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Example 2: Multiply: 186 x 3, Solution:, 186 x 3, (100+ 80 + 6)×3, (Writing 186 in the expanded notation), (Multiplying each term separately by 3), 100 x 3+ 80 × 3+6x3, = 300 + 240+ 18, = 558, (Adding), 3 Example 3: Multiply 3056 by7., Solution:, 3056 X 7, = (3000 + 50 + 6) × 7, = 3000 x 7+ 50 × 7+6 × 7 (Multiplying each term separately by 7), = 21000 + 350 +42, (Writing 3056 in the expanded notation), %3D, you, = 21392, (Adding), Activity-3, Find each of the following products using expanded notation:, 2. 5x 43, 1. 15 X 6, 3. 39 x 8, 4. 27 x 9, Du., 5. 115 X 3, 6. 455 X 2, 7. 9X515, 8. 325 x 7, 9. 1935 x 6, 10.3 x 6705, 11. 2005 x 5, 12. 8903 x 6, Multiplication by 10, 100 and 1000, 1. To multiply a number by 10, put a zero to the right of the number., Example : 72 x 10,, 720, Lod, 2. To multiply a number by 100, put two zeros to the right of the number., 7200, Example : 72 x 1,00,, %3D, 3. To multiply a number by 1000, put three zeros to the right of the number., Example : 72 × 1000,= 72000, When we multiply a number by a multiple of 10, 100 or 1000,, Remember : we multiply the number by the given digit (1,2,3, ..., 9) and, then put one, two or three zeros to the right of the product.