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Chapter 10: Problem 21

Subtract. $$ -4-(-9) $$

Short Answer

Expert verified
5

Step by step solution

01

Identify the expression

The expression to solve is -4 - (-9).
02

Understand the negative sign

When subtracting a negative number, it is equivalent to adding the positive of that number. So, -4 - (-9) is the same as -4 + 9.
03

Perform the addition

Add -4 and 9 together. to get 5.

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Key Concepts

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

negative numbers
Negative numbers are numbers that are less than zero. They are represented with a minus sign (-) in front of them. For example, -4 is a negative number.
Negative numbers can be found on the left side of a number line, opposite to the positive numbers.
Understanding negative numbers is crucial for performing operations like addition and subtraction involving them.
Let's look at an example:
-4 means you have moved 4 units to the left of zero on the number line.
subtraction rules
Subtraction has specific rules, especially when dealing with negative numbers. Knowing these rules helps avoid common mistakes.
Here is a key rule when dealing with subtraction and negative numbers:
  • Subtracting a negative number is the same as adding its positive counterpart.
Let's go through our example step-by-step:
-4 - (-9):
The expression -4 - (-9) involves two negatives. Using the rule, we change the subtraction of a negative to addition of a positive: -4 - (-9) becomes -4 + 9.
From here, it becomes a simple addition problem.
addition of integers
Adding integers, including negative ones, follows straightforward rules.
  • When adding a positive number to a negative number, you subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value.
Using our example: -4 + 9
First, find the absolute values: 4 and 9.
Since 9 has the larger absolute value, we subtract 4 from 9 to get 5. Because 9 is the positive number, the result is positive. So, -4 + 9 = 5.
By following these rules, you can tackle any integer addition problem with confidence.

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Most popular questions from this chapter

Simplify. $$ 9 \div(-3)+16 \div 8 $$

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