/*! 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 108 Twice the product of -1 and \(6,... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 108

Twice the product of -1 and \(6,\) subtracted from -4

Short Answer

Expert verified
8

Step by step solution

01

Identify the components

Recognize that the problem involves multiplication and subtraction. The components are -1, 6, and -4.
02

Calculate the product

Multiply -1 and 6:\(-1 \times 6 = -6\)
03

Double the product

Calculate twice the product obtained in Step 2:\(2 \times -6 = -12\)
04

Subtract from -4

Subtract the result from -4 as follows:\(-4 - (-12)\)
05

Simplify the expression

Simplify the subtraction:\(-4 + 12 = 8\)

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.

Multiplication
Multiplication is an arithmetic operation that combines groups of equal sizes. In this exercise, we are multiplying two numbers, -1 and 6.
When you multiply two numbers, like -1 and 6, follow these steps:
  • Determine the sign of the result: The product of a negative number and a positive number is always negative.
  • Multiply the absolute values of the numbers: \(-1 \times 6 = -6\).
  • Combine the sign and the product: The result is \-6\.
Understanding the properties of multiplication helps solve more complex problems easily.

Subtraction
Subtraction is finding the difference between two numbers. In algebra, it's crucial to understand how to handle signs correctly.
In this exercise, we are subtracting twice the product of -1 and 6 from -4. Here are the steps to follow:
  • Identify the numbers involved: We have -4 and -12 (which is twice the product of -1 and 6).
  • Rewriting Subtraction as adding the opposite: \(\text{-4 - (-12) = -4 + 12}\) 鈥� because subtracting a negative number is the same as adding a positive number.
  • Simplify the expression: Add -4 and 12, which results in 8.
Breaking down subtraction into these steps makes the process easier to understand.
Simplifying Expressions
Simplifying expressions means making them easier to work with by combining like terms and applying arithmetic operations.
In this exercise, we simplified \( \text{-4 - (-12)} \) by converting the subtraction of a negative number into an addition: \( \text{-4 + 12} \).
Tips for simplifying expressions:
  • Combine like terms: Terms that have the same variable part or are constants can be added/subtracted.
  • Apply arithmetic operations: Use basic operations like addition, subtraction, multiplication, and division.
  • Use parentheses to group terms clearly: This avoids mistakes, especially with negative numbers.
Following these tips simplifies even the simplest expressions and helps solve algebra problems correctly.

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

The table gives scores (above or below par-that is, above or below the score "standard") for selected golfers during the 2017 Blue Bay LPGA Tournament. Write a signed number that represents the total score (above or below par) for the four rounds for each golfer.

Complete each of the following. "The difference of 7 and 12 " translates as ____________ while "the difference of 12 and \(7 "\) translates as ______________

Find (a) the additive inverse and (b) the absolute value. -4

Write each phrase as a mathematical expression using \(x\) as the variable, and simplify. A number multiplied by \(-7,\) subtracted from the sum of 13 and six times the number

Find the average of each group of numbers. -17,34,9,-2
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

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.