Question

УПРОСТИТЕ ВЫРАЖЕНИЕ ИСПОЛЬЗУЯ ПЕРЕМЕСТИТЕЛЬНОЕ И СОЧЕТАТЕЛЬНОЕ СВОЙСТВА СЛОЖЕНИЕ (9+а)+11

Answer 1

(9+а)+11=9+11+а=20+а

Answer 2

Simplifying the Expression Using Commutative and Associative Properties of Addition and Multiplication

To simplify the expression (9a) + 11, we can use the commutative and associative properties of addition and multiplication.

First, let's simplify the expression step by step:

1. Apply the Distributive Property: - (9a) + 11 can be written as 9a + 11.

2. Rearrange the Terms Using the Commutative Property of Addition: - We can rearrange the terms as 11 + 9a.

3. Final Simplification Using the Commutative and Associative Properties of Multiplication: - The expression 11 + 9a can be further simplified using the commutative and associative properties of multiplication.

- According to the commutative property of addition, the order of the terms can be changed without affecting the sum. Therefore, 11 + 9a is equivalent to 9a + 11.

- According to the associative property of multiplication, the grouping of factors can be changed without affecting the product. Therefore, 9a + 11 is equivalent to (9a) + 11.

- So, the final simplified expression is (9a) + 11.

This demonstrates the application of the commutative and associative properties of addition and multiplication to simplify the given expression.