Problem 306 In the following exercises, simp... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 306

In the following exercises, simplify. $$947+0$$

Short Answer

Expert verified

947

Step by step solution

Identify the expression

The given expression is 947 + 0.

Apply the Identity Property of Addition

The identity property of addition states that any number plus zero remains that number. So, apply this property here.

Simplify the expression

Since adding zero does not change the value of 947, the expression simplifies to 947.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

identity property of addition

The identity property of addition is a fundamental rule in mathematics. This property states that adding zero to any number does not change the value of that number. In other words, for any number 'a', the equation is: a + 0 = a
In this context, zero is known as the 'additive identity' because it keeps the number identical to its original value after the addition process. This property helps simplify expressions and perform calculations quickly. For example, in the equation provided in the exercise, it is given as:947 + 0 = 947The identity property makes it clear that the result is the same as the number itself.

basic arithmetic

Basic arithmetic covers the fundamental operations of mathematics: addition, subtraction, multiplication, and division. Addition is one of these core operations, and it involves combining two or more numbers to find their total.In the simplified expression 947 + 0, we used basic addition where 0 is the second term. Since 0 is the 'additive identity,' it does not alter the first number, which applies the simplest form of arithmetic operation resulting in 947. Understanding this principle makes it easier to handle more complex calculations and recognize patterns in math problems.

mathematical properties

Mathematical properties like the identity property of addition are rules that always hold true for particular operations. These properties include:

Commutative Property: a + b = b + a
Associative Property: (a + b) + c = a + (b + c)
Distributive Property: a(b + c) = ab + ac
Identity Property: a + 0 = a

These properties help us simplify and solve equations more easily by providing predictable patterns for number operations. By using the identity property in the exercise, we observe that it simplifies the problem efficiently without complex calculations. Understanding and applying these properties is essential in mastering mathematics.

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91影视

In the following exercises, simplify. $$947+0$$

Short Answer

Step by step solution

Identify the expression

Apply the Identity Property of Addition

Simplify the expression

Key Concepts

identity property of addition

basic arithmetic

mathematical properties

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