Problem 76 Subtract. $$ 18-63 $$... [FREE SOLUTION]

Chapter 1: Problem 76

Subtract. $$ 18-63 $$

Short Answer

Expert verified

-45

Step by step solution

Understand the problem

The problem requires subtracting 63 from 18, which involves dealing with negative results because the number being subtracted is larger than the number we start with.

Perform the subtraction

Subtract 63 from 18. This can be written as: \[ 18 - 63 = -45 \]

Verify the result

Double-check the subtraction: Adding 45 to -45 should give 0. So, \[ -45 + 63 = 18 \]. Therefore, the result is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Negative Numbers

When performing subtraction in algebra, it's essential to understand negative numbers. A negative number is a number that is less than zero, and it's often represented with a minus sign (鈭�).
In our example, we are subtracting a larger number (63) from a smaller number (18). This process will result in a negative number because the outcome falls below zero. Let's visualize the concept a bit more:

If you owe someone $5 (think of this as negative 5), and you pay them $5, your balance will be zero.
Similarly, if you have 18 units and need to subtract 63 units, you end up with a deficit (or negative balance) of 45 units.

Basic Arithmetic

Basic arithmetic involves simple operations like addition, subtraction, multiplication, and division. To solve our current problem, we need to focus on subtraction. Here鈥檚 a deeper dive:

Subtraction can be thought of as removing or taking away one value from another.
When we subtract a larger number from a smaller one, the result is negative, as seen in our problem.

Now, let's reframe our exercise:
Given: 18 - 63
Converting this to addition of the opposite, it looks like this:
18 + (-63)
This confirms that we perform subtraction, ending with (-45).

Practically, if you think of the number line, this subtraction tells us how far 18 is from 63 in the negative direction.

Verification of Results

Verifying your results is crucial in mathematics. It ensures that the operation performed is correct. For our problem, we can verify the subtraction by performing the reverse operation.

If we subtract 63 from 18 and get -45, the way to check is to add 45 to our result, which should bring us back to our original number:

Let's see this step-by-step:
We have: (-45)
Now add:
45
This equals: 0
Therefore:
-45 + 63 = 18,
Which matches our initial subtraction operation, confirming it is correct.
It's always a good habit to double-check your results to build confidence in your answers.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Subtract. $$ 18-63 $$

Short Answer

Step by step solution

Understand the problem

Perform the subtraction

Verify the result

Key Concepts

Negative Numbers

Basic Arithmetic

Verification of Results

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Theoretical and Mathematical Physics

Applied Mathematics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.