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Chapter 1: Problem 61

Find each difference. $$ 7-(-3) $$

Short Answer

Expert verified
10

Step by step solution

01

- Recognize the Signs

First, observe that the expression involves a subtraction of a negative number: 7 - (-3).
02

- Convert the Double Negative

When you subtract a negative number, it is equivalent to adding a positive number. So, 7 - (-3) becomes 7 + 3.
03

- Perform the Addition

Now, simply add the numbers: 7 + 3 = 10.

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Key Concepts

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

double negative
When you see two negative signs together, like in 7 - (-3), this is referred to as a 'double negative.'
It might sound complicated, but it鈥檚 pretty straightforward.
In math, subtracting a negative number is the same as adding its positive counterpart.
Think of it this way: if you owe someone a debt, and your debt gets canceled, you're effectively gaining money.
So, 7 - (-3) basically changes into 7 + 3.
This rule helps avoid confusion and makes your calculations easier.
addition
Adding numbers is one of the most basic arithmetic operations.
Once you've converted 7 - (-3) into 7 + 3, you simply add the two numbers together.
This is very straightforward: start from 7 and move 3 steps forward.
For example, you can count up: 7, 8, 9, 10.
So, 7 + 3 equals 10.
Adding positive numbers increases the total, making it larger.
Practicing simple addition regularly can help you get faster and more accurate.
basic arithmetic operations
Arithmetic operations include addition, subtraction, multiplication, and division.
These are the building blocks of math.
For basic operations:
  • Addition involves combining quantities: 5 + 4 = 9.

  • Subtraction involves taking one quantity away from another: 8 - 2 = 6.

  • Multiplication involves repeated addition: 4 x 3 means adding 4 three times, giving 12.

  • Division involves splitting a number into equal parts: 12 梅 3 means splitting 12 into 3 equal parts, resulting in 4.
Knowing the rules and relationships between these operations is essential.
These skills are used in both simple and complex math problems.

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Most popular questions from this chapter

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