Find the value of 9-7 - 9-8 using a suitable algebraic identity-

The correct option is A 95.069.7 × 9.8 can be written as nbsp;(9 + 0.7)( 9 + 0.8). We know, nbsp; (x+a)(x+b) =x^2 + (a+b)x+ab nbsp; ∴ 9.7 × 9.8 =(9 + ...

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Byju's Answer

Standard VIII

Mathematics

Deducing Formula for (x+y)^2

Find the valu...

Question

Find the value of $9.7 \times 9.8$ using a suitable algebraic identity.

95.06

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96.42

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94.56

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95.26

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Solution

The correct option is A 95.06
$9.7 \times 9.8$ can be written as $(9 + 0.7) (9 + 0.8)$ .

We know,
$(x + a) (x + b)$ $= x^{2} + (a + b) x + a b$

$∴ 9.7 \times 9.8 = (9 + 0.7) (9 + 0.8) = (9)^{2} + (0.7 + 0.8) 9 + (0.7) (0.8) = 81 + (1.5) \times 9 + 0.56 = 81 + 13.5 + 0.56 = 95.06$

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Find the value of 9.7×9.8 using a suitable algebraic identity.

The correct option is A 95.06 9.7×9.8 can be written as (9+0.7)(9+0.8). We know, (x+a)(x+b) =x2+(a+b)x+ab ∴ 9.7×9.8=(9+0.7)(9+0.8)=(9)2+(0.7+0.8)9+(0.7)(0.8)=81+(1.5)×9+0.56=81+13.5+0.56=95.06

Find the value of $9.7 \times 9.8$ using a suitable algebraic identity.

The correct option is A 95.06
$9.7 \times 9.8$ can be written as $(9 + 0.7) (9 + 0.8)$ .

We know,
$(x + a) (x + b)$ $= x^{2} + (a + b) x + a b$

$∴ 9.7 \times 9.8 = (9 + 0.7) (9 + 0.8) = (9)^{2} + (0.7 + 0.8) 9 + (0.7) (0.8) = 81 + (1.5) \times 9 + 0.56 = 81 + 13.5 + 0.56 = 95.06$