The problem is to evaluate the absolute value of -2, which is written as $|-2|$.

ArithmeticAbsolute ValueReal NumbersNumber Line
2025/3/30

1. Problem Description

The problem is to evaluate the absolute value of -2, which is written as 2|-2|.

2. Solution Steps

The absolute value of a number is its distance from 0 on the number line.
For any real number xx, the absolute value of xx is defined as:
x={x,if x0x,if x<0|x| = \begin{cases} x, & \text{if } x \geq 0 \\ -x, & \text{if } x < 0 \end{cases}
In this case, x=2x = -2. Since 2<0-2 < 0, the absolute value of -2 is given by:
2=(2)=2|-2| = -(-2) = 2

3. Final Answer

The absolute value of -2 is

2. $|-2| = 2$

Related problems in "Arithmetic"

The image presents two statements: "$2 + 1 = 4$" and "Odd numbers are divisible by 2". The problem i...

Basic ArithmeticNumber PropertiesDivisibilityLogical Reasoning
2025/6/6

The problem is to evaluate the sum $3^3 + 3^3 + 3^3$.

ExponentsOrder of OperationsSimplification
2025/6/6

The problem requires us to convert $0.0093 \text{ km}^2$ to $\text{cm}^2$.

Units ConversionAreaMetric SystemExponents
2025/6/5

The problem asks to calculate $\frac{11}{7} \div \frac{5}{8}$ and express the answer as a fraction i...

Fraction DivisionSimplifying Fractions
2025/6/5

The problem asks to calculate the area of a book in square meters, given its dimensions in centimete...

Area CalculationUnit ConversionMeasurement
2025/6/5

The problem states that $n\%$ of $4869$ is a certain value. The goal is to find $n$. Since the other...

PercentageArithmetic Operations
2025/6/3

The problem is to evaluate the expression $3\frac{3}{4} \times (-1\frac{1}{5}) + 5\frac{1}{2}$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3

We need to evaluate the expression $1\frac{1}{5} \times [(-1\frac{1}{4}) + (-3\frac{3}{4})]$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3

We need to evaluate the expression $1\frac{3}{10} + \frac{1}{2} \times (-\frac{3}{5})$.

FractionsMixed NumbersArithmetic OperationsOrder of Operations
2025/6/3

The problem asks us to evaluate the expression $1\frac{1}{5} \times (-\frac{2}{3}) + 1\frac{1}{5}$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3