Question

403 x 608 using distributive property?

Answer 1

$\huge\mathbb\blue{\fcolorbox{blue}{pink}{Answer:-}}$

$\huge\colorbox{cyan}{= 486, 824}$

$\huge\mathbb\blue{\fcolorbox{blue}{pink}{Explanation:-}}$

$\huge\tt\pink{==>}$$\tt\red{403×608}$

$\huge\tt\pink{==>}$$\tt\pink{403 × (600+6)}$

$\huge\tt\pink{==>}$$\tt\pink{403×600+403×8}$

$\huge\tt\pink{==>}$241,800+245,024

$\huge\tt\pink{==>}$ $\huge\colorbox{cyan}{= 486,824}$

Answer 2

Answer:

403 x 608 =  245024

Step-by-step explanation:

To find,

403 x 608 using the distributive property.

Recall the property

The distributive property of three numbers is given by

a×(b+c) = a×b+a×c

Solution:

403 x 608 = (400+3)(600+8) = 400 x(600+8) + 3×(600+8)

Applying distributive property on 400 x(600+8) and 3×(600+8) we get,

400 x(600+8) = 400 x600+ 400 ×8 = 240000+3200 = 243200

3×(600+8) = 3×600+3×8 = 1800+24 = 1824

403 x 608 = 400 x(600+8) + 3×(600+8) = 243200 + 1824 = 245024

∴403 x 608 =  245024

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