Problem 109 What is 6 subtracted from the su... [FREE SOLUTION]

91影视

Chapter 1: Problem 109

What is 6 subtracted from the sum of the squares of 5 and 8?

Short Answer

Expert verified

The result is 83.

Step by step solution

Square the First Number

First, find the square of 5. This means multiplying 5 by itself: \(5^2 = 25\).

Square the Second Number

Next, find the square of 8. This means multiplying 8 by itself: \(8^2 = 64\).

Add the Squares

Add the results from Step 1 and Step 2 together: \(25 + 64 = 89\).

Subtract 6

Subtract 6 from the sum obtained in Step 3: \(89 - 6 = 83\).

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.

Squaring Numbers

Squaring a number is one of the basic arithmetic operations. It involves multiplying a number by itself. This operation is represented mathematically as \(n^2\), where \(n\) is the number you want to square.
Take the number 5 as an example. When you square 5, you multiply it by itself: \(5 \times 5 = 25\).
Similarly, squaring the number 8 involves multiplying 8 by itself: \(8 \times 8 = 64\).
Squaring numbers helps in various areas of mathematics, such as calculating area for square-shaped spaces. In this context, it forms the foundation for the problem at hand, where we need to square two numbers before proceeding with further operations.

Addition

After squaring the numbers, the next step in the problem is to add these squared values together. Addition, one of the most basic arithmetic operations, involves calculating the total of two or more numbers.
Mathematically, adding two numbers is represented by the plus sign \(+\).
So, if we add the squares of the two numbers from the previous step: \(25 + 64\). This gives a result of 89, which is the sum of the squared numbers.

Addition is often used to combine quantities or to accumulate total values.
It is simple yet foundational for many mathematical processes.

In our exercise, the sum calculation is crucial as it sets the stage for the subsequent operation of subtraction.

Subtraction

Subtraction is a key arithmetic operation that involves taking one quantity away from another. It can be thought of as the opposite of addition. This operation is represented by the minus sign \(-\).
In our exercise, the subtraction task is to remove 6 from the sum of the squared numbers, which we previously calculated as 89.
Performing this subtraction: \(89 - 6 = 83\). This gives the final answer to the problem.

Subtraction is widely used in everyday situations, like calculating change due or determining the difference between amounts.
Understanding subtraction is crucial for situations where you'll need to deduct or compare.

By mastering subtraction, along with other arithmetic operations, you can efficiently solve a vast range of mathematical problems.

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

What is 6 subtracted from the sum of the squares of 5 and 8?

Short Answer

Step by step solution

Square the First Number

Square the Second Number

Add the Squares

Subtract 6

Key Concepts

Squaring Numbers

Addition

Subtraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Applied Mathematics

Calculus

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.