Question

(1)
0.2
5
2. If a, b, care real numbers, then which one of the following shows associative property w.r...
addition?
a, b, c లు వాస్తవ సంఖ్యలైన ఈ క్రింది వానిలో ఏది సంకలనం దృష్ట్యా సహచర ధర్మాన్ని సూచిస్తుంది?
(21 a+ (b+c)= (a+by+c​

Answer 1

Answer:

Associative, Commutative, and Distributive Properties

Learning Objective(s)

· Identify and use the commutative properties for addition and multiplication.

· Identify and use the associative properties for addition and multiplication.

· Identify and use the distributive property.

Introduction

There are many times in algebra when you need to simplify an expression. The properties of real numbers provide tools to help you take a complicated expression and simplify it.

The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.

The Commutative Properties of Addition and Multiplication

You may encounter daily routines in which the order of tasks can be switched without changing the outcome. For example, think of pouring a cup of coffee in the morning. You would end up with the same tasty cup of coffee whether you added the ingredients in either of the following ways:

· Pour 12 ounces of coffee into mug, then add splash of milk.

· Add a splash of milk to mug, then add 12 ounces of coffee.

The order that you add ingredients does not matter. In the same way, it does not matter whether you put on your left shoe or right shoe first before heading out to work. As long as you are wearing both shoes when you leave your house, you are on the right track!

In mathematics, we say that these situations are commutative—the outcome will be the same (the coffee is prepared to your liking; you leave the house with both shoes on) no matter the order in which the tasks are done.

Likewise, the commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum. For example, 30 + 25 has the same sum as 25 + 30.

30 + 25 = 55

25 + 30 = 55

Multiplication behaves in a similar way. The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. For example, 7 · 12 has the same product as 12 · 7.