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Chapter 10: Problem 23

Subtract. $$ 2-9 $$

Short Answer

Expert verified
-7

Step by step solution

01

Identify the Operation

We need to subtract two numbers: 2 and 9.
02

Rewrite the Problem

To make it easier, rewrite the subtraction as adding a negative number: \( 2 - 9 = 2 + (-9) \)
03

Perform the Addition

When adding a negative number, you move to the left on the number line. Start from 2 and move 9 units to the left: \( 2 - 9 = 2 + (-9) = -7 \)
04

Write the Final Answer

The result of \( 2 - 9 \) is \( -7 \).

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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 represented with a minus sign in front of them. For example, -1, -2, and -3 are all negative numbers.
We encounter negative numbers in various real-life situations, such as temperatures below freezing, debts, or elevations below sea level.
  • In arithmetic, negative numbers follow the rules of addition, subtraction, multiplication, and division, just like positive numbers.
  • When you add a negative number to a positive one, it鈥檚 like subtracting that number from the positive one.
number line
A number line is a visual representation of numbers on a straight line. It helps us understand the order and relative positions of numbers. In a number line:
  • Positive numbers are placed to the right of zero.
  • Negative numbers are placed to the left of zero.
  • Each step to the right increases the number by 1, and each step to the left decreases it by 1.
To perform operations like addition and subtraction, you move along the number line. For example, to subtract 9 from 2, you start at 2 and move 9 steps to the left.
addition of negative numbers
Adding negative numbers might seem tricky, but it follows a simple principle. When you add a negative number, you move to the left on the number line. Think about it like this:
  • Adding a negative number is the same as subtracting a positive number.
  • For example, instead of thinking of 2 - 9, think of it as 2 + (-9).
To solve 2 - 9, rewrite it as 2 + (-9). Then, on the number line, start at 2 and move 9 steps to the left, landing at -7. Thus, the answer is -7.

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Most popular questions from this chapter

The tallest mountain in the world, when measured from base to peak, is Mauna Kea (White Mountain) in Hawaii. From its base \(19,684 \mathrm{ft}\) below sea level in the Hawaiian Trough, it rises \(33,480 \mathrm{ft}\). What is the elevation of the peak above sea level?

Divide. $$ \frac{-11}{-13} $$

Simplify. $$ \begin{array}{l} 5^{3}+26 \cdot 71- \\ (16+25 \cdot 3) \end{array} $$

Use either \(<\) or \(>\) for \(\square\) to write a true sentence. $$ \begin{array}{l|l} -14.5 & 0.011 \end{array} $$

Multiply. \(80 \cdot(-0.8) \cdot(-90) \cdot(-0.09)\)
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