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Use the number line to complete: \(-2-5=?\)

Short Answer

Expert verified
\(-2 - 5 = -7\)

Step by step solution

01

Start at -2 on the number line

Begin at the position -2 on the number line. Since we're subtracting 5, we'll move 5 units to the left as is the standard operation to perform during subtraction.
02

Move to the left

As we move 5 units left from -2, our position on the number line after moving 1 unit is -3, after moving 2 units is -4, after moving 3 units is -5, after moving 4 units is -6 and after moving 5 units is -7.
03

Identify the final position

We have successfully moved 5 units to the left from -2, we landed on -7. This would give us the result of the subtraction, -7.

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Key Concepts

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

Understanding the Number Line
The number line is a visual representation of numbers placed in a linear sequence. It helps us easily understand mathematical operations like addition and subtraction, especially involving integers.
- **Positive numbers** are located to the right of zero. - **Negative numbers** are to the left of zero. Every number is equally spaced from its neighbors, making it a very intuitive tool. For the exercise, we start at the position ",-2" on the number line, which is to the left of zero.
Using the number line, subtraction involves moving towards the left. This direction has a clear association—moving left means reducing the value. Remembering the leftward movement can help visualize how subtraction works, particularly with negative numbers.
Basics of Subtraction
Subtraction is a fundamental mathematical operation that involves taking away a number from another. In our given exercise, "-2-5", the subtraction of five from ",-2" uses a number line to move you in the leftward direction. When you subtract a positive number on a number line, it reflects moving left by that many units.
For instance, subtracting 5 from ",-2" requires moving left five units: - Start at ",-2" - Move past "-3, -4, -5, -6" and finally reach "-7." This "moving 5 units left" helps simplify this operation visually. The complete movement helps to understand that the answer to ",-2-5" is "-7." Practice with the number line can make subtraction with integers more intuitive and less intimidating.
Working with Negative Numbers
Negative numbers can be confusing at first, but they play a crucial role in mathematical operations. Negative numbers are those less than zero, and they have distinct characteristics: - Represent losses or decreases - Situated to the left of zero on the number line Understanding negative numbers becomes necessary, especially when learning subtraction.
In integer operations, "-5" is seen as moving 5 units left. For example, when starting from ",-2," subtracting "5" involves relocation 5 units leftwards on the number line. Each negative step takes you further left, deepening the negative value.
By treating negative numbers with familiarity and using them confidently on a number line, mathematical operations become clearer, empowering you to handle more complex equations in the future.

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