When solving a problem, you must choose which of these calculation methods is best to use: mental math, pencil and paper, or calculator.

\begin{tabular}{|l|l|}
\hline
Tournament Records & \\
\hline
Spear throw & Archery \\
\hline
100 meters & 600 meters \\
\hline
Fencing & Shot put \\
4 hours & 27 meters \\
\hline
\end{tabular}

Which methods would you use to solve these Tournament Records problems?

1. How many minutes did it take to reach the record for fencing?
[tex]\[4 \times 60\][/tex]
(I can do this using mental math.)

2. How many centimeters is the shot put record?
[tex]\[27 \times 100\][/tex]
(I think I'll use pencil and paper.)

Use these hints when you are choosing a calculation method:
- First, try mental math. Look for easy computations.
- Then choose paper and pencil or a calculator.
- It is better to use a calculator when many steps are needed.



Answer :

To solve the given Tournament Records problems, we need to understand the most efficient methods to perform each calculation.

### 1. Calculating the time for the Fencing record in minutes:

We are given that the fencing record is 4 hours. We need to convert this time into minutes.

Since there are 60 minutes in one hour, we apply the following calculation:

[tex]\[ 4 \text{ hours} \times 60 \text{ minutes/hour} \][/tex]

- This is a straightforward multiplication problem involving small numbers (4 and 60).
- Since it’s a simple calculation, it can be easily done using mental math.

Result:

[tex]\[ 4 \times 60 = 240 \][/tex]

So, it took 240 minutes to reach the record for fencing.

### 2. Calculating the Shot Put record in centimeters:

We are given that the shot put record is 27 meters. We need to convert this distance into centimeters.

Since there are 100 centimeters in one meter, we apply the following calculation:

[tex]\[ 27 \text{ meters} \times 100 \text{ centimeters/meter} \][/tex]

- This is a straightforward multiplication problem, but involves larger numbers (27 and 100).
- Even though it's not overly complex, some may prefer pencil and paper to ensure accuracy, especially for larger multiplications.

Result:

[tex]\[ 27 \times 100 = 2700 \][/tex]

So, the shot put record is 2700 centimeters.

### Conclusion:

- For the fencing record conversion from hours to minutes, the most efficient method is mental math because the multiplication is simple.
- For the shot put record conversion from meters to centimeters, using pencil and paper to perform the multiplication ensures accuracy, given the slightly larger numbers.

Thus, the final results are:
- Fencing record: 240 minutes
- Shot put record: 2700 centimeters