/*! 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 46 Simplify each of the numerical e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 46

Simplify each of the numerical expressions. $$9.8(1.8-0.8)$$

Short Answer

Expert verified
The simplified expression is 9.8.

Step by step solution

01

Evaluate the expression inside the parentheses

Begin by simplifying the expression inside the parentheses: \(1.8 - 0.8\). To do this, subtract \(0.8\) from \(1.8\). This simplifies to \(1.0\).
02

Multiply the result by the coefficient

Next, take the simplified result from Step 1, which is \(1.0\), and multiply it by the coefficient outside the parentheses, which is \(9.8\). Calculate \(9.8 \times 1.0 = 9.8\).

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.

Simplification
Simplification is a fundamental concept in mathematics that involves reducing a complex expression to its simplest form. The essence of simplification is to make calculations easier and results clearer.
For numerical expressions, this often means breaking them down into smaller, more manageable parts and performing operations in a logical order. By simplifying expressions, we can see relationships between numbers more clearly and solve problems with greater ease.
  • Start by looking for operations that can be performed within the expression, such as addition, subtraction, multiplication, or division.
  • These operations should be completed in the correct sequence according to the standard order of operations (PEMDAS/BODMAS).
In the given exercise, simplifying the expression involved performing subtraction first, followed by multiplication. This led us to find the final result through straightforward arithmetic.
Parentheses
Parentheses play a crucial role in mathematical expressions, signifying which operations should be completed first. They act as a guide that organizes the expression and prioritizes certain calculations over others.
Within parentheses, we perform operations in the order they appear unless indicated otherwise by the order of operations.
  • The rule is to always start solving from the innermost set of parentheses and work outward.
  • This ensures that we resolve the most immediate and localized operations before addressing the broader expression.
In our specific exercise, we first needed to simplify the contents inside the parentheses, which was the subtraction of numbers. This step guided us to achieve an intermediate result which then was used for further calculations outside the parentheses.
Coefficients
In math, coefficients are numbers that multiply variables or expressions within an equation or numerical setup. They play a significant role in scaling or modifying values, and understanding them can greatly simplify problem-solving.
A coefficient directly affects the numerical expression it is associated with, meaning it alters the size or magnitude of other numbers or variables.
  • They are usually placed directly in front of a variable or expression to indicate multiplication.
  • Removing or simplifying coefficients involves multiplying them by the results of an expression they are attached to.
In the example provided, the coefficient is 9.8, which was multiplied by the simplified value (1.0) obtained from the expression in the parentheses. This multiplication gave the final result, showing how coefficients can transform a problem into a manageable solution.

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

At this time how would you describe the difference between arithmetic and algebra?

In 2005 the average speed of the winner of the Daytona 500 was \(135.173\) miles per hour. In 1978 the average speed of the winner was \(159.73\) miles per hour. How much faster was the average speed of the winner in 1978 compared to the winner in 2005 ?

Simplify each algebraic expression by combining similar terms. $$5.4 n-0.8 n-1.6 n$$

Perform the indicated operations. $$(-0.11)(-0.15)$$

Perform the indicated operations. $$-14.6-(-8.3)$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

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.