Using an identity- evaluate 166 - 94-

To evaluate 166 × 94: Let's find the average of 166 and 94, which is given by =166+94/2 = nbsp;130 nbsp; nbsp;(0.5 nbsp;marks) Hence, 166 × 94 can b ...

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Standard VIII

Mathematics

Multiplication of Binomials

Using an iden...

Question

$Using an identity, evaluate 166 \times 94.$

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Solution

To evaluate $166 \times 94$ :

Let's find the average of 166 and 94, which is given by
$= \frac{166 + 94}{2} = 130$ (0.5 marks)

$Hence, 166 \times 94 can be written as$
$(130 + 36) (130 - 36) .$ (0.5 marks)

By applying the identity $(a + b) (a - b) = a^{2} - b^{2},$

$166 \times 94 = (130 + 36) (130 - 36)$
$= 130^{2} - 36^{2} = 16900 - 1296 = 15604$
(1 mark)

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Evaluate: $(i) 69 \times 71$ , (ii) $94 \times 106$ .

Using an identity, evaluate 166 \times 94.

[2 M a r k s]

$Using an identity, evaluate 166 \times 94.$

Q. The simplified value of

166 \times 94

is .

Evaluate

$87 - (- 100) - (- 5) - 94$

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Using an identity, evaluate 166×94.

To evaluate 166× 94: Let's find the average of 166 and 94, which is given by =166+942=130 (0.5 marks) Hence, 166× 94 can be written as (130+36)(130−36). (0.5 marks) By applying the identity (a+b)(a−b)=a2−b2, 166×94=(130+36)(130−36) =1302−362=16900−1296=15604 (1 mark)

$Using an identity, evaluate 166 \times 94.$