diff --git a/README.md b/README.md
index 0b96953..9a5a7ce 100644
--- a/README.md
+++ b/README.md
@@ -29,6 +29,7 @@ Current snapshot date: 2026-04-04.
 - 2D ndarray support with matrix validation.
 - Creation helpers: `array`, `zeros`, `arange`.
 - Addition operations: `add` and `addInPlace` with strict shape checks.
+- Optional extensions: scalar addition and `sum()` reduction.
 - `reshape(int... shape)` with size consistency validation.
 - NumPy-like string display for 1D arrays (including ellipsis for large arrays).
 - Defensive copy behavior on constructors and exports.
@@ -43,6 +44,8 @@ NdArray c = NdArray.arange(0f, 6f, 2f);
 NdArray m = NdArray.array(new float[][] {{1f, 2f}, {3f, 4f}});
 NdArray sum = m.add(NdArray.array(new float[][] {{10f, 10f}, {10f, 10f}}));
 NdArray reshaped = NdArray.arange(6f).reshape(2, 3);
+NdArray shifted = a.add(10f);
+float total = shifted.sum();
 ```
 
 ## Tech Stack and Tooling Choices
@@ -168,6 +171,7 @@ Implemented:
 - 1D and 2D ndarray support.
 - Creation functions (`array`, `zeros`, `arange`).
 - Addition operations (`add`, `addInPlace`).
+- Scalar addition and `sum()` reduction.
 - Reshape with validation.
 
 In progress / next:
diff --git a/src/main/java/org/sadisamir/ndarray/NdArray.java b/src/main/java/org/sadisamir/ndarray/NdArray.java
index 7e5812e..12fad92 100644
--- a/src/main/java/org/sadisamir/ndarray/NdArray.java
+++ b/src/main/java/org/sadisamir/ndarray/NdArray.java
@@ -263,6 +263,18 @@ public NdArray add(NdArray other) {
         return new NdArray(result, numDimensions, shape);
     }
 
+    /**
+     * Returns a new array with a scalar added to every element.
+     */
+    public NdArray add(float scalar) {
+        float[] result = new float[totalElements];
+        for (int index = 0; index < totalElements; index++) {
+            result[index] = flatData[index] + scalar;
+        }
+
+        return new NdArray(result, numDimensions, shape);
+    }
+
     /**
      * Adds another array to this one in place.
      *
@@ -278,6 +290,26 @@ public void addInPlace(NdArray other) {
         }
     }
 
+    /**
+     * Adds a scalar to this array in place.
+     */
+    public void addInPlace(float scalar) {
+        for (int index = 0; index < totalElements; index++) {
+            flatData[index] += scalar;
+        }
+    }
+
+    /**
+     * Returns the sum of all elements in the array.
+     */
+    public float sum() {
+        double total = 0.0d;
+        for (float value : flatData) {
+            total += value;
+        }
+        return (float) total;
+    }
+
     /**
      * Returns a reshaped view of this array.
      *
diff --git a/src/main/java/org/sadisamir/ndarray/demo/NdArrayDemo.java b/src/main/java/org/sadisamir/ndarray/demo/NdArrayDemo.java
index 0f347cc..1a80d53 100644
--- a/src/main/java/org/sadisamir/ndarray/demo/NdArrayDemo.java
+++ b/src/main/java/org/sadisamir/ndarray/demo/NdArrayDemo.java
@@ -21,6 +21,7 @@ public static void main(String[] args) {
         demo1DArrayCreation();
         demo2DArrayCreation();
         demoArithmeticOperations();
+        demoOptionalFeatures();
         demoReshape();
         demoLargeArrayDisplay();
         printFooter();
@@ -105,6 +106,21 @@ private static void demoArithmeticOperations() {
         LOGGER.info("");
     }
 
+    private static void demoOptionalFeatures() {
+        printSection("Optional Features");
+
+        NdArray base = NdArray.array(new float[]{1f, 2f, 3f});
+        LOGGER.info("Scalar addition: base.add(10f)");
+        LOGGER.info("  Base:    {}", base);
+        NdArray shifted = base.add(10f);
+        LOGGER.info("  Shifted: {}", shifted);
+        LOGGER.info("");
+
+        LOGGER.info("Reduction: shifted.sum()");
+        LOGGER.info("  Total:   {}", shifted.sum());
+        LOGGER.info("");
+    }
+
     private static void demoReshape() {
         printSection("Reshape Operations");
 
diff --git a/src/test/java/org/sadisamir/ndarray/NdArrayTest.java b/src/test/java/org/sadisamir/ndarray/NdArrayTest.java
index 277ad62..2cb7555 100644
--- a/src/test/java/org/sadisamir/ndarray/NdArrayTest.java
+++ b/src/test/java/org/sadisamir/ndarray/NdArrayTest.java
@@ -372,4 +372,69 @@ void addInPlaceRejectsNullOperand() {
 
         assertThrows(NullPointerException.class, () -> left.addInPlace(null));
     }
+
+    @Test
+    void addScalarReturnsNewOneDimensionalArray() {
+        NdArray source = NdArray.array(new float[] {1.0f, 2.0f, 3.0f});
+
+        NdArray result = source.add(10.0f);
+
+        assertArrayEquals(new float[] {11.0f, 12.0f, 13.0f}, result.toArray(), 0.0f);
+        assertArrayEquals(new float[] {1.0f, 2.0f, 3.0f}, source.toArray(), 0.0f);
+    }
+
+    @Test
+    void addScalarPreservesTwoDimensionalMetadata() {
+        NdArray matrix = NdArray.array(new float[][] {{1.0f, 2.0f}, {3.0f, 4.0f}});
+
+        NdArray result = matrix.add(-1.5f);
+
+        assertEquals(2, result.getNdim());
+        assertArrayEquals(new int[] {2, 2}, result.getShape());
+        assertEquals(4, result.getSize());
+        assertArrayEquals(new float[] {-0.5f, 0.5f}, result.toMatrix()[0], 0.0f);
+        assertArrayEquals(new float[] {1.5f, 2.5f}, result.toMatrix()[1], 0.0f);
+    }
+
+    @Test
+    void addInPlaceScalarMutatesCurrentArray() {
+        NdArray source = NdArray.array(new float[] {1.0f, 2.0f, 3.0f});
+
+        source.addInPlace(2.5f);
+
+        assertArrayEquals(new float[] {3.5f, 4.5f, 5.5f}, source.toArray(), 0.0f);
+    }
+
+    @Test
+    void addInPlaceScalarPreservesTwoDimensionalShape() {
+        NdArray matrix = NdArray.array(new float[][] {{1.0f, 2.0f}, {3.0f, 4.0f}});
+
+        matrix.addInPlace(-1.0f);
+
+        assertEquals(2, matrix.getNdim());
+        assertArrayEquals(new int[] {2, 2}, matrix.getShape());
+        assertArrayEquals(new float[] {0.0f, 1.0f}, matrix.toMatrix()[0], 0.0f);
+        assertArrayEquals(new float[] {2.0f, 3.0f}, matrix.toMatrix()[1], 0.0f);
+    }
+
+    @Test
+    void sumReturnsTotalForOneDimensionalArray() {
+        NdArray source = NdArray.array(new float[] {1.0f, 2.5f, 3.5f});
+
+        assertEquals(7.0f, source.sum(), 0.0f);
+    }
+
+    @Test
+    void sumReturnsTotalForTwoDimensionalArray() {
+        NdArray matrix = NdArray.array(new float[][] {{1.0f, 2.0f}, {3.0f, 4.0f}});
+
+        assertEquals(10.0f, matrix.sum(), 0.0f);
+    }
+
+    @Test
+    void sumOfEmptyArrayIsZero() {
+        NdArray source = NdArray.array(new float[0]);
+
+        assertEquals(0.0f, source.sum(), 0.0f);
+    }
 }