Problem 79 In the following exercises, add.... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 79

In the following exercises, add. $$(a) 0+13 \quad \text { (b) } 13+0$$

Short Answer

Expert verified

Both (a) and (b) are equal to 13.

Step by step solution

Understand the Problem

We are asked to add two numbers in two separate problems. The first problem is to add 0 and 13, and the second problem is to add 13 and 0.

Step 2a: Add 0 and 13

Using the commutative property of addition, adding zero to any number leaves the number unchanged. So, calculate as follows: $ 0 + 13 = 13 $

Step 2b: Add 13 and 0

Similarly here, adding zero to any number leaves the number unchanged. So, calculate as follows: $ 13 + 0 = 13 $

Conclude both results

Both additions result in the same answer using the commutative property. Thus, both sums are 13.

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Key Concepts

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

Commutative Property of Addition

The commutative property of addition states that the order in which you add numbers does not change the sum. This means that if you swap the numbers, the result will be the same. For example, if you have two numbers, 5 and 3, you can add them as follows: $ 5 + 3 = 8 $ or $ 3 + 5 = 8 $. The commutative property is very helpful in simplifying math problems. With this property, you can rearrange numbers for easier computation. This is exactly what we see in our exercise: $ 0 + 13 = 13 $ and $ 13 + 0 = 13 $. Regardless of the order, the result is 13.

Basic Arithmetic

Basic arithmetic is the foundation of math. It includes the simple operations of addition, subtraction, multiplication, and division. In our exercise, we focus on addition. Addition means combining the values of two or more numbers to get a total. For example: $ 2 + 3 = 5 $. Addition is a fundamental skill needed for more complex math topics. Here, our exercise asked us to add $0 + 13 $ and $13 + 0 $. This showcases simple addition without carrying or complex steps.

Addition with Zero

Adding zero to any number is a special case in arithmetic. Zero is known as the 'additive identity' because it does not change the value of the number it is added to. In terms of a formula, $a + 0 = a $ and $0 + a = a $, where $a$ can be any number. Our exercise demonstrates this with $0 + 13 = 13 $ and $13 + 0 = 13 $. The zero has no effect on the total, making it straightforward to calculate.

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91影视

In the following exercises, add. $$(a) 0+13 \quad \text { (b) } 13+0$$

Short Answer

Step by step solution

Understand the Problem

Step 2a: Add 0 and 13

Step 2b: Add 13 and 0

Conclude both results

Key Concepts

Commutative Property of Addition

Basic Arithmetic

Addition with Zero

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