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Chapter 2: Problem 5

Now solve these same subtraction problems. $$ 0-(-4) $$

Short Answer

Expert verified
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Step by step solution

01

Understand the problem

The exercise asks to solve the subtraction problem: \( 0 - (-4) \).
02

Recognize the double negative

Notice the subtraction of a negative number. Subtracting a negative number is the same as adding its positive. Therefore, \( 0 - (-4) \) is equivalent to \( 0 + 4 \).
03

Perform the addition

Add the numbers: \( 0 + 4 = 4 \).
04

State the result

The result of the subtraction problem \( 0 - (-4) \) is 4.

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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 a double negative in a mathematical problem, it can look confusing at first, but it actually simplifies the process. A 'double negative' occurs when you subtract a negative number. Think about how in natural language, two negatives can make a positive (e.g., 'I am not unhappy' means 'I am happy').
In math, this concept is similar. For example, in the problem 0 - (-4), you've got a 'minus' and a 'negative.'
Here's a fun trick to remember: whenever you see two minus signs together, they cancel out to become a plus. So, 0 - (-4) becomes 0 + 4, and that makes it much easier to solve.
Addition
Addition is one of the basic arithmetic operations. It combines two numbers into a larger one. When dealing with the double negative concept, after converting subtraction into addition, it becomes straightforward.
In the equation 0 - (-4), you've turned it into 0 + 4. Next, perform the addition.
Start at 0 and count up by 4. So, 0 + 4 equals 4.
If you understand that subtraction of a negative number is the same as addition, solving these problems becomes a piece of cake!
Integer Subtraction
Integer subtraction involves taking one number away from another.
It can get tricky when dealing with negative numbers because the rules are a bit different compared to positive numbers.
In our example, 0 - (-4), subtracting a negative number means you are actually adding the absolute value of that number.
Why? Because subtracting something bad (a negative) is like gaining something good (a positive)!
So, 0 - (-4) is the same as 0 + 4.
  • If both numbers are positive, simply subtract the smaller number from the larger one.
  • If subtracting a negative number, convert it to addition.
  • Keep practicing with different integers to get more comfortable.

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Most popular questions from this chapter

Solve these division problems. $$ 5 \div 5 $$

Solve the following addition problems. $$ 5+2 $$

See if you can figure out the sign of the correct answer to each problem. Then circle the letter next to the correct answer and spell a phrase. $$ (-6)-(-8)=(-) R \text { or }(+) I $$

Solve the following multiplication problems. $$ 5 \cdot 0 $$

Solve the following addition problems. $$ (+4)+(-4) $$
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