Problem 91 Write a numerical expression for... [FREE SOLUTION]

91影视

Chapter 1: Problem 91

Write a numerical expression for each phrase and simplify. The sum of \(-5\) and 12 and 6.

Short Answer

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Step by step solution

Identify the Numbers

The numbers to be used are \(-5\), 12, and 6.

Write the Expression

Combine the numbers using addition as stated in the phrase: \(-5 + 12 + 6\)

Simplify the Expression

First, add \(-5\) and 12: \(-5 + 12 = 7\). Then add the result to 6: \(7 + 6 = 13\)

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Key Concepts

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

Addition

Addition is one of the fundamental operations in arithmetic and mathematics. It involves combining two or more numbers to get a single value known as the sum. For example, when we add \( -5 + 12 + 6 \), we are performing the operation of addition. This process can be visualized by combining values on a number line or adding quantities together. Accurate addition is crucial for solving complex mathematical problems and real-life scenarios. With practice, addition becomes easier and faster, forming the backbone for other arithmetic operations like subtraction, multiplication, and division.

Simplification

Simplification in mathematical terms refers to the process of reducing an expression or equation to its most basic form. In the context of numerical expressions, this usually means combining terms to get a single value or a simpler expression.
Let's take the expression from our example: \( -5 + 12 + 6 \). To simplify it:

First, add \( -5 \) and \( 12 \): \( -5 + 12 = 7 \).
Next, take the result and add \( 6 \) to it: \(7 + 6 = 13 \).

By breaking down the operations and doing each step one at a time, you ensure accuracy and make the expression easier to handle. Simplification often involves recognizing like terms and performing basic arithmetic to combine them.

Integer Operations

Integer operations are arithmetic operations involving whole numbers, which include positive numbers, negative numbers, and zero. Understanding how to work with integers is vital for solving various mathematical problems.
When working with addition and subtraction of integers, it is important to consider the signs of the numbers involved. For our example of combining \( -5 \), \( 12 \), and \( 6 \):

Add \( -5 \) and \( 12 \): Since \( -5 \) is negative and \( 12 \) is positive, you're essentially performing a subtraction: \( 12 - 5 = 7 \).
Then, add \( 6 \) to the result \( 7 \): Both numbers are positive, so you simply add them together: \( 7 + 6 = 13 \).

By understanding the basic rules for positive and negative numbers, you can accurately perform integer operations and simplify expressions effectively.

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91影视

Write a numerical expression for each phrase and simplify. The sum of \(-5\) and 12 and 6.

Short Answer

Step by step solution

Identify the Numbers

Write the Expression

Simplify the Expression

Key Concepts

Addition

Simplification

Integer Operations

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