# How can the distributive property be used to write equivalent expressions?

## How can the distributive property be used to write equivalent expressions?

For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

## What property or properties were used to prove that the expressions are equivalent?

Students use the commutative and associative properties to recognize structure within expressions and to prove equivalency of expressions.

What properties can be used to write an equivalent system?

WRITING EQUIVALENT EXPRESSIONS USING PROPERTIES

• Commutative Property of Addition : When adding, changing the order of the numbers does not change the sum.
• Commutative Property of Multiplication :
• Associative Property of Addition :
• Associative Property of Multiplication :
• Distributive Property :

### How does the distributive property apply to chemical formulas?

Two sums can be multiplied together by multiple applications of the distributive property. The result is a summing up of products of each element from the first sum by each element of the second. Ex: (a+b)(x+y+z) = (a+b)x + (a+b)y + (a+b)z = ax + bx + ay + by + az + bz.

### When determining if two expressions are equivalent which properties of operations might be useful?

This means that the distributive property can be used to write an equivalent expression that is a product of 9 and a sum. This is called factoring. First, write each term in the expression as a multiple of 9….

Common Core Standards Equivalent Expressions
Standard: MA.6.AR.1.4

Do you use the distributive property?

You can use the distributive property of multiplication to rewrite expression by distributing or breaking down a factor as a sum or difference of two numbers. Here, for instance, calculating 8 × 27 can made easier by breaking down 27 as 20 + 7 or 30 − 3.

#### How to use distributive property in maths?

The procedure to use the distributive property calculator is as follows: Step 1: Enter an expression of the form a (b+c) in the input field Step 2: Now click the button “Submit” to get the simplified expression Step 3: Finally, the simplification of the given expression will be displayed in a new window. Distributive Property in Maths

#### How are properties used to identify equivalent expressions?

The same properties of operations can be used to identify equivalent expressions. 1. Commutative Property of Addition : When adding, changing the order of the numbers does not change the sum. 2. Commutative Property of Multiplication : When multiplying, changing the order of the numbers does not change the product.

Which is not a commutative property of subtraction?

Just as subtraction is not commutative, neither is division commutative. 4 ÷ 2 does not have the same quotient as 2 ÷ 4. Write the expression (−15.5) + 35.5 in a different way, using the commutative property of addition, and show that both expressions result in the same answer. Adding.

## How to write an expression equivalent to another?

There are some properties of operations which we can use to write an expression equivalent to another expression. The same properties of operations can be used to identify equivalent expressions. 1. Commutative Property of Addition : When adding, changing the order of the numbers does not change the sum.