Question

Add the following in three ways. Indicate the property used.
(a) 25+ 36 + 15​

Answer 1

Step-by-step explanation:

25 + 36 + 15 = 76

36 + 25 +15 = 76

15 + 36 + 25 = 76

Answer 2

Given Data: 25 + 36 + 15.

To Find: The property used.

Solution:

• There can be 3 properties used they are Associate Property, Distributive Property, Commutative Property.
• All these properties have addition and multiplication formula's.
• In Distributive Property we use multiplication to find the sum.
• The Purpose of using properties is the sum will be same but the method will be different.

• With the given data, consider a = 25, b = 36, c = 15.

• Associate Property for addition - $(a + b) + c = a + (b + c).$

• $(25+36)+15 =25+(36+15)$    ; which results in 76.
• Commutative Property with addition -  $a + b = b + a.$
• Adding first 2 numbers or last 2 numbers is equal to the same result.
• $61 + 15 = 25 + 51$  ;   result is 76.
• Distributive Property with addition -  $a(b + c) = ab + ac.$

• $25(36+15) = 25(36)+ 25 ( 15)$    ;   The result is same as LHS and RHS, 1275.