Page 39 - Math Skill - 4

Multiplication and Division 37

Multiplication by 2-digit and 3-digit Number
Let us learn to multiply a 4-digit number with a 2-digit number and 3-digit number.

Let’s Attempt

Example 1: Multiply 3453 by 25.
Solution: TTh Th H T O

3 4 5 3 multiplicand
× 2 5 20 + 5 (Expand the multiplier)

1 7 2 6 5 (3453 × 5)

+ 6 9 0 6 0 (3453 × 20)
8 6 3 2 5 product

Thus, 3453 × 25 = 86325

Example 2: Multiply 2419 by 124.
Solution: L TTh Th H T O

2 4 1 9
× 1 2 4 100 + 20 + 4 (Expand the multiplier)
9 6 7 6 (2419 × 4)
4 8 3 8 0 (2419 × 20)

+ 2 4 1 9 0 0 (2419 × 100)
2 9 9 9 5 6 Thus, 2419 × 124 = 299956

Example 3. Multiply 4713 by 630.

Solution: TL L TTh Th H T O
4 7 1 3
× 6 3 0 600 + 30 + 0 (Expand the multiplier)
0 0 0 0 (4713 × 0)
1 4 1 3 9 0 (4713 × 30)
+ 2 8 2 7 8 0 0 (4713 × 600)

2 9 6 9 1 9 0 Thus, 4713 × 630 = 2969190
Example 4. Multiply 6709 by 803.

Solution: TL L TTh Th H T O
6 7 0 9
× 8 0 3 800 + 00 + 3 (Expand the multiplier)
2 0 1 2 7 (6709 × 3)
0 0 0 0 0 (6709 × 00)

+ 5 3 6 7 2 0 0 (6709 × 800)
5 3 8 7 3 2 7 Thus, 6709 × 803 = 5387327