/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 78 Fill in the blank with the inequ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 78

Fill in the blank with the inequality symbol \(<\) or \(>\). $$14 \square 24$$

Short Answer

Expert verified
14 < 24

Step by step solution

01

Understand the Symbols

The inequality symbols are used to compare two values. The symbol '<' means 'less than', and the symbol '>' means 'greater than'.
02

Compare the Numbers

Look at the two numbers: 14 and 24. Determine which number is smaller and which is larger.
03

Fill in the Blank

Since 14 is smaller than 24, we use the '<' symbol to show that 14 is less than 24.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Comparing Numbers
When we compare numbers, we are looking to see which number is bigger or smaller. This is especially important in many areas of mathematics, including in equations, data analysis, and problem-solving.

To compare two numbers, follow these steps:
  • Look at the digits from left to right.
  • Start by comparing the most significant digit (the leftmost digit). If they are not the same, the number with the higher digit is larger.
  • If they are the same, move to the next digit to the right and compare again.
  • If all digits are the same, then the two numbers are equal.
In our example with 14 and 24, here's how it works: You start by comparing the leftmost digits (1 and 2). Since 1 is smaller than 2, we know that 14 is smaller than 24.
Inequality Symbols
Inequality symbols are used to show the relationship between two values that are not equal. The most common symbols are:
  • <: This symbol means 'less than'. For instance, if you have 3 < 5, it means that 3 is less than 5.
  • >: This symbol means 'greater than'. For example, if you see 10 > 6, it means that 10 is greater than 6.
Understanding these symbols helps in comparing numbers effectively. Let's apply this to our original problem: Since 14 is less than 24, we use the '<' symbol to represent this inequality: $$14 < 24$$.
Prealgebra Basics
Prealgebra is the foundation of all algebra topics. It introduces the basic concepts and skills needed for higher mathematics. This includes working with numbers, understanding operations, and learning how to solve simple equations.

Some key topics often covered in prealgebra are:
  • Basic Arithmetic: Addition, subtraction, multiplication, and division.
  • Fractions and Decimals: How to convert between them and perform operations.
  • Integers: Positive and negative numbers.
  • Inequalities: Learning how to compare numbers using inequality symbols.
Getting a good grasp of these basics is important because they will be used repeatedly in more complex mathematical problems. In our example, we used the concept of comparing numbers and inequality symbols, which are both part of prealgebra basics, to determine that 14 < 24.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Check the following division problems. If it does not check, find the correct answer. $$\frac{1021}{9}=113 \mathrm{R} 4$$

Fill in the blank with the inequality symbol \(<\) or \(>\). $$14 \square 13$$

Convert the number to standard form. Six thousand, five

Pinkham Notch Visitor Center in the White Mountains of New Hampshire has an elevation of 2032 ft. The summit of nearby Mt. Washington has an elevation of 6288 ft. What is the difference in elevation?

Fill in the blank with the inequality symbol \(<\) or \(>\). $$6 \square 11$$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.