## Multiplication of  two-digit numbers - Math's tricks

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Today we discuss some problems with the multiplication of two numbers.

1. 72×78 =?

Solution:  I step:  Multiply the unit number of LHS with the unit place digit/number of RHS.

↓       ↓

i.e. 72 ×78 = __ 1 6

II Step: Multiply the ten's place digit of LHS with that next number like if 2 then multiply 2 with 3, 3 with 4, and so on.

ex: 2×3=6, 3×4=12, and so on

In this given problem 7 is in ten's place. So Multiply 7 with 8. Write this answer in a hundred places.

⤤

72×78 = 56 1 6

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2.  62× 68 = 42 1 6,  Apply the above steps to get an answer within 5 seconds.

3. 12×92 =?

Solution  I step:  Here, in-unit place, each number is the same in LHS and RHS as well. Multiply each unit number.

↓      ↓

12×92 = __ 0 4

II step:  Multiply each side ten's place digit number for that hailing answer add unit place number, then write that answer in a hundred places.

↓      ↓

12×92 = __ 0 4

i.e, 1×9 = 9, 9+2=11

⇒   12×92 = 11 0 4

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4. 34×74 = 24 1 6

5. 56×79 =?

Solution:  I step: Multiply each unit number and write only unit place digit at the unit place and tens place number should be kept carry.

↓       ↓           5

i.e,   56 × 79 = __ __ 4

II step: Multiply each ten's place digit number and write the answer in a hundred places.

↓      ↓                  5

i.e.  56 × 79 = 35 __ 4

III step: Multiply LHS of unit place digit with RHS of ten's place digit then multiply LHS of ten's place digit with RHS of unit place digit. Add both hailing answers write in ten's place at the answer.

↓      ↓             5                        ↓           ↓

i.e, 56 × 79 =35 __ 4                    56 × 79 =35 __ 4

⇒   6×7 = 42,                               ⇒   5×9 = 45

⇒ 42+45 = 87

IV step:  Write unit place digit of the hailing answer at ten's place and ten's place digit of hailing answer kept as carrying on a hundred places of an answer, then add an entire answer.

8 5

i.e. 56 × 79 = + 35 7 4

=   44 2 4

⇒ 56 × 79 = 4424

6.   38 × 46 = 1748

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