Question

find the value of: 103x107 please solve the question with full solutions​

Answer 1

Here , as we observe we have to multiply 3 digit numbers and it is a bit difficult one is what usually pupil think but when you look at it clearly we can observe that :

103 = 100 + 3

107 = 100 + 7

Then , 103 × 107 = (100+3)(100+7)

It is in the form of (x+a)(x+b) = x² + (a+b)x +ab

Here ,

• x = 100
• a = 3
• b = 7

$\implies \tt{ {(100)}^{2} + (3 + 7)100 + 3 \times 7} \\ \implies \tt{10000 + 1000 + 21} \\ \implies \tt{11021}$

Hence , Mathematics can be solved very easily if you think logically !!

Thereby , the sum is solved !!

Answer 2

$\huge{\bf{\underline{\green{Answer :}}}}$

⇒ Change the form of value so we can solve easily question :

∴(100 + 3) (100 + 7 )

Now we use this identity to solve easily question :

$\implies \bold{(x + a) (x + b) = \bold{x^{2} + (a + b)x + ab}}$

we should Know firstly about Bodmas Rule :

⇒Bodmas Rule is way of Simplyfing a problem and easy to solve and give basic concept to solve any question sequencly then our answer always correct .

BODMAS stands for:-

B - Bar or braket

O - Of or multiplication

D - Division

M - Multiplication

A - Addition  

S - Substraction

So every question solve according to rule of Bodmas :

Now put the values :

∴ $\implies \bold{(100)^{2} \ + (3 + 7 )100 + 100 \ + \ 7 \ x \ 3}$

$\implies \bold{10000 + 10 \ x \ 100 + 21}$

$\implies \bold{10000 + 1000 + 21}$

$\implies \bold{\boxed{11021}}$...............Answer