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Chapter 1: Problem 101

Write a numerical expression for each phrase and simplify. 8 less than \(-2\)

Short Answer

Expert verified
-10

Step by step solution

01

Identify the Phrasing

Understand the phrase '8 less than (-2).' This means subtract 8 from (-2).
02

Set Up the Expression

Write the expression based on the identified phrasing: (-2) - 8.
03

Simplify the Expression

Combine the numbers: (-2) - 8 = -10.

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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 often used to represent losses, decreases, or temperature drops. In a number line, negative numbers are located to the left of zero.
For example:
  • -1, -2, -3, and so on.
  • They are denoted by a minus (-) sign in front of the number.
When adding or subtracting with negative numbers, remember that:
  • Adding a negative is the same as subtracting.
  • Subtracting a negative is the same as adding.
Negative numbers have a significant role in various mathematical operations and understanding them is crucial.
subtraction
Subtraction is the process of taking one number away from another. It is one of the basic arithmetic operations.
The symbol for subtraction is the minus sign (-).
When dealing with subtraction involving negative numbers, the rules can be slightly different. Consider this:
  • Subtracting a positive number from a negative number, for example (-2) - 8, makes the number more negative.
  • Subtracting a negative number is the same as adding the same number.
In the given exercise, to find '8 less than (-2),' you essentially subtract 8 from (-2). This results in (-2) - 8, which simplifies to -10.
expression simplification
Expression simplification involves reducing a mathematical expression to its simplest form. This helps in understanding and solving problems more efficiently.

Here is how you can simplify expressions involving negative numbers and subtraction:
  • Step 1: Identify the operation 鈥� '8 less than (-2)' means subtract 8 from (-2).
  • Step 2: Write the expression correctly 鈥� so it becomes (-2) - 8.
  • Step 3: Combine the numbers 鈥� Perform the arithmetic operation to get (-10).
Simplifying expressions accurately is crucial for solving more complex mathematical problems. Always follow the mathematical rules and ensure each step is clearly performed and understood.

Let's practice more to get comfortable with these steps!

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Most popular questions from this chapter

Perform each indicated operation. $$ \left(-\frac{3}{8}-\frac{2}{3}\right)-\left(-\frac{9}{8}-3\right) $$

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 2 if its last digit is divisible by \(2,\) and not otherwise. Show that (a) \(3,473,986\) is divisible by 2 and (b) \(4,336,879\) is not divisible by 2

Perform each indicated operation. $$ |-8-2|-|-9-3| $$

Perform each indicated operation. $$ -4+[(-12+1)-(-1-9)] $$

The two tables show the heights of some selected mountains and the depths of some selected trenches. Use the information given to answer. \( \)\begin{array}{|l|c|}\hline \text { Mountain } & {\text { Height (in feet) }} \\\ {\text { Foraker }} & {17,400} \\ {\text { Wilson }} & {14,246} \\\ {\text { Pikes Peak }} & {14,110} \\ \hline\end{array} $$ \begin{array}{|l|c|}\hline\text {} & {\text { Depth }( \text { in feet } } \\ {\text { Trench }} & {\text { as a negative number }} \\ {\text { Philippine }} & {-32,995} \\ {\text { Cayman }} & {-24,721} \\ {\text { Java }} & {-23,376} \\ \hline \end{array} $$ What is the difference between the height of Pikes Peak and the depth of the Java Trench?
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