Question

Multiply 5.05 and 47.84 using distributive property of multiplication over addition.

Answer 1

Step-by-step explanation:

(5.05 x 47.83 )+5.05 + 1 =

247.5915

Answer 2

SOLUTION

TO DETERMINE

Multiply 5.05 and 47.84 using distributive property of multiplication over addition.

FORMULA TO BE IMPLEMENTED

Distributive property of multiplication over addition :

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

Here the given two numbers are 5.05 and 47.84

We multiply using distributive property of multiplication over addition as below

$\sf 5.05 \times 47.84$

$\sf = (5 + 0.05) \times (47 + 0.84)$

$\sf = 5 \times (47 + 0.84) + 0.05 \times (47 + 0.84)$

$\sf = (5 \times 47 +5 \times 0.84) + (0.05 \times 47 +0.05 \times 0.84)$

$\sf = 235 + 4.20 + 2.35 + 0.042$

$\sf = 241.592$

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