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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

Fill in each blank with one of the following: greater than 0, less than 0, equal to \(0 .\) If three positive numbers, five negative numbers, and zero are multiplied, the product is _____.

Use the commutative or the associative property to complete each statement. State which property is used. See Examples I and 2. $$ 8 \cdot(6 \cdot 4)=(8 \cdot \quad) \cdot 4 $$

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

Fill in each blank with one of the following: greater than 0, less than 0, equal to \(0 .\) The product or the quotient of two numbers with different signs is _____.

Write a numerical expression for each phrase and simplify. The sum of \(-7\) and \(-13,\) increased by 14
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