Using an identity- evaluate 166 - 94-2 Marks-

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

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Distributive Property of Multiplication

Using an iden...

Question

$Using an identity, evaluate 166 \times 94.$
$[2 M a r k s]$

Open in App

Solution

To evaluate $166 \times 94$ :

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

$Hence, 166 \times 94 can be written as$
$(130 + 36) (130 - 36) .$
$[1 M a r k]$

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

$166 \times 94 = (130 + 36) (130 - 36)$
$= 130^{2} - 36^{2} = 16900 - 1296 = 15604$ $[1 M a r k]$

Suggest Corrections

Similar questions

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

Using an identity, evaluate 166 \times 94.

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

Q. The simplified value of

166 \times 94

is .

Evaluate

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

Join BYJU'S Learning Program

Using an identity, evaluate 166×94. [2 Marks]

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

$Using an identity, evaluate 166 \times 94.$
$[2 M a r k s]$