Question

Equivalent expressions for 50+225

Answer 1

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