The problem is to evaluate the expression $-4 \times 3 - (-2)^3$.

ArithmeticOrder of OperationsInteger Arithmetic
2025/6/3

1. Problem Description

The problem is to evaluate the expression 4×3(2)3-4 \times 3 - (-2)^3.

2. Solution Steps

First, we calculate 4×3-4 \times 3.
4×3=12-4 \times 3 = -12
Next, we calculate (2)3(-2)^3.
(2)3=(2)×(2)×(2)=4×(2)=8(-2)^3 = (-2) \times (-2) \times (-2) = 4 \times (-2) = -8
Now we substitute these values back into the original expression.
4×3(2)3=12(8)-4 \times 3 - (-2)^3 = -12 - (-8)
12(8)=12+8-12 - (-8) = -12 + 8
12+8=4-12 + 8 = -4

3. Final Answer

-4

Related problems in "Arithmetic"

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

We need to evaluate the expression $(-2)^3 \div (-3)^3 \times (-6)^2 \div 4^2$.

Order of OperationsExponentsFractionsSimplification
2025/6/1