Problem 81 Add or subtract and reduce to lo... [FREE SOLUTION]

91影视

Elementary Algebra

John Redden

$Math Studyset 91影视 Explanations$ Math

2011 Edition

Chapter 1: Problem 81

Add or subtract and reduce to lowest terms. $$ 12+13 $$

Short Answer

Expert verified

The sum is 25.

Step by step solution

Understand the Operation

In this exercise, we need to perform an addition operation. We have two numbers: 12 and 13, which are whole numbers.

Add the Numbers

To add two numbers, simply combine them. The operation is 12 + 13. This gives us the result: \[ 12 + 13 = 25 \]

Reduce to Lowest Terms

Since 25 is a whole number and not a fraction, it is already in its lowest terms. Thus, no further action is needed.

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Key Concepts

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

Understanding Addition

Addition is one of the basic arithmetic operations, which involves combining two or more numbers to get a total sum. The process of addition helps us find how much we have when we put things together.
Here, we simply add 12 and 13. This operation is straightforward:

Write down the two numbers you want to add, aligning them by their place values if needed.
Add the numbers starting from the rightmost digit (the units place) and move to the left.
In this case, 12 and 13 are added as their whole values.

Each number contributes its value to the final sum, resulting in 25.

What are Whole Numbers?

Whole numbers are a set of numbers that include all natural numbers and zero. They do not include fractions, decimals, or negative numbers.
This set of numbers starts from zero and extends indefinitely in a positive direction.
Some key points about whole numbers:

They are non-negative. Meaning they start from 0, 1, 2, 3, and so forth.
They do not include any fractions or decimal parts. Each number is a complete unit.
In arithmetic operations like addition, subtraction, multiplication, and division, the result is typically another whole number, provided you are not involving division by zero or producing a number with a remainder.

In the exercise, both 12 and 13 are whole numbers, and their sum, 25, is also a whole number.

Reducing to Lowest Terms

To 'reduce to lowest terms' generally refers to making a fraction as simple as possible by dividing both the numerator and the denominator by their greatest common divisor (GCD).
However, when we are dealing with whole numbers, reducing to lowest terms usually means seeing if the number can be expressed more simply.
Some important points:

Whole numbers are themselves in their simplest form because they are integers without any fractional parts.
If a whole number appears as the result of arithmetic operations, there鈥檚 typically nothing more to simplify.
In this case, the sum 25 is already a whole number and cannot be reduced further, making it inherently in its lowest terms.

This exercise highlights that when you have a whole number result, 'reducing to lowest terms' confirms that no further simplification is needed.

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91影视

Add or subtract and reduce to lowest terms. $$ 12+13 $$

Short Answer

Step by step solution

Understand the Operation

Add the Numbers

Reduce to Lowest Terms

Key Concepts

Understanding Addition

What are Whole Numbers?

Reducing to Lowest Terms

One App. One Place for Learning.

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