Mathematics

Grade6

Easy

Question

# The property used to simplify expressions is

- Commutative
- Associative
- Distributive
- All of the above

Hint:

### An expression has multiple operations in it. We have to simplify the equation to get the final value. We use different properties to simplify the expression. In this question, we are asked the properties used to simplify the expression.

## The correct answer is: All of the above

### The three options given in the question are commutative property, associative property, and distributive property.

Let a, b, and c be three variables. Let’s apply the given properties to these variables.

The associative property means that even if we rearrange the brackets, we get the same result.

For instance, a + (b + c) = ( a + b ) + c

We can use this to simplify the expression.

The commutative property means that changing the order of operations undergoing the same operation doesn’t change the results.

For instance, a + b = b + a

We can use this to simplify the expression.

Distributive property means the quantity outside the bracket, or in other words, quantity in multiplication with bracket is equally distributed to the terms inside the bracket.

For instance, a( b + c ) = ab + ac

We can this to simplify the expression.

So all three properties help in simplification of an expression.

So option which is ‘ all of the above’, is the right option.

We should know different properties required for algebraic expression. They are used to simplify the equation at most places.