Page 81 - Touchpad Mathematics_Ver1.0_C4

example 2. Multiply 232 by 23.

Solution. Here, the multiplier 23 = 2 tens + 3 ones = 20 + 3. So, we multiply 232 by 23

stepwise as shown below.

Step 1. Multiply 232 Step 2. Multiply 232 Step 3. Add the partial
by the ones. by the tens. products.

Th H T O

Th H T O 2 3 2

Th H T O 2 3 2 × 2 3

2 3 2 × 2 3 6 9 6
× 2 3 6 9 6 + 4 6 4 0

6 9 6 4 6 4 0 5 3 3 6

232 × 3 = 696 232 × 20 = 4640 696 + 4640 = 5336

So, 232 × 23 = 5336.

Multiplication of a 2- and 3-digit Number by a 2-digit Number (With regrouping)

example 3. Multiply 56 by 32.

Solution. Here, multiplier 32 = 3 tens + 2 ones = 30 + 2. So, we multiply 56 by 32
stepwise as shown below.

Step 1. Multiply 56 Step 2. Multiply 56 Step 3. Add the partial
by the ones. by the tens. products.

Th H T O Th H T O
5 6
H T O 1 1

1 1 5 6 × 3 2
5 6 × 3 2 1 1 2

× 3 2 1 1 2 + 1 6 8 0

1 1 2 1 6 8 0 1 7 9 2

56 × 2 = 112 56 × 30 = 1680 112 + 1680 = 1792

So, 56 × 32 = 1792.

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Multiplication