Compute the value of 16 1-4 2-

(16 1/4 )^2 can be written as (16 1/4 ) ×(16 1/4 ) = (16 + 1/4 ) ×(16 + 1/4 ) = 16 × 16 + 16 ×1/4 + 1/4× 16 + 1/4×1/4 = 256 + 4 + 4 + 1/16 = 264 1/16 ...

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Byju's Answer

Standard VIII

Mathematics

Multiplication of Binomials

Compute the v...

Question

Compute the value of ${(16 \frac{1}{4})}^{2}$ .

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Solution

${(16 \frac{1}{4})}^{2}$ can be written as

$(16 \frac{1}{4}) \times (16 \frac{1}{4})$

$= (16 + \frac{1}{4}) \times (16 + \frac{1}{4})$

$= 16 \times 16 + 16 \times \frac{1}{4} + \frac{1}{4} \times 16 + \frac{1}{4} \times \frac{1}{4}$

$= 256 + 4 + 4 + \frac{1}{16}$

$= 264 \frac{1}{16}$

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Compute the value of (1614)2.

(1614)2 can be written as (1614)×(1614) =(16+14)×(16+14) =16×16+16×14+14×16+14×14 =256+4+4+116 =264116

Compute the value of ${(16 \frac{1}{4})}^{2}$ .

${(16 \frac{1}{4})}^{2}$ can be written as

$(16 \frac{1}{4}) \times (16 \frac{1}{4})$

$= (16 + \frac{1}{4}) \times (16 + \frac{1}{4})$

$= 16 \times 16 + 16 \times \frac{1}{4} + \frac{1}{4} \times 16 + \frac{1}{4} \times \frac{1}{4}$

$= 256 + 4 + 4 + \frac{1}{16}$

$= 264 \frac{1}{16}$