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Chapter 2: Problem 33

Add or subtract as indicated. $$ 8-13 $$

Short Answer

Expert verified
The result is -5.

Step by step solution

01

Identify Operation

The exercise asks us to subtract 13 from 8. This is a subtraction problem.
02

Reorder the Expression

Reorder the numbers to highlight the operation clearly: starting with 8, and then subtracting 13 from it. Express it as: 8 - 13.
03

Perform the Subtraction

Calculate the result of subtracting 13 from 8. Since 8 is smaller than 13, the result will be negative. 8 minus 13 equals -5.

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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 a basic part of mathematics that can initially seem confusing. They are numbers less than zero and often represent a loss or the absence of something. In a number line, negative numbers are found to the left of zero. When you subtract a larger number from a smaller number, the result is negative. For example, in the problem given where we subtract 13 from 8, think of it like owing more money than you have. You start with 8, but you need to take away 13. This situation leaves you in the negative zone, specifically at \(-5\). Understanding negative numbers helps with grasping other mathematical concepts such as subtraction and equations. Remember:
  • A negative number is always less than zero.
  • Negatives are often denoted by a minus sign (-) before the number.
Basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations form the foundation of math. In this exercise, we focus on subtraction. It involves taking one number away from another. Subtraction can also be thought of as the difference between two amounts. When you see a subtraction problem such as 8 - 13, you're finding out how much less 13 is from 8. Key points to remember:
  • Addition is the opposite of subtraction.
  • When subtracting larger numbers from smaller numbers, the result is negative.
  • Subtraction can be visualized using a number line by moving left from the starting number.
Reordering expressions
Reordering expressions might seem like a simple step, but it greatly helps in understanding and solving math problems. It involves arranging the problem in a manner that highlights the operations to be performed. In the context of subtraction, like the exercise here, reordering confirms the sequence: start with your initial value and clearly show the number being subtracted. For example, displaying the expression as 8 - 13 ensures that we clearly understand what action to take 鈥� subtract 13 from 8, not the other way around. Helpful tips for reordering:
  • Write out expressions in left-to-right order, indicating first what you have and next what you are subtracting.
  • Double-check the order to confirm it's correct before calculating.
  • Ensuring accurate order helps prevent confusion and errors during calculations.

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Most popular questions from this chapter

Insert \(<,>,\) or \(=\) between each pair of numbers to make a true statement. $$ |-8| \quad|-11| $$

Represent each quantity by an integer. The Challenger Deep in the Mariana Trench (the deepest-known part of the Pacific Ocean) is the lowest known point in the Earth's seabed hydrosphere. The bottom is estimated to be 35,814 feet below sea level.

Insert \(<,>,\) or \(=\) between each pair of numbers to make a true statement. $$ -|-12|-(-12) $$

Insert \(<,>,\) or \(=\) between each pair of numbers to make a true statement. $$ -|-8| \quad-|-4| $$

Insert \(<\) or \(>\) between each pair of integers to make a true statement. $$ -8 \quad 0 $$
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