Question

Find the sum of 2020 and additive identity.which property that 25+(-10)+25 represent? give reasons​
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Answer 1

Given:

• 2020
• 25+(-10)+25

To find:

• We need to find the sum of 2020 and additive identity
• Also, we should find which property that 25+(-10)+25 represent

Solution:

First, we will find the sum of 2020 and additive identity.

Before solving, we should know the meaning of additive identity.

Additive identity: The additive identity states that when a number is added with zero, it gives the same number.

Example: $1+0=1$

Here, “Zero” is called the additive identity.

So, the sum of 2020 and additive identity is

$\Rightarrow2020+0$

$\Rightarrow2020$

Therefore, the sum of 2020 and additive identity is 2020.

Now, we will solve second part of the question.

We should find the property involved in 25+(-10)+25.

Here, 25+(-10)+25 can be written as

$\Rightarrow25+25+(-10)$

So, we are applying commutative property here.

The commutative property states that the numbers can be swapped from their positions without making any change in answer when we add or multiply numbers.

Example: $a+b=b+a$

Now,

$\Rightarrow50+(-10)$

$\Rightarrow50-10$

$\Rightarrow40$

Therefore, 25+(-10)+25 represents commutative property.