Problem 11 Add and subtract. $$ -1-2-3-... [FREE SOLUTION]

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Elementary Algebra

John Redden

$Math Studyset 91影视 Explanations$ Math

2011 Edition

Chapter 1: Problem 11

Add and subtract. $$ -1-2-3-4 $$

Short Answer

Expert verified

The result is -10.

Step by step solution

Simplify the Expression

Look at the expression $-1 - 2 - 3 - 4$.Notice that each term involves subtraction which simplifies the calculation order. You can address each operation sequentially from left to right since all are subtraction operations.

First Subtraction

Start with the first two terms:$-1 - 2 = -3$.This gives us:$-3 - 3 - 4$.

Second Subtraction

Continue with the new expression:$-3 - 3 = -6$.This simplifies to:$-6 - 4$.

Final Subtraction

Perform the last subtraction:$-6 - 4 = -10$.This results in the final expression value.

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Key Concepts

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

Understanding Subtraction

Subtraction is one of the fundamental arithmetic operations, usually involving two numbers where one is taken away from the other. In the expression $-1 - 2 - 3 - 4$, several subtractions occur in sequence. Let's break it down further:

The first term is $-1$. We subtract $2$ from it to start simplifying the expression.
This sequence continues, subtracting each subsequent number from the result of the previous operation.

Subtraction can also be seen as adding a negative. For example, subtracting 2 is the same as adding $-2$. Utilizing this understanding can make calculations with negative numbers easier and more intuitive.

Working with Negative Numbers

Negative numbers can sometimes be tricky, but they follow straightforward rules. In this exercise:

You start with $-1$, already a negative number, and subtract $2$.
This results in an even more negative number: $-3$.

When dealing with negative numbers, remember:

Subtracting a positive number makes the result more negative.
Subtracting a negative can make a number less negative or positive.

Visualizing a number line can help. Imagine moving left when subtracting positive numbers to understand how results become more negative.

Step-by-Step Solutions Explained

Breaking down problems step-by-step helps in understanding and solving them efficiently. Here鈥檚 a clearer look at the process used in the problem:

Step 1: Begin with the first subtraction, $-1 - 2$, resulting in $-3$.
Step 2: Use the result, $-3$, and subtract the next number, $-3 - 3$, to get $-6$.
Step 3: Apply the last subtraction, $-6 - 4$, which simplifies the expression to $-10$.

This methodical approach ensures you don't miss any steps, reducing errors in calculations, especially when dealing with negative numbers.

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91影视

Add and subtract. $$ -1-2-3-4 $$

Short Answer

Step by step solution

Simplify the Expression

First Subtraction

Second Subtraction

Final Subtraction

Key Concepts

Understanding Subtraction

Working with Negative Numbers

Step-by-Step Solutions Explained

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