Problem 99 Perform the indicated operation.... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 2: Problem 99

Perform the indicated operation. $$(-2)(-5)(4)$$

Short Answer

Expert verified

Step by step solution

- Perform the First Multiplication

First, multiply the first two numbers together. Multiply (-2) by (-5).oTo perform this,\[(-2) \times (-5) = 10\]Multiplying two negative numbers results in a positive number.

- Multiply by the Third Number

Next, take the result from Step 1, which is 10, and multiply it by the third number, which is 4.\[10 \times 4 = 40\]This results in 40.

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Key Concepts

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

negative numbers

Negative numbers are numbers less than zero. They are used to express values below a defined point, like temperatures or debts.

When dealing with negative numbers in multiplication, some rules can help:

Multiplying a negative number by a positive number gives a negative result. For example, $(-2) \times 4 = -8$.
Multiplying two negative numbers gives a positive result. For example, $(-2) \times (-5) = 10$.

These rules are essential when solving problems that involve both positive and negative integers.

positive numbers

Positive numbers are all the numbers greater than zero. They are used to indicate quantities that are above a defined point.

In arithmetic operations, positive numbers follow straightforward rules:

Multiplying a positive number by another positive number gives a positive result. For example, $4 \times 5 = 20$.
Multiplying a positive number by a negative number gives a negative result, as noted earlier.

Understanding these simple multiplication rules helps in solving arithmetic problems smoothly.

basic arithmetic operations

Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations are fundamental in mathematics.

Here is a brief overview:

Addition: Combining two numbers to find their total. For example, $3 + 5 = 8$.
Subtraction: Finding the difference between two numbers. For example, $9 - 4 = 5$.
Multiplication: Repeated addition of a number. For example, $2 \times 3$ means adding 2 three times, which equals 6.
Division: Splitting a number into equal parts. For example, $12 \div 4 = 3$.

In the given exercise, we specifically focused on multiplication. Starting by multiplying $-2$ and $-5$, we get 10 because multiplying two negatives results in a positive number. Then, multiplying by 4 gives us 40. These basic principles guide us in solving such problems efficiently.

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91影视

Perform the indicated operation. $$(-2)(-5)(4)$$

Short Answer

Step by step solution

- Perform the First Multiplication

- Multiply by the Third Number

Key Concepts

negative numbers

positive numbers

basic arithmetic operations

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