Question

find using identity 5.1×5.2

Answer 1

26.7 is the answer
can you understand now???

Answer 2

$\bf \green{(5 + 0.1)(5 + 0.2) = 26.52}$

Given:

• $5.1 \times 5.2$

To find:

• Find the solution using Identity.

Solution:

Identity to be used:

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

Step 1:

Rewrite the terms of given digits.

As we can write

$5 .1 = 5 + 0.1$

and

$5.2 = 5 + 0.2$

So,

$5.1 \times 5.2 = (5 + 0.1)(5.02)$

Step 2:

Apply identity.

As on comparison with identity it is clear that

$x = 5$

$a = 0.1$

and

$b = 0.2$

Apply 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,

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

Learn more:

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