's Estimate**: \( 3,000,000 \)
- **Exact Answer**: \( 2,340,000 \)
- **Difference**: \( 3,000,000 - 2,340,000 = 660,000 \)
- **Conclusion**: Maria's estimate was less accurate, being \( 660,000 \) more than the exact answer.
**Part 4: Seconds in a Day**
- **Total Seconds in a Day**: \( 24 \) hours \( \times 60 \) minutes \( \times 60 \) seconds \( = 86,400 \) seconds
**Part 5: Seconds in a 31-Day Month Using Estimate and Compensation**
- **Estimate**:
- Assume \( 30 \) days in a month.
- \( 30 \) days \( \times 86,400 \) seconds/day \( = 2,592,000 \) seconds
- **Compensation**:
- \( 31 - 30 = 1 \) extra day.
- \( 1 \) day \( \times 86,400 \) seconds/day \( = 86,400 \) seconds
- **Total Seconds**: \( 2,592,000 + 86,400 = 2,678,400 \) seconds
Solution
Calculate the value by following steps:
- step0: Calculate:
\(24\times 60\times 60\)
- step1: Multiply the terms:
\(1440\times 60\)
- step2: Multiply the numbers:
\(86400\)
Calculate or simplify the expression \( 31 * 24 * 60 * 60 \).
Calculate the value by following steps:
- step0: Calculate:
\(31\times 24\times 60\times 60\)
- step1: Multiply the terms:
\(744\times 60\times 60\)
- step2: Multiply the terms:
\(44640\times 60\)
- step3: Multiply the numbers:
\(2678400\)
Calculate or simplify the expression \( 2600 * 900 \).
Calculate the value by following steps:
- step0: Calculate:
\(2600\times 900\)
- step1: Multiply the numbers:
\(2340000\)
Let's break down the problem step by step.
### Part 1: Calculate \( 2600 \times 900 \)
1. **Exact Calculation**:
\[
2600 \times 900 = 2340000
\]
### Part 2: Estimate and Column Method
a) **Estimation**:
- Maria might estimate \( 2600 \) as \( 3000 \) and \( 900 \) as \( 1000 \).
- Therefore, the estimated product would be:
\[
3000 \times 1000 = 3000000
\]
b) **Column Method**:
- To find the exact number of litres using the column method, we can break it down:
\[
\begin{array}{c}
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
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