/*! 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 17 Fill in the blank with \(<\) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 17

Fill in the blank with \(<\) or \(>\) to make a true statement. $$0 \square-3$$

Short Answer

Expert verified
0 > -3

Step by step solution

01

Understand the problem

To solve this problem, determine whether 0 or -3 is greater or lesser by comparing their values.
02

Compare the values

Recall that negative numbers are always less than positive numbers. So, 0 is greater than any negative number, including -3.
03

Fill in the blank

Based on the comparison, 0 is greater than -3. Hence, we should place the 'greater than' symbol (>) in the blank.

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.

Negative Numbers
Negative numbers are very important in mathematics because they help describe values less than zero. These numbers are always written with a minus sign (-).

For example, -1, -2, -3, and so on, are all negative numbers. They can be tricky because they do not follow the same rules as positive numbers.

One key point to remember is:
  • Any negative number is always less than zero.
Negative numbers get smaller as you move further from zero. This means -3 is less than -1.

Understanding this helps in comparing numbers like 0 and -3. Since 0 is greater than -3, we can say 0 > -3.
Number Line
A number line is a visual tool that helps us understand and compare numbers. It is a straight horizontal line with numbers placed at intervals.

Typically, 0 is placed in the center, with positive numbers to the right and negative numbers to the left.

Consider the number line:
  • ... -3, -2, -1, 0, 1, 2, 3 ...
As you move to the right on the number line, values increase. Conversely, as you move left, values decrease.

For instance, since -3 is located to the left of 0, it's clear that -3 is less than 0. We can then use this visual aid to fill in the blank correctly in our exercise, confirming that 0 > -3.
Greater Than and Less Than
In mathematics, the symbols for 'greater than' (>) and 'less than' (<) help us compare two numbers.

The greater than symbol (>) means the number on the left is larger than the number on the right. On the other hand, the less than symbol (<) indicates that the number on the left is smaller than the number on the right.

To remember which is which, think of the symbol as a hungry alligator that always wants to eat the bigger number!
  • Greater than: 5 > 2 (5 is greater than 2)
  • Less than: 2 < 5 (2 is less than 5)
Applying this to our exercise, because 0 is greater than -3, we use the greater than symbol to complete the statement: 0 > -3.

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

Fill in the blank with \(<,>,\) or \(=\) $$|-55| \square-(-65)$$

Translate the English phrase to a mathematical expression. Then simplify. \(-64\) divided by \(-32\)

Ivan owes 320 dollar on his credit card; that is, his balance is 320 dollar. If he charges 55 dollar for a nigh out, what is his new balance?

Translate each English phrase to a mathematical expression. Then simplify. Subtract 10 from 16

Jeff's balance in his checking account was 2036 dollar at the beginning of the week. During the week, he wrote two checks, made two deposits, and made one ATM withdrawal. What is his ending balance? $$\begin{array}{l|r} \hline \text { Check } & -\$ 150 \\ \hline \text { Check } & -\$ 25 \\ \hline \text { Paycheck (deposit) } & \$ 480 \\ \hline \text { ATM } & -\$ 200 \\ \hline \text { Cash (deposit) } & \$ 80 \\ \hline \end{array}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.