Using the properties of multiplication to show why
, the first blank is 2, the second blank is 2 and the third is 8.
How did we arrive at this assertion?
Let's use the commutative property of multiplication to show why
:
![\[4 * 50 = 4 * (\underline2 * 25) \]](https://img.qammunity.org/2021/formulas/mathematics/college/ox5i73hrn5lg5c7ynfhr42ebhvumzkleoz.png)
Now, let's use the associative property of multiplication:
![\[= (4 * \underline2) * 25\]](https://img.qammunity.org/2021/formulas/mathematics/college/jd2j0ilywjf8f1vwess8mhnqjnvrggz2m3.png)
Now, calculate the values in the parentheses:
![\[= \underline8 * 25\]](https://img.qammunity.org/2021/formulas/mathematics/college/85s9bgrpw7eb2es50oaq5v0rzff7lwtru6.png)
So,
, demonstrating the equality using the properties of multiplication makes the first blank to be 2, the second blank to be 2 and the third to be 8.