Question

Solve using identities : (5.1×5.2)

Answer 1

Answer:

26.52

Step-by-step explanation:

5.1 *5.2

5.1=(5+0.1)

5.2=(5+0.2)

(5.1)*(5.2) can be written as

(5 + 0.1) * (5+0.2) which is in the form of (x+a) *(x+b) = x²+(a+b)x+ab

Here x=5

a=0.1

b=0.2

Substituting we get

5²+(0.1+0.2)*5+0.1*0.2

=25+0.3*5+0.02

=25+1.5+0.02

= 26.52

Answer 2

$\bf \red{5.1 \times 5.2 = 26.52}$

Given:

• $(5.1 \times 5.2)$

To find:

• Solve using Identity.

Solution:

Identity to be used:

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

Step 1:

Rewrite the given terms so that identity can be used.

$(5.1 \times 5.2) = (5 + 0.1) \times (5 + 0.2)$

Step 2:

It is clear that

$x = 5$

$a = 0.1$

and

$b = 0.2$

Apply the identity.

$(5 + 0.1)(5 + 0.2) = ( {5)}^{2} + (0.1 + 0.2)5 + (0.1)(0.2)$

or

$(5 + 0.1)(5 + 0.2) = 25 + (0.3)5 + 0.02$

or

$(5 + 0.1)(5 + 0.2) = 25 + 1.5 + 0.02$

or

$(5 + 0.1)(5 + 0.2) = 26.52$

Thus,

$\bf 5.1 \times 5.2 = 26.52$

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