50 + (15 × 15), 50 + 15 × 50 + 15, (10 × 5) + 225, 10 × 225 + 5 × 225
Solution:
Given expression is 50 + 225.
To find the equivalent expressions for 50 + 225.
(1) 225 can be written as 15 × 15.
⇒ 50 + 225 = 50 + (15 × 15)
(2) Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ 50 + (15 × 15) = 50 + 15 × 50 + 15
(3) Now, 50 can be written as 10 × 5.
⇒ 50 + 225 = (10 × 5) + 225
(4 Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ (10 × 5) + 225 = 10 × 225 + 5 × 225
Hence the equivalent expressions for 50 + 225 are:
50 + (15 × 15)
50 + 15 × 50 + 15
(10 × 5) + 225
10 × 225 + 5 × 225
The product would end up being less than that because you are basically dividing by 2.
