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#### Prerequisites

Before you begin, ensure you have:

1. **Python Installed**: You can download Python from [python.org](https://www.python.org/).
2. **Basic Understanding of Python**: Familiarity with Python programming concepts.
3. **An IDE or Text Editor**: You can use Jupyter Notebook, VSCode, or any editor of your choice.

#### Step 1: Installing Required Libraries

Open your terminal or command prompt and install TensorFlow:

```bash
pip install tensorflow matplotlib
```

- **TensorFlow**: An open-source library for machine learning and deep learning.
- **Matplotlib**: A library for creating static, animated, and interactive visualizations in Python.

#### Step 2: Import Libraries

In your Python script or Jupyter Notebook, start by importing the required libraries:

```python
import numpy as np
import matplotlib.pyplot as plt
import tensorflow as tf
from tensorflow import keras
from tensorflow.keras import layers
```

#### Step 3: Load the MNIST Dataset

The MNIST dataset is included with Keras, making it easy to load. The dataset consists of 70,000 images of handwritten digits (0 through 9).

```python
# Load the MNIST dataset
mnist = keras.datasets.mnist
(x_train, y_train), (x_test, y_test) = mnist.load_data()
```

#### Step 4: Preprocess the Data

The images in the dataset are in the format of 28x28 pixels. We'll normalize the images to values between 0 and 1 for better network performance.

```python
# Normalize the pixel values (0-255) to a range of 0-1
x_train = x_train.astype('float32') / 255
x_test = x_test.astype('float32') / 255

# Check the shape of the data
print(f"x_train shape: {x_train.shape}, y_train shape: {y_train.shape}")
print(f"x_test shape: {x_test.shape}, y_test shape: {y_test.shape}")
```

#### Step 5: Define the Neural Network Model

Now, we will define a simple feedforward neural network using Keras. This network will have:

- An input layer
- Two hidden layers (with ReLU activation)
- An output layer (with softmax activation for multi-class classification)

```python
model = keras.Sequential([
layers.Flatten(input_shape=(28, 28)), # Flatten the input images
layers.Dense(128, activation='relu'), # First hidden layer with ReLU activation
layers.Dense(10, activation='softmax') # Output layer with softmax activation
])
```

#### Step 6: Compile the Model

Before training the model, we need to compile it. We will specify the optimizer, loss function, and metrics we are interested in.

```python
model.compile(optimizer='adam',
loss='sparse_categorical_crossentropy',
metrics=['accuracy'])
```

#### Step 7: Train the Model

Now, it's time to train the model using the training dataset. We'll also validate the performance on the test dataset.

```python
# Train the model
model.fit(x_train, y_train, epochs=5)

# Evaluate the model on the test set
test_loss, test_accuracy = model.evaluate(x_test, y_test)
print(f'\nTest accuracy: {test_accuracy}')
```

#### Step 8: Make Predictions

After training, we can use the model to make predictions on the test dataset.

```python
# Make predictions on the test dataset
predictions = model.predict(x_test)

# Output the prediction for the first test image
predicted_label = np.argmax(predictions[0]) # Get the class with the highest predicted probability
print(f'Predicted label for the first image: {predicted_label}')

# Display the first image and its predicted label
plt.imshow(x_test[0], cmap='gray')
plt.title(f'Predicted Label: {predicted_label}')
plt.axis('off')
plt.show()
```