/*! 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 64 Find each absolute value. $$|-... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 64

Find each absolute value. $$|-47|$$

Short Answer

Expert verified
47

Step by step solution

01

Understand Absolute Value

Absolute value is the distance of a number from zero on the number line, regardless of direction. Therefore, absolute value is always non-negative.
02

Identify the Number

Here, the number given is -47.
03

Apply the Absolute Value Concept

Since absolute value measures the distance from zero without considering the sign, the absolute value of -47 is 47.

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Key Concepts

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

Number Line
The number line is a visual representation of numbers arranged in a straight line. Each point on the line corresponds to a number.

To understand placing numbers on a number line, start with 0, which is typically in the center. Moving right of 0, we have positive numbers like 1, 2, 3, and so on. Moving left, we have negative numbers like -1, -2, -3, etc.
  • The further right you go, the larger the positive number.
  • The further left you go, the larger the absolute value of the negative number, but with a negative sign.
  • The absolute value of any number is the distance of that number from 0.
Distance from Zero
Distance from zero refers to how far away a number is from zero on the number line. This measurement is what we call absolute value.

For example, the distance from 3 to 0 is 3, and the distance from -3 to 0 is also 3. Even though -3 is to the left of 0, we measure distance as a positive value.
  • Absolute value ignores whether the number is negative or positive.
  • It only looks at the size of the gap or interval.
  • This property makes absolute values always non-negative.
Non-Negative
Non-negative means a number is either positive or zero; it鈥檚 never negative. Non-negative numbers include all positive numbers and zero.

Absolute values are non-negative by definition because they represent distance, which can鈥檛 be negative.
  • To find the absolute value, you remove any negative sign from the number.
  • For example, |-47| results in 47, as you're focusing only on the magnitude, not the direction.
  • Thus, the absolute value of any number is its non-negative version.

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Most popular questions from this chapter

Given that \(0.3 \overline{3}=\frac{1}{3}\) and \(0.6 \overline{6}=\frac{2}{3},\) express each of the following as a ratio of two integers. $$0.1 \overline{1}$$

Simplify using a calculator. Round your answer to the nearest thousandth. $$ \frac{2.5^{2}-10 \cdot 12 \div(-1.5)}{(3+5)^{2}-60} $$

Write an equivalent expression without using grouping symbols. $$ -(4 a-3 b+7 c) $$

Translate to an algebraic expression.[ 1.1] Nine more than twice a number

Simplify using a calculator. Round your answer to the nearest thousandth. $$ |13.5+8(-4.7)|^{3} $$
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