Question

Use properties of multiplication to show why 4 x 50 = 8 x 25.

Answer 1

Given:

$4\times 50 =8\times 25$

To find:

The steps to prove the given statement by using the properties of multiplication.

Solution:

We have,

$4\times 50 =8\times 25$

Taking left hand side, we get

$LHS=4\times 50$

$LHS=4\times (2\times 25)$

$LHS=(4\times 2)\times 25$     (Associative property of multiplication)

$LHS=8\times 25$

$LHS=RHS$

Hence proved.