/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 265 Add or subtract. $$ -16.53-2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 265

Add or subtract. $$ -16.53-24.38 $$

Short Answer

Expert verified
The result is -40.91.

Step by step solution

01

- Understand the Problem

The problem requires subtracting 24.38 from -16.53. This is the same as adding -16.53 and -24.38.
02

- Align the Numbers

Write the numbers vertically aligning the decimal points: dshowmethecode``` -16.53 +(-24.38)```
03

- Add the Numbers

Add the numbers as if they are positive: ``` 16.53 +24.38----- 40.91``` Since both numbers were negative, the result is negative. So, the answer is -40.91.

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
Negative numbers are values less than zero. They are usually represented with a minus (-) sign in front of the number. Negative numbers play a crucial role in various mathematical operations such as addition and subtraction.

When dealing with negative numbers, it's important to remember that:
  • A negative number added to a positive number can result in either a positive, negative, or zero, depending on the magnitude.
  • The sum of two negative numbers is always more negative.
  • Negative numbers can be visualized on a number line extending to the left of zero.
Understanding these points will help make operations involving negative integers much clearer.

In our case, for the subtraction operation \(-16.53 - 24.38\), you notice that we effectively add the two negative numbers.
Decimal Subtraction
Subtracting decimal numbers follows the same principles as subtracting whole numbers, but it requires careful alignment of the decimal points.

To subtract decimals:
  • First, write the numbers vertically aligning their decimal points.
  • Add zeroes to make sure both numbers have the same number of decimal places, if necessary.
  • Proceed with the subtraction as you would with whole numbers, maintaining the alignment of the decimal point in your result.
In our specific subtraction problem, \(-16.53 - 24.38\), aligning the numbers vertically allows you to see the proper places:

\[\begin{array}{r} -16.53\ -24.38\end{array}\]

After aligning and understanding that subtracting a bigger positive from a smaller negative equates to adding their magnitudes, we proceed.
Addition of Negative Numbers
Adding negative numbers can initially feel counterintuitive. However, once you understand the concept, it becomes much simpler. Here are some basic rules:
  • The addition of two negative numbers yields another negative number.
  • The magnitude of the result is the sum of the magnitudes of the negative numbers.
  • Essentially, you're moving further left on the number line when you add two negative numbers, making the result more negative.
For our problem, subtracting \(-16.53 - 24.38\) is equivalent to adding the two negative numbers together:

\[ -16.53 + (-24.38) = -40.91\]

Therefore, our final answer is \(-40.91\). Taking a negative and subtracting another negative enhances the negative effect due to the combination of their magnitudes.

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Simplify using the distributive property. $$ 4-11(3 c-2) $$

Simplify using the distributive property. $$ 22-(a+3) $$

Simplify using the distributive property. $$ -(3 x-7) $$

Convert the units. The voyage of the Mayflower took 2 months and 5 days. Convert the time to days.

Convert the units. On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.