Question

Using Distributive law, find the square of 101

Answer 1

Answer :

Now,

101^2

= (100 + 1)^2

= (100 + 1) (100 + 1)

= (100 × 100) + { (1 + 1) × 100 } + (1 × 1)

= 10000 + (2 × 100) + 1

= 10000 + 200 + 1

= 10201

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Answer 2

Answer:

$(101)^2=10201$

Step-by-step explanation:

Given : Number 101

To find : The square of 101 using Distributive law?

Solution :

Follow the steps to get the result

Step 1- Write the square of 101 in the form:

$(101)^2=101\times 101$

Step 2- Re-write the 101 as 100+1

$=101\times (100+1)$

Step 3- Apply distributive property $a(b+c)=ab+ac$

$101\times (100+1)=101\times 100+101\times 1$

Step 4- Solve

$=10100+101$

$=10201$

Therefore, $(101)^2=10201$